This research area brings together mathematicians, engineers, and scientists interested in the application of mathematical analysis and computation to problems in materials science. Researchers interested in this area are mathematicians, engineers, and scientists interested in the mathematics of materials science from diverse venues, such as academia, industry, and the national laboratories.

By Xia Ji and Xiaodong Liu SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2325-A2343, January 2020. The inverse acoustic scattering of point objects using multifrequency sparse measurements is studied. The objects may...

By Thomas Roy, Tom B. Jönsthövel, Christopher Lemon, and Andrew J. Wathen SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page B1014-B1040, January 2020. For both isothermal and thermal petroleum reservoir simulation, the constrained pressure residual (CPR) method is the...

By Qianqian Zhang, Biao Tang, Tianyu Cheng, and Sanyi Tang SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1796-1819, January 2020. State-dependent impulsive dynamical systems have been widely applied to model and qualitatively analyze discontinuous and state-dependent...

By Tonghua Tian, Yongyong Cai, Xinming Wu, and Zaiwen Wen SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page B983-B1013, January 2020. The computation of the ground states of spin-$F$ Bose--Einstein condensates (BECs) can be formulated as an...

By Xia Ji and Xiaodong Liu SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2325-A2343, January 2020. The inverse acoustic scattering of point objects using multifrequency sparse measurements is studied. The objects may...

By Thomas Roy, Tom B. Jönsthövel, Christopher Lemon, and Andrew J. Wathen SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page B1014-B1040, January 2020. For both isothermal and thermal petroleum reservoir simulation, the constrained pressure residual (CPR) method is the...

By Qianqian Zhang, Biao Tang, Tianyu Cheng, and Sanyi Tang SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1796-1819, January 2020. State-dependent impulsive dynamical systems have been widely applied to model and qualitatively analyze discontinuous and state-dependent...

By Tonghua Tian, Yongyong Cai, Xinming Wu, and Zaiwen Wen SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page B983-B1013, January 2020. The computation of the ground states of spin-$F$ Bose--Einstein condensates (BECs) can be formulated as an...

By Md. Abdullah Al Mahbub, Xiaoming He, Nasrin Jahan Nasu, Changxin Qiu, Yifan Wang, and Haibiao Zheng SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page B951-B982, January 2020. The purpose of this article is to propose and analyze a new coupled multiphysics model and...

By Gregor Robinson and Ian Grooms SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2281-A2299, January 2020. A blurring algorithm with linear time complexity can reduce the small-scale content of data observed at...

By Sze-Bi Hsu, Zhihua Liu, and Pierre Magal SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1778-1795, January 2020. The goal of this paper is to explain how to derive the classical Rosenzweig--MacArthur model by...

By Franz Chouly, Alexandre Ern, and Nicolas Pignet SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2300-A2324, January 2020. We devise and analyze a hybrid high-order (HHO) method to discretize unilateral and bilateral contact problems...

By Murad Banaji SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1751-1777, January 2020. We show that if a chemical reaction network (CRN) admits nondegenerate (resp., linearly stable) oscillation, and...

By Wenwu Gao, Xingping Sun, Zongmin Wu, and Xuan Zhou SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2262-A2280, January 2020. We propose and study a new multivariate stochastic scattered data quasi-interpolation scheme that is reminiscent...

By Mohit P. Dalwadi and John R. King SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1723-1750, January 2020. When modeling transport of a chemical species to a colony of bacteria in a biofilm, it...

By Kailiang Wu and Chi-Wang Shu SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2230-A2261, January 2020. This paper presents entropy symmetrization and high-order accurate entropy stable schemes for the relativistic magnetohydrodynamic (RMHD)...

By Shusheng Chen, Boxi Lin, Yansu Li, and Chao Yan SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page B921-B950, January 2020. The approximate Riemann solver of Harten--Lax--van Leer (HLL) and its variant HLLC (HLL with Contact restoration)...

By Xin Liu, Xi Chen, Shi Jin, Alexander Kurganov, Tong Wu, and Hui Yu SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2206-A2229, January 2020. We develop a new moving-water equilibria preserving numerical scheme for the Saint-Venant system. The new scheme...

By Yucen Han, Apala Majumdar, and Lei Zhang SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1678-1703, January 2020. We study reduced nematic equilibria on regular two-dimensional polygons with Dirichlet tangent boundary conditions in ...

By Stéphane Junca and Bruno Lombard SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1704-1722, January 2020. A coupled system involving a nonlinear scalar PDE and a linear ODE is theoretically investigated....

By Wei Jiang, Quan Zhao, and Weizhu Bao SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1654-1677, January 2020. The problem of simulating solid-state dewetting of thin films in three dimensions (3D) by using a...

By Kristen E. Harley, Peter van Heijster, Robert Marangell, Graeme J. Pettet, Timothy V. Roberts, and Martin Wechselberger SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1629-1653, January 2020. We examine the spectral stability of travelling waves of the haptotaxis model studied in [K. Harley...

By Lina Zhao and Eun-Jae Park SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2158-A2181, January 2020. We develop a new numerical method, namely, a locking-free staggered cell-centered discontinuous Galerkin method for linear...

By Gerhard Kirsten and Valeria Simoncini SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2182-A2205, January 2020. We consider the numerical solution of large-scale symmetric differential matrix Riccati equations. Under certain hypotheses on...

By Léo Lebrat, Frédéric de Gournay, and Jonas Kahn SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2088-A2107, January 2020. This paper deals with the 3/4-discrete 2-Wasserstein optimal transport between two measures, where one is supported...

By Dario A. Bini, Stefano Massei, Beatrice Meini, and Leonardo Robol SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2108-A2133, January 2020. The treatment of two-dimensional random walks in the quarter plane leads to Markov processes which involve...

By Xinyu He, Kristofer G. Reyes, and Warren B. Powell SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2134-A2157, January 2020. We consider the problem of optimizing an unknown function over a multidimensional continuous domain, where function...

By F. Wagner, J. Latz, I. Papaioannou, and E. Ullmann SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2062-A2087, January 2020. The estimation of the probability of rare events is an important task in reliability and risk...

By Luca Desiderio and Silvia Falletta SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page B894-B920, January 2020. In this paper we consider wave propagation problems in two-dimensional unbounded domains, including dissipative effects, reformulated...

By Fredrik Hellman, Tim Keil, and Axel Målqvist SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2014-A2036, January 2020. In this paper we study elliptic partial differential equations with rapidly varying diffusion coefficient that can...

By Oliver R. A. Dunbar, Matthew M. Dunlop, Charles M. Elliott, Viet Ha Hoang, and Andrew M. Stuart SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A1984-A2013, January 2020. A central theme in classical algorithms for the reconstruction of discontinuous functions from observational data is...

By G. Welper SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A2037-A2061, January 2020. In the last few years, several methods have been developed to deal with jump singularities in...

By Ondrej Maxian and Charles S. Peskin SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page B847-B868, January 2020. The immersed boundary (IB) method is a numerical and mathematical formulation for solving fluid-structure interaction problems....

By Zheng Sun and Cory D. Hauck SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page B869-B893, January 2020. The discrete ordinates discontinuous Galerkin ($S_N$-DG) method is a well-established and practical approach for solving the...

By Daniel Appelö, Fortino Garcia, and Olof Runborg SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A1950-A1983, January 2020. A new iterative method, the WaveHoltz iteration, for solution of the Helmholtz equation is presented....

By Marta D'Elia, Xiaochuan Tian, and Yue Yu SIAM Journal on Scientific Computing, Volume 42, Issue 4, Page A1935-A1949, January 2020. Nonlocal models provide exceptional simulation fidelity for a broad spectrum of scientific and engineering applications. However,...

By Di Kang, Patrick Choi, and Chiu-Yen Kao SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1607-1628, January 2020. We consider the problem of minimizing the first nonzero eigenvalue of an elliptic operator with Neumann...

By Guozhi Dong and Hailong Guo SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1885-A1912, January 2020. This paper investigates gradient recovery schemes for data defined on discretized manifolds. The proposed method, parametric...

By Guillaume Bertoli and Gilles Vilmart SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1913-A1934, January 2020. The Strang splitting method, formally of order two, can suffer from order reduction when applied to...

By Alejandro Allendes, Enrique Otárola, and Abner J. Salgado SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1860-A1884, January 2020. In two dimensions, we propose and analyze an a posteriori error estimator for finite element approximations...

By Rémi Abgrall and Davide Torlo SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B816-B845, January 2020. This work introduces an extension of the residual distribution (RD) framework to stiff relaxation problems. The...

By Qiang Du, Ruotai Li, and Lei Zhang SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1590-1606, January 2020. The electric field plays an important role in ferroelectric phase transition. There have been numerous phase...

By Dang H. Nguyen and Edouard Strickler SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1567-1589, January 2020. In numerous papers, the behavior of stochastic population models is investigated through the sign of...

By Ron Estrin, Michael P. Friedlander, Dominique Orban, and Michael A. Saunders SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1809-A1835, January 2020. We develop a general equality-constrained nonlinear optimization algorithm based on a smooth penalty function proposed by...

By Ron Estrin, Michael P. Friedlander, Dominique Orban, and Michael A. Saunders SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1836-A1859, January 2020. We build upon R. Estrin et al., [SIAM J. Sci. Comput., 42 (2020), pp. A1809--A1835]...

By William Leeb and Vladimir Rokhlin SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1789-A1808, January 2020. This paper introduces a fast and numerically stable algorithm for the solution of fourth-order linear boundary...

By Laurent Bourgeois and Christophe Hazard SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1546-1566, January 2020. We address scattering problems for impenetrable obstacles in an infinite elastic Kirchhoff--Love two-dimensional plate. The analysis...

By Frédéric Paquin-Lefebvre, Wayne Nagata, and Michael J. Ward SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1520-1545, January 2020. We study the dynamics of systems consisting of two spatially segregated ODE compartments coupled through a...

By Zhenguo Bai, Yijun Lou, and Xiao-Qiang Zhao SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1493-1519, January 2020. Diapause, a period of arrested development driven by adverse environmental conditions, plays an important role in...

By X. T. Tong, M. Morzfeld, and Y. M. Marzouk SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1765-A1788, January 2020. Markov chain Monte Carlo (MCMC) samplers are numerical methods for drawing samples from a given target...

By Delyan Z. Kalchev and Panayot S. Vassilevski SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1741-A1764, January 2020. We modify the well-known interior penalty finite element discretization method so that it allows for element-by-element...

By Junqing Chen, Ying Liang, and Jun Zou SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1467-1492, January 2020. We study an inverse problem associated with an eddy current model. We first address the ill-posedness...

By Elliot Cartee and Alexander Vladimirsky SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1441-1466, January 2020. We present two models of perpetrators' decision-making in extracting resources from a protected area. It...

By Elizabeth Herman, Alen Alexanderian, and Arvind K. Saibaba SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1714-A1740, January 2020. We consider optimal design of PDE-based Bayesian linear inverse problems with infinite-dimensional parameters. We focus on...

By Ruo Li, Yanli Wang, and Yixuan Wang SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B792-B815, January 2020. We propose a Hermite--Galerkin spectral method to numerically solve the spatially homogeneous Fokker--Planck--Landau equation with a...

By Mikyoung Lim and Graeme W. Milton SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1420-1440, January 2020. For certain shapes of inclusions embedded in a body, the field inside the inclusion is uniform...

By Yongfeng Li, Haoyang Liu, Zaiwen Wen, and Ya-xiang Yuan SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1686-A1713, January 2020. In this paper, we study fixed-point schemes with certain low-rank structures arising from matrix optimization problems....

By J. H. Adler, F. J. Gaspar, X. Hu, P. Ohm, C. Rodrigo, and L. T. Zikatanov SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B761-B791, January 2020. In this paper, we present block preconditioners for a stabilized discretization of the poroelastic equations developed...

By Andrea Cristofari, Francesco Rinaldi, and Francesco Tudisco SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1392-1419, January 2020. Maximizing the modularity of a network is a successful tool to identify an important community of...

By Bingquan Ji, Hong-lin Liao, Yuezheng Gong, and Luming Zhang SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B738-B760, January 2020. Adaptive second-order Crank--Nicolson time-stepping methods using the recent scalar auxiliary variable (SAV) approach are developed for...

By Rinaldo M. Colombo, Helge Holden, and Francesca Marcellini SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1377-1391, January 2020. We introduce a formalism to deal with the microscopic modeling of vehicular traffic on a road...

By Olivier Mercier, Xi-Yuan Yin, and Jean-Christophe Nave SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1663-A1685, January 2020. We present a new numerical method for transporting arbitrary sets in a velocity field. The method...

By Juan Segura, Frank M. Hilker, and Daniel Franco SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1356-1376, January 2020. Motivated by a problem in the management of ecological populations, we study the bifurcation structure known...

By Chen Jia SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1336-1355, January 2020. Single-cell RNA sequencing data have complex features such as dropout events, overdispersion, and high-magnitude outliers, resulting...

By Pierre Blanchard, Nicholas J. Higham, Florent Lopez, Theo Mary, and Srikara Pranesh SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page C124-C141, January 2020. Computing units that carry out a fused multiply-add (FMA) operation with matrix arguments, referred to as...

By David Moxey, Roman Amici, and Mike Kirby SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page C97-C123, January 2020. With the gap between processor clock speeds and memory bandwidth speeds continuing to increase, the use...

By Hannah Lu and Daniel M. Tartakovsky SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1639-A1662, January 2020. Dynamic mode decomposition (DMD), which belongs to the family of singular-value decompositions (SVDs), is a popular...

By Mingtao Xia, Chris D. Greenman, and Tom Chou SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1307-1335, January 2020. Cell division is a process that involves many biochemical steps and complex biophysical mechanisms. To...

By H. Bin Zubair Syed, C. Farquharson, and S. MacLachlan SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B696-B721, January 2020. Geophysical electromagnetic (EM) methods are an important technique for investigating the subsurface of the Earth, particularly...

By Steven Roberts, Arash Sarshar, and Adrian Sandu SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1609-A1638, January 2020. Traditional time discretization methods use a single timestep for the entire system of interest and can...

By Yilun Shang SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1272-1289, January 2020. Community structure underpins many complex networked systems and plays a vital role when components in some...

By Yunjeong Lee, Yoon-gu Hwang, Hee-Dae Kwon, Jun Yong Choi, and Jeehyun Lee SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1290-1306, January 2020. A hierarchical mixed-effects model is proposed to account for both individual- and population-level variability in human...

By Isaac Harris and Dinh-Liem Nguyen SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B722-B737, January 2020. This paper is concerned with the electromagnetic inverse scattering problem that aims to determine the location...

By Shanshan Chen and Junping Shi SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1247-1271, January 2020. The effect of diffusion rates on the basic reproduction number of a general compartmental reaction-diffusion epidemic...

By Benedict Leimkuhler, Matthias Sachs, and Gabriel Stoltz SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1197-1222, January 2020. Adaptive Langevin dynamics is a method for sampling the Boltzmann--Gibbs distribution at prescribed temperature in cases...

By Arvind K. Saibaba SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1582-A1608, January 2020. The discrete empirical interpolation method (DEIM) is a popular technique for nonlinear model reduction, and it...

By Christopher M. Heggerud, Hao Wang, and Mark A. Lewis SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1223-1246, January 2020. Cyanobacterial (CB) blooms are becoming a global concern due to the increasing prevalence of eutrophication....

By Ricardo Delgadillo and Di Liu SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B656-B674, January 2020. In this paper, we develop a novel spectral method for solving the time-dependent Kohn--Sham equations...

By Annie Cuyt, Yuan Hou, Ferre Knaepkens, and Wen-shin Lee SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B675-B695, January 2020. We present a $d$-dimensional exponential analysis algorithm that offers a range of advantages compared to other...

By Zhengguang Liu and Xiaoli Li SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B630-B655, January 2020. In this paper, we consider an exponential scalar auxiliary variable (E-SAV) approach to obtain energy stable...

By Christoph Börgers and Claude Greengard SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1175-1196, January 2020. Many physical and biological processes are modeled by “particles" undergoing Lévy random walks. A feature of...

By Lin Mu SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B608-B629, January 2020. In this paper, we develop a pressure robust weak Galerkin finite element scheme for Stokes equations...

By Alexander Aurell and Boualem Djehiche SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1153-1174, January 2020. This paper introduces a system of SDEs of mean-field type that models pedestrian motion. The system...

By Patrick Henning and Anna Persson SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B581-B607, January 2020. In this paper we consider a numerical homogenization technique for curl-curl problems that is based on...

By A. M. Bersani, A. Borri, A. Milanesi, G. Tomassetti, and P. Vellucci SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1123-1152, January 2020. In this paper we study the mathematical model of the Goldbeter--Koshland switch, or futile cycle, which...

By Pierre Blanchard, Nicholas J. Higham, and Theo Mary SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1541-A1557, January 2020. The need to sum floating-point numbers is ubiquitous in scientific computing. Standard recursive summation of $n$...

By Zhifang Du and Jiequan Li SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1558-A1581, January 2020. Reliable tracking of moving boundaries is important for the simulation of compressible fluid flows, and...

By Ling Guo, Akil Narayan, and Tao Zhou SIAM Review, Volume 62, Issue 2, Page 483-508, January 2020. Polynomial approximations constructed using a least-squares approach form a ubiquitous technique in numerical computation. One of the simplest ways...

By Lloyd N. Trefethen SIAM Review, Volume 62, Issue 2, Page 439-462, January 2020. Boundary-value problems involving the linear differential equation $\varepsilon y'' - x y' + y = 0$ have surprising properties...

By Yair Carmon and John C. Duchi SIAM Review, Volume 62, Issue 2, Page 395-436, January 2020. We consider minimization of indefinite quadratics with either trust-region (norm) constraints or cubic regularization. Despite the nonconvexity of these...

By Anne Greenbaum, Ren-Cang Li, and Michael L. Overton SIAM Review, Volume 62, Issue 2, Page 463-482, January 2020. We present first-order perturbation analysis of a simple eigenvalue and the corresponding right and left eigenvectors of a general...

By Philipp Grohs, Sarah Koppensteiner, and Martin Rathmair SIAM Review, Volume 62, Issue 2, Page 301-350, January 2020. The problem of phase retrieval, i.e., the problem of recovering a function from the magnitudes of its Fourier...

By Michael T. Schaub, Austin R. Benson, Paul Horn, Gabor Lippner, and Ali Jadbabaie SIAM Review, Volume 62, Issue 2, Page 353-391, January 2020. Using graphs to model pairwise relationships between entities is a ubiquitous framework for studying complex systems and data. Simplicial...

By Shu-Lin Wu and Jun Liu SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1510-A1540, January 2020. In this paper, we propose a new efficient preconditioner for iteratively solving the large-scale indefinite saddle-point...

By Chaozhen Wei, Luchan Zhang, Jian Han, David J. Srolovitz, and Yang Xiang SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1101-1122, January 2020. The microstructure of polycrystalline materials consists of networks of grain boundaries (GBs) and triple junctions (TJs),...

By Klaudius Scheufele, Shashank Subramanian, Andreas Mang, George Biros, and Miriam Mehl SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page B549-B580, January 2020. We present a novel formulation for the calibration of a biophysical tumor growth model from a...

By Volker H. Schulz SIAM Review, Volume 62, Issue 2, Page 511-526, January 2020. I am writing these lines in April 2020 while science is in lockdown mode globally. They will be published...

By The Editors SIAM Review, Volume 62, Issue 2, Page 393-393, January 2020. The SIGEST article in this issue, “First-Order Methods for Nonconvex Quadratic Minimization,” by Yair Carmon and John C. Duchi,...

By Misha E. Kilmer SIAM Review, Volume 62, Issue 2, Page 351-351, January 2020. The current issue of SIAM Review features the Research Spotlights article “Random Walks on Simplicial Complexes and the Normalized...

By Darinka Dentcheva SIAM Review, Volume 62, Issue 2, Page 437-438, January 2020. The Education section of SIAM Review presents three papers in this issue. In the first paper Lloyd N. Trefethen...

By J. M. Sanz-Serna SIAM Review, Volume 62, Issue 2, Page 299-299, January 2020. In a previous issue of SIAM Review, I started my introduction to the Survey and Review section by saying...

By Lei Li, Zhenli Xu, and Yue Zhao SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1486-A1509, January 2020. We propose a fast potential splitting Markov chain Monte Carlo method which costs $O(1)$ time each...

By Dominic Etienne Charrier, Benjamin Hazelwood, and Tobias Weinzierl SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page C69-C96, January 2020. High-order discontinuous Galerkin (DG) methods promise to be an excellent discretization paradigm for hyperbolic differential equation...

By Jesse Laeuchli and Andreas Stathopoulos SIAM Journal on Scientific Computing, Volume 42, Issue 3, Page A1459-A1485, January 2020. We present extensions to hierarchical probing, a method developed in [A. Stathopoulos, J. Laeuchli, and K....

By Shrinidhi S. Pandurangi, Timothy J. Healey, and Nicolas Triantafyllidis SIAM Journal on Applied Mathematics, Volume 80, Issue 3, Page 1083-1100, January 2020. Transverse wrinkles are known to appear in thin rectangular elastic sheets when stretched in the long...

By Ruo Li and Fanyi Yang SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1428-A1457, January 2020. We propose a discontinuous Galerkin (DG) method to approximate the elliptic interface problem on unfitted mesh...

By Noemi Montobbio, Alessandro Sarti, and Giovanna Citti SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 1057-1081, January 2020. The purpose of this work is to construct a model for the functional architecture of the...

By Mark Ainsworth, Ozan Tugluk, Ben Whitney, and Scott Klasky SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1402-A1427, January 2020. Previous work on multilevel techniques for compression and reduction of scientific data is extended to the...

By Francisco de la Hoz, Sandeep Kumar, and Luis Vega SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 1034-1056, January 2020. In this paper, we consider the evolution of the vortex filament equation (VFE): $X_t = X_s...

By Felipe Vico, Leslie Greengard, Michael O'Neil, and Manas Rachh SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1380-A1401, January 2020. In this work we present an algorithm to construct an infinitely differentiable smooth surface from an...

By Vu Thai Luan, Rujeko Chinomona, and Daniel R. Reynolds SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1245-A1268, January 2020. This work focuses on the development of a new class of high-order accurate methods for multirate...

By Thomas G. Anderson, Oscar P. Bruno, and Mark Lyon SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1348-A1379, January 2020. This paper proposes a frequency/time hybrid integral-equation method for the time-dependent wave equation in two- and...

By Johnathan M. Bardsley and Per Christian Hansen SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1269-A1288, January 2020. In many inverse problems, a nonnegativity constraint is natural. Moreover, in some cases, we expect the...

By Raquel González-Fariña, Andreas Münch, James M. Oliver, and Robert A. Van Gorder SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 1003-1033, January 2020. Microsilica particles arise as a byproduct of silicon furnace operation, created inside high temperature flames due...

By Johnathan M. Bardsley, Tiangang Cui, Youssef M. Marzouk, and Zheng Wang SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1317-A1347, January 2020. Optimization-based samplers such as randomize-then-optimize (RTO) [J. M. Bardsley et al., SIAM J. Sci. Comput., 36...

By N. Benjamin Erichson, Peng Zheng, Krithika Manohar, Steven L. Brunton, J. Nathan Kutz, and Aleksandr Y. Aravkin SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 977-1002, January 2020. Sparse principal component analysis (SPCA) has emerged as a powerful technique for modern data analysis, providing...

By Akash Anand, Jeffrey S. Ovall, Samuel E. Reynolds, and Steffen Weißer SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1289-A1316, January 2020. We present a Trefftz-type finite element method on meshes consisting of curvilinear polygons. Local basis...

By Sören Bartels and Gerd Wachsmuth SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1226-A1244, January 2020. This article investigates the numerical approximation of shape optimization problems with PDE constraint on classes of...

By Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou, Florian Méhats, and Xiaofei Zhao SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page B520-B547, January 2020. In this paper, we consider the three dimensional Vlasov equation with an inhomogeneous, varying direction, strong...

By Johan Helsing and Anders Karlsson SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 951-976, January 2020. A boundary integral equation formulation is presented for the electromagnetic transmission problem where an incident electromagnetic...

By Xiao Liu, Jianlin Xia, and Maarten de Hoop SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1174-A1199, January 2020. For discretized elliptic equations, we develop a new factorization update algorithm that is suitable for incorporating...

By Tommy Etling, Roland Herzog, Estefanía Loayza, and Gerd Wachsmuth SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1200-A1225, January 2020. We consider shape optimization problems subject to elliptic partial differential equations. In the context of the...

By Zuhan Liu, Canrong Tian, and Shigui Ruan SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 929-950, January 2020. Based on the invasion of the Aedes albopictus mosquitoes and the competition between Ae. albopictus and...

By Lauren R. Dickman, Evan Milliken, and Yang Kuang SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 906-928, January 2020. Melanoma, the deadliest form of skin cancer, is regularly treated by surgery in conjunction with a...

By Paola F. Antonietti and Laura Melas SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1147-A1173, January 2020. We present algebraic multigrid (AMG) methods for the efficient solution of the linear system of equations...

By Youngsoo Choi, Deshawn Coombs, and Robert Anderson SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1116-A1146, January 2020. Several reduced order models have been successfully developed for nonlinear dynamical systems. To achieve a considerable...

By Hanz Martin Cheng and Jérôme Droniou SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1071-A1096, January 2020. In this paper, we develop the ball-approximated characteristics (B-char) method, which is an algorithm for efficiently...

By Qiyuan Pang, Kenneth L. Ho, and Haizhao Yang SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1097-A1115, January 2020. This paper introduces a “kernel-independent” interpolative decomposition butterfly factorization (IDBF) as a data-sparse approximation for matrices...

By Tommaso Taddei SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A997-A1027, January 2020. We propose a general---i.e., independent of the underlying equation---registration method for parameterized model order reduction. Given...

By Antonio Baeza, Raimund Bürger, Pep Mulet, and David Zorío SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1028-A1051, January 2020. A novel scheme, based on third-order weighted essentially nonoscillatory (WENO) reconstructions, is presented. It attains unconditionally...

By Samuel Cogar SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 881-905, January 2020. The Stekloff eigenvalue problem has been a recent problem of interest due to its potential use...

By Stefano Massei, Leonardo Robol, and Daniel Kressner SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page C43-C68, January 2020. Matrices with hierarchical low-rank structure, including HODLR and HSS matrices, constitute a versatile tool to develop...

By J. Thomas Beale SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A1052-A1070, January 2020. We present a general purpose method for solving partial differential equations on a closed surface, based...

By Peter Benner, Zvonimir Bujanović, Patrick Kürschner, and Jens Saak SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A957-A996, January 2020. In this paper, we discuss numerical methods for solving large-scale continuous-time algebraic Riccati equations. These...

By Quentin Wargnier, Sylvain Faure, Benjamin Graille, Thierry Magin, and Marc Massot SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page B492-B519, January 2020. This contribution deals with the modeling of collisional multicomponent magnetized plasmas in thermal and chemical nonequilibrium...

By Remi R. Lam, Olivier Zahm, Youssef M. Marzouk, and Karen E. Willcox SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A929-A956, January 2020. We propose a multifidelity dimension reduction method to identify a low-dimensional structure present in many engineering...

By Lijun Yuan and Ya Yan Lu SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 864-880, January 2020. A bound state in the continuum (BIC) on a periodic structure sandwiched between two homogeneous media...

By Vandana Dwarka and Cornelis Vuik SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A901-A928, January 2020. Recent research efforts aimed at iteratively solving the Helmholtz equation have focused on incorporating deflation techniques...

By Robbin Bastiaansen, Arjen Doelman, Frank van Langevelde, and Vivi Rottschäfer SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 839-863, January 2020. Thermoregulation in honey bee colonies during winter is thought to be self-organized. We added mortality of...

By Dang Hai Nguyen, George Yin, and Chao Zhu SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 814-838, January 2020. This paper investigates a stochastic SIRS epidemic model with an incidence rate that is sufficiently...

By S. De Marchi, W. Erb, F. Marchetti, E. Perracchione, and M. Rossini SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page B472-B491, January 2020. Accurate interpolation and approximation techniques for functions with discontinuities are key tools in many applications, such...

By Victor Minden and Lexing Ying SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A878-A900, January 2020. We present a simple discretization scheme for the hypersingular integral representa- tion of the fractional Laplace...

By Sheng Chen, Jie Shen, Zhimin Zhang, and Zhi Zhou SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A849-A877, January 2020. In this paper, we develop and analyze a spectral-Galerkin method for solving subdiffusion equations, which contain...

By Antonio Gaudiello and Michel Lenczner SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 792-813, January 2020. A periodic homogenization model of the electrostatic equation is constructed for a comb drive with...

By Yassine Zniyed, Rémy Boyer, André L. F. de Almeida, and Gérard Favier SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A822-A848, January 2020. In the context of big data, high-order tensor decompositions have to face a new challenge in...

By Jun Hu and Limin Ma SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A797-A821, January 2020. Two asymptotically exact a posteriori error estimates are proposed for eigenvalues by the nonconforming ...

By J. Jacangelo, J. W. Banks, and T. Hagstrom SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page B447-B471, January 2020. Galerkin differences (GDs) were introduced in [J. W. Banks and T. Hagstrom, J. Comput. Phys., 313...

By Tom Gustafsson, Rolf Stenberg, and Juha Videman SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page B425-B446, January 2020. We show quasi-optimality and a posteriori error estimates for the frictionless contact problem between two elastic...

By Andreas Hessenthaler, Ben S. Southworth, David Nordsletten, Oliver Röhrle, Robert D. Falgout, and Jacob B. Schroder SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A771-A796, January 2020. This paper presents a multilevel convergence framework for multigrid-reduction-in-time (MGRIT) as a generalization of previous two-grid...

By Qiuqi Li and Pingwen Zhang SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A723-A750, January 2020. In this paper, we consider a variable-separation (VS) method to solve the nonlinear partial differential equations...

By Giacomo Gigante, Giulia Sambataro, and Christian Vergara SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A751-A770, January 2020. In this work we consider the optimized Schwarz method designed for computational domains that feature spherical...

By Joackim Bernier, Fernando Casas, and Nicolas Crouseilles SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A666-A697, January 2020. In this work, a splitting strategy is introduced to approximate two-dimensional rotation motions. Unlike standard approaches...

By Felipe Lepe and David Mora SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A698-A722, January 2020. In this paper we introduce and analyze symmetric and nonsymmetric discontinuous Galerkin (DG) methods for the...

By Dongkun Zhang, Ling Guo, and George Em Karniadakis SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A639-A665, January 2020. One of the open problems in scientific computing is the long-time integration of nonlinear stochastic partial...

By Quan M. Bui, Daniel Osei-Kuffuor, Nicola Castelletto, and Joshua A. White SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page B379-B396, January 2020. Simulation of multiphase poromechanics involves solving a multiphysics problem in which multiphase flow and transport are...

By Carlos Martinez, Andrés Ávila, Francis Mairet, Leslie Meier, and David Jeison SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 772-791, January 2020. We build and analyze a mathematical model of a system for biogas upgrading: an absorption column...

By T. Reis SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page B397-B424, January 2020. We analytically solve the two-dimensional, nine-velocity, lattice Boltzmann model in planar channel flow and determine...

By Hendrik Ranocha, Mohammed Sayyari, Lisandro Dalcin, Matteo Parsani, and David I. Ketcheson SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A612-A638, January 2020. The framework of inner product norm preserving relaxation Runge--Kutta methods [D. I. Ketcheson, SIAM J. Numer....

By Iain Duff, Jonathan Hogg, and Florent Lopez SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page C23-C42, January 2020. The factorization of sparse symmetric indefinite systems is particularly challenging since pivoting is required to maintain...

By Ruihan Guo and Yan Xu SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page B353-B378, January 2020. In this paper, we propose a high order numerical scheme to simulate the binary fluid--surfactant system...

By Michael Zabarankin and Bogdan Grechuk SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 753-771, January 2020. In various fields of applied mathematics, e.g., electrostatics, heat conduction, fluid mechanics, elastostatics, etc., boundary-value problems...

By Justin Sirignano and Konstantinos Spiliopoulos SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 725-752, January 2020. Machine learning, and in particular neural network models, have revolutionized fields such as image, text, and...

By Tao Tang, Li-Lian Wang, Huifang Yuan, and Tao Zhou SIAM Journal on Scientific Computing, Volume 42, Issue 2, Page A585-A611, January 2020. Many PDEs involving fractional Laplacian are naturally set in unbounded domains with underlying solutions decaying...

By Mohit P. Dalwadi, Sarah L. Waters, Helen M. Byrne, and Ian J. Hewitt SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 657-689, January 2020. When cooling cells to preserve them during cryopreservation, cooling too quickly results in the formation of...

By Pasquale Ciarletta, Hui-Hui Dai, and Matteo Taffetani SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 690-705, January 2020. This work provides a mathematical understanding of the elastic fingering provoked by a large axial extension...

By Martin Hanke and Nikolas Porz SIAM Journal on Applied Mathematics, Volume 80, Issue 2, Page 706-724, January 2020. We analyze the solvability of a system of ordinary differential equations modeling a warm cloud. A...

By Giulia Piacentini, Paola Goatin, and Antonella Ferrara SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 639-656, January 2020. We consider a model describing the presence of a platoon of vehicles moving in the traffic...

By Francesca Boso and Daniel M. Tartakovsky SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A559-A583, January 2020. Nonlinear hyperbolic balance laws with uncertain (random) initial data are ubiquitous in a plethora of transport...

By Olivier Zahm, Paul G. Constantine, Clémentine Prieur, and Youssef M. Marzouk SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A534-A558, January 2020. Multivariate functions encountered in high-dimensional uncertainty quantification problems often vary most strongly along a few dominant...

By Philip S. Chodrow and Peter J. Mucha SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 620-638, January 2020. Adaptive voter models (AVMs) are simple mechanistic systems that model the emergence of mesoscopic structure from...

By Camille Carvalho, Shilpa Khatri, and Arnold D. Kim SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A504-A533, January 2020. When using boundary integral equation methods to solve a boundary value problem, the evaluation of the...

By Xiang Li, Qiang Du, and Xiao-Ping Wang SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 572-598, January 2020. In this paper, we study a phase-field model for the dynamics of a solid particle in...

By Andrew M. Stuart and Marie-Therese Wolfram SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 599-619, January 2020. Discrete optimal transportation problems arise in various contexts in engineering, the sciences, and the social sciences....

By Mostafa Fazly, Mark Lewis, and Hao Wang SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 521-542, January 2020. We study a hybrid impulsive reaction-advection-diffusion model given by a reaction-advection-diffusion equation composed with a discrete-time...

By Takeshi Fukaya, Ramaseshan Kannan, Yuji Nakatsukasa, Yusaku Yamamoto, and Yuka Yanagisawa SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A477-A503, January 2020. The Cholesky QR algorithm is an efficient communication-minimizing algorithm for computing the QR factorization of a...

By Tingting Zhang, Geuk Young Jang, Tong In Oh, Kyung Woon Jeung, Hun Wi, and Eung Je Woo SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 499-520, January 2020. In electrical impedance tomography (EIT), multiple electrodes are attached around an imaging domain such as the...

By Alberto Gandolfi, Mimmo Iannelli, and Gabriela Marinoschi SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 543-571, January 2020. An age-structured model for the cell populations of the epidermis basal layer is proposed, with the...

By Guoqiang Wang, Xinyuan Wei, Bo Yu, and Lijun Xu SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A395-A423, January 2020. In this paper, an efficient and robust algorithm framework is presented for large-scale sparse least squares...

By I.-G. Farcaş, J. Latz, E. Ullmann, T. Neckel, and H.-J. Bungartz SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A424-A451, January 2020. Deterministic interpolation and quadrature methods are often unsuitable to address Bayesian inverse problems depending on computationally...

By Martin Bourne, Joab Winkler, and Yi Su SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A452-A476, January 2020. This paper describes the algorithms of Musser and Gauss for the computation of multiple roots...

By B. Endtmayer, U. Langer, and T. Wick SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A371-A394, January 2020. In this work, we derive two-sided a posteriori error estimates for the dual-weighted residual (DWR) method....

By Quan Zhao, Wei Jiang, and Weizhu Bao SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B327-B352, January 2020. We propose a parametric finite element method (PFEM) for efficiently solving the morphological evolution of solid-state...

By Alexander Cao, Benjamin Lindner, and Peter J. Thomas SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 422-447, January 2020. Stochastic oscillations are ubiquitous in many systems. For deterministic systems, the oscillator's phase has been widely...

By Adrian Muntean and Christos Nikolopoulos SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 448-475, January 2020. We derive an upscaled model describing the aggregation and deposition of colloidal particles within a...

By Kurt A. O'Hearn, Abdullah Alperen, and Hasan Metin Aktulga SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page C1-C22, January 2020. Including atom polarizability in molecular dynamics (MD) simulations is important for high-fidelity simulations. Linear solvers for...

By Gissell Estrada-Rodriguez and Heiko Gimperlein SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 476-498, January 2020. Lévy robotic systems combine superdiffusive random movement with emergent collective behavior from local communication and alignment...

By Pritpal Matharu and Bartosz Protas SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B250-B272, January 2020. In this work we introduce a computational framework for determining optimal closures of the eddy-viscosity type...

By Verónica Anaya, Zoa de Wijn, Bryan Gómez-Vargas, David Mora, and Ricardo Ruiz-Baier SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B225-B249, January 2020. In this paper we introduce a new formulation for the stationary poroelasticity equations written using the...

By Zhengdao Chen, Baranidharan Raman, and Ari Stern SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B273-B298, January 2020. Motivated by the Hodgkin--Huxley model of neuronal dynamics, we study explicit numerical integrators for “conditionally linear”...

By Torsten Keßler, Sergej Rjasanow, and Steffen Weißer SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B299-B326, January 2020. This paper presents a grid-free simulation algorithm for the fully three-dimensional Vlasov--Poisson system for collisionless electron...

By Volker H. Schulz SIAM Review, Volume 62, Issue 1, Page 283-297, January 2020. The frame for the Book Reviews section this time is formed by the books of two very well known...

By The Editors SIAM Review, Volume 62, Issue 1, Page 197-197, January 2020. The SIGEST article in this issue, “Asymptotically Compatible Schemes for Robust Discretization of Parametrized Problems with Applications to Nonlocal...

By Misha E. Kilmer SIAM Review, Volume 62, Issue 1, Page 131-131, January 2020. Tensors, or multiway arrays, are often used for storage of high-dimensional data. In order to have compression, completion,...

By J. M. Sanz-Serna SIAM Review, Volume 62, Issue 1, Page 1-1, January 2020. Bernard Brogliato and Aneel Tanwani are the authors of “Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness,...

By Darinka Dentcheva SIAM Review, Volume 62, Issue 1, Page 229-230, January 2020. The Education section of SIAM Review presents three papers in this issue. In the first paper Robert M. Corless...

By Hanwen Cui and Weiqing Ren SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 402-421, January 2020. We consider a conductive droplet sitting on a dielectric substrate which is connected to an electrical...

By Victor Isakov, Shuai Lu, and Boxi Xu SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 338-358, January 2020. We investigate recovery of the (Schrödinger) potential function from many boundary measurements at a large wavenumber....

By Thomas Hillen and Andreas Buttenschön SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 382-401, January 2020. In 2006 Armstrong, Painter, and Sherratt formulated a nonlocal differential equation model for cell-cell adhesion. For...

By Yongcheng Zhou SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 359-381, January 2020. Morphological dynamics of bilayer membrane is intrinsically coupled to the translational and orientational localization of membrane...

By Xiaochuan Tian and Qiang Du SIAM Review, Volume 62, Issue 1, Page 199-227, January 2020. Many problems in nature, being characterized by a parameter, are of interest both with a fixed parameter value...

By Bernard Brogliato and Aneel Tanwani SIAM Review, Volume 62, Issue 1, Page 3-129, January 2020. This survey article addresses the class of continuous-time systems where a system modeled by ordinary differential equations is...

By David Hong, Tamara G. Kolda, and Jed A. Duersch SIAM Review, Volume 62, Issue 1, Page 133-163, January 2020. Tensor decomposition is a fundamental unsupervised machine learning method in data science, with applications including network analysis and sensor...

By Tracy L. Stepien, Eric J. Kostelich, and Yang Kuang SIAM Review, Volume 62, Issue 1, Page 244-263, January 2020. Most undergraduates have limited experience with mathematical modeling. In an effort to respond to various initiatives, such as the...

By Antônio Francisco Neto SIAM Review, Volume 62, Issue 1, Page 264-280, January 2020. In this work we introduce a new operator based approach to matrix analysis. Our main technical tool comprises an...

By Nawaf Bou-Rabee and Miranda C. Holmes-Cerfon SIAM Review, Volume 62, Issue 1, Page 164-195, January 2020. Sticky Brownian motion is the simplest example of a diffusion process that can spend finite time both in the...

By Robert M. Corless and Leili Rafiee Sevyeri SIAM Review, Volume 62, Issue 1, Page 231-243, January 2020. We look at two classical examples in the theory of numerical analysis, namely, the Runge example for interpolation and...

By Thomas Ludescher, Sven Gross, and Arnold Reusken SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A318-A342, January 2020. We consider discrete Poisson interface problems resulting from linear unfitted finite elements, also called cut finite...

By Rémi Abgrall, Konstantin Lipnikov, Nathaniel Morgan, and Svetlana Tokareva SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A343-A370, January 2020. We present the second-order multidimensional staggered grid hydrodynamics residual distribution (SGH RD) scheme for Lagrangian hydrodynamics....

By Liu Yang, Dongkun Zhang, and George Em Karniadakis SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A292-A317, January 2020. We developed a new class of physics-informed generative adversarial networks (PI-GANs) to solve forward, inverse, and...

By Ernest K. Ryu, Seyoon Ko, and Joong-Ho Won SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B185-B206, January 2020. Many imaging problems, such as total variation reconstruction of X-ray computed tomography (CT) and positron-emission tomography...

By Habib Ammari, Oscar Bruno, Kthim Imeri, and Nilima Nigam SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B207-B224, January 2020. In this paper, we present a new and efficient approach for optimizing the transmission signal between...

By Paul C. Bressloff, Sean D. Lawley, and Patrick Murphy SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 312-337, January 2020. We analyze the diffusion equation in a bounded interval with a stochastically gated interior barrier at...

By Christopher J. Lustri, Christopher C. Green, and Scott W. McCue SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 289-311, January 2020. The well-studied selection problems involving Saffman--Taylor fingers or Taylor--Saffman bubbles in a Hele-Shaw channel are prototypical...

By Thierry Goudon and Laurent Monasse SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B157-B184, January 2020. We propose a well-balanced scheme for the modified Lifshitz--Slyozov equation, which incorporates a size-diffusion term....

By Miguel Hermanns and Santiago Ibán͂ez SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 262-288, January 2020. The thermal interaction between adjacent boreholes plays a fundamental role in the long-term thermal response of...

By Yuezheng Gong, Jia Zhao, and Qi Wang SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B135-B156, January 2020. We present a systematic approach to developing arbitrarily high-order, unconditionally energy stable numerical schemes for thermodynamically...

By Ahmad Ahmad Ali and Michael Hinze SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A271-A291, January 2020. We consider a class of parameter dependent optimal control problems of elliptic PDEs with constraints of...

By Jose A. Carrillo, Xinfu Chen, Qi Wang, Zhian Wang, and Lu Zhang SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 232-261, January 2020. We show that the Keller--Segel model in one dimension with Neumann boundary conditions and quadratic cellular...

By Gheorghe Craciun, Jiaxin Jin, and Polly Y. Yu SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 183-205, January 2020. Very often, models in biology, chemistry, physics, and engineering are systems of polynomial or power-law ordinary...

By Shui-nee Chow, Wuchen Li, Jun Lu, and Haomin Zhou SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 142-159, January 2020. We propose a new dynamical model, inspired by optimal transport theory and Fisher information, for finite...

By Martin Burger, Patricia Friele, and Jan-Frederik Pietschmann SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 160-182, January 2020. We investigate a recently proposed cross-diffusion system modeling the growth of gliobastoma taking into account size...

By Elizabeth Carlson, Joshua Hudson, and Adam Larios SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A250-A270, January 2020. We study a continuous data assimilation algorithm proposed by Azouani, Olson, and Titi (AOT) in the...

By Qian Huang, Shuiqing Li, and Wen-An Yong SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 206-231, January 2020. In this paper, we give a systematic stability analysis of the quadrature-based moment method (QBMM) for...

By Xiu Yang, Xueyu Zhu, and Jing Li SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A220-A249, January 2020. In this work, we propose a framework that combines approximation-theory-based multifidelity method and Gaussian-process-regression-based multifidelity method...

By Zhicheng Hu, Zhenning Cai, and Yanli Wang SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B105-B134, January 2020. We propose a Hermite spectral method for the spatially inhomogeneous Boltzmann equation. For the inverse-power-law model,...

By Sophie M. Moufawad SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A187-A219, January 2020. Recently, enlarged Krylov subspace methods, which consist of enlarging the Krylov subspace by a maximum of...

By Alexandra Bünger, Sergey Dolgov, and Martin Stoll SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A140-A161, January 2020. Isogeometric analysis (IgA) has become one of the most popular methods for the discretization of PDEs,...

By Xin Xing and Edmond Chow SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A162-A186, January 2020. The continuous fast multipole method (CFMM) is well known for its asymptotically linear complexity for constructing...

By Annalisa Buffa, Jacopo Corno, Carlo de Falco, Sebastian Schöps, and Rafael Vázquez Hernández SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B80-B104, January 2020. This paper discusses and analyzes two domain decomposition approaches for electromagnetic problems that allow the combination...

By Adrien Laurent and Gilles Vilmart SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A115-A139, January 2020. We introduce a new methodology based on the multirevolution idea for constructing integrators for stochastic differential...

By Pablo V. Negrón-Marrero and Jeyabal Sivaloganathan SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 119-141, January 2020. Let $\Omega\in\mathbb{R}^n$, $n=2,3$, be the region occupied by a hyperelastic body in its reference configuration. Let...

By Anna Ghazaryan, Stephane Lafortune, and Vahagn Manukian SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 95-118, January 2020. We consider a model that describes a flow of a thin liquid film modified by insoluble...

By Adam A. Yorkston, Mark G. Blyth, and Emilian I. Părău SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 71-94, January 2020. The deformation and stability of a two-dimensional inextensible elastic cell in an inviscid uniform stream are...

By Tommaso Buvoli SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A1-A27, January 2020. This paper introduces a new class of exponential integrators based on spectral deferred correction. These...

By Yunzhang Li, Chi-Wang Shu, and Shanjian Tang SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A54-A86, January 2020. In this paper we present a discontinuous Galerkin (DG) method to approximate stochastic conservation laws, which...

By Jisheng Kou, Shuyu Sun, and Xiuhua Wang SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B30-B56, January 2020. The Peng--Robinson equation of state (PR-EoS) has become one of the most extensively applied ...

By Michael Wathen and Chen Greif SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B57-B79, January 2020. We introduce a new approximate inverse preconditioner for a mixed finite element discretization of an incompressible...

By Jana de Wiljes, Sahani Pathiraja, and Sebastian Reich SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A87-A114, January 2020. Several numerical tools designed to overcome the challenges of smoothing in a nonlinear and non-Gaussian setting...

By Alexander Brune and Michal Kočvara SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page A28-A53, January 2020. One of the challenges encountered in optimization of mechanical structures, in particular in what is known...

By Ehud Yariv and Darren Crowdy SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 1-19, January 2020. A common form of superhydrophobic surface is made out of a periodically grooved solid substrate, wherein...

By Roberto Camassa, Gregorio Falqui, Giovanni Ortenzi, Marco Pedroni, and Giuseppe Pitton SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 44-70, January 2020. The classical dam-break problem for the shallow water system with a dry/vacuum downstream state is revisited...

By Henrik Garde and Nuutti Hyvönen SIAM Journal on Applied Mathematics, Volume 80, Issue 1, Page 20-43, January 2020. The inverse problem of electrical impedance tomography is severely ill-posed. In particular, the resolution of images...

By Jianfeng Lu and Zhe Wang SIAM Journal on Scientific Computing, Volume 42, Issue 1, Page B1-B29, January 2020. In this paper, we propose a general analysis framework for inexact power iteration, which can be...

Update 7/14/20: Today, the Trump Administration rescinded these proposed rules on foreign students studying online, returning to the previous status quo. Thank you to all of the SIAM members who ...

We may not be able to meet in Toronto for this year’s Joint SIAM/CAIMS Annual Meeting (AN20) , but that doesn’t mean we can’t hold the meeting! SIAM and CAIMS are pivoting to virtual with a ...

It's National Volunteer Week! This occasion is an opportunity to celebrate the dedicated individuals who offer their time in exchange for nothing more than making SIAM (and the world) a better ...

Mathematics and statistics play a vital part in everyday life. Mathematical and statistical techniques are used to help solve real-world problems, focusing on topics such as disease spread, ...

Last updated Tuesday, July 21, 2020
SIAM leadership and senior staff have been closely monitoring the outbreak of the SARS-CoV-2 virus and the associated disease COVID-19. We are deeply ...

This prize was created in 2013 to emphasize George Pólya’s legacy of communicating mathematics effectively. It joins two long-standing Pólya prizes SIAM has awarded in combinatorics and other fields beginning in 1969.

Established in 1998 in memory of Ralph E. Kleinman, the prize recognizes contributions that bridge the gap between high-level mathematics and engineering problems. The award is based on the quality and impact of the mathematics.

The Pioneer Prize is awarded every four years at the International Council for Industrial and Applied Mathematics (ICIAM) Congress to one individual for pioneering work introducing applied mathematical methods and scientific computing techniques to an industrial problem area or a new scientific field of applications. Nominations can be submitted via the ICIAM website.

The prize was established in 1999 in memory of Julian D. Cole and his work in mathematical applications to aerodynamics. It is awarded for the application of mathematical methods or the mathematical solution of a challenging problem in engineering or the physical or biological sciences.

Through the generosity and inspiration of Gerald and Judith Porter, the Mathematical Association of America (MAA), American Mathematical Society (AMS), and SIAM offer this annual lecture at the Joint Mathematics Meetings. The lecture, first awarded in 2010, is given on a mathematical topic accessible to the broader community.

Named in honor of I. E. Block, a co-founder and the first managing director of SIAM, this lecture is open to the public at the SIAM Annual Meeting. It is intended to encourage public appreciation of applied mathematics and computational science by reaching out to the local community.

Established in 1959, the prize honors John von Neumann, a founder of modern computing. The prize is awarded annually for distinguished contributions to applied mathematics and for the effective communication of these ideas to the community.

The JPBM Communications Award is given annually to reward and encourage communicators who, on a sustained basis, bring mathematical ideas and information to non-mathematical audiences. The prize may be awarded in two categories: For Public Outreach and For Expository and Popular Books. Nominations can be submitted via the AMS website.

The prize was established in 1986 in memory of Richard C. DiPrima, who served SIAM for many years and in 1979–1980 as SIAM President. It aims to recognize an early career researcher in applied mathematics and is based on the doctoral dissertation.

The prize recognizes students for outstanding solutions to real world math problems. It is awarded to two of the teams judged "Outstanding" in the Mathematical Contest in Modeling (MCM) administered annually by the Consortium for Mathematics and Its Applications (COMAP). Registration is accepted via the COMAP website.

The SIAM Outstanding Paper Prizes bring attention to papers published in SIAM journals. Three awards are made each year to the authors of papers deemed by SIAM journal editors-in-chief worthy of particular attention.

The prize, established in 1985 and originally intended to be awarded periodically, is now awarded annually for contributions to the advancement of applied mathematics on the national or international level.

The SIAM Student Paper Prize is awarded annually to the student author(s) of the most outstanding paper(s) accepted by SIAM journals within the three years preceding the nomination deadline. Starting with the 2018 award, the focus of the prize is to recognize outstanding scholarship by students in SIAM journals.

The purpose of this activity group is to bring together mathematicians, engineers, and scientists interested in the application of analysis and computation to problems in materials science. This activity group serves as a meeting point for mathematicians, engineers, and scientists from all areas of computational and materials science, thus fostering cross-fertilization between fields, and from diverse venues such as academia, industry, and the national laboratories.

SIAM Journal on Scientific Computing (SISC) contains research articles on numerical methods and techniques for scientific computation. Papers in this journal address computational issues relevant to the solution of scientific or engineering problems and include computational results demonstrating the effectiveness of the proposed techniques.

SIAM Journal on Applied Mathematics (SIAP) is an interdisciplinary journal containing research articles that treat scientific problems using methods that are of mathematical interest, focusing on the subjects of physical, engineering, financial, and life sciences. SIAP is the founding journal of SIAM, with the first volume of the journal published in 1953. The foundations and evolution of applied mathematics can be found in this journal.

Multiscale Modeling & Simulation
SIAM J. on Applied Algebra and Geometry
SIAM J. on Applied Dynamical Systems
SIAM J. on Applied Mathematics
SIAM J. on Computing
SIAM J. on Control and Optimization
SIAM J. on Discrete Mathematics
SIAM J. on Financial Mathematics
SIAM J. on Imaging Sciences
SIAM J. on Mathematical Analysis
SIAM J. on Matrix Analysis and Applications
SIAM J. on Numerical Analysis
SIAM J. on Optimization
SIAM J. on Scientific Computing
SIAM/ASA J. on Uncertainty Quantification
SIAM Review
Theory of Probability & Its Applications

General Opportunities

We know it can be overwhelming to keep track of career opportunities that may be relevant to you as a member of the SIAM community. So, we’ve compiled lists of some of our favorite fellowship, internship, and research opportunities. Check ‘em out!

Fellowships

Looking for financial support to further your research? Fellowships often provide funding plus experiential learning opportunities to young researchers. Learn more about fellowship opportunities.

Internships allow you to network and forge connections for future job possibilities, while also exploring possible areas of interest. Look at this list of companies who offer valuable opportunities.

Our community is founded on igniting groundbreaking developments in applied math and computational science. Take a deeper dive into your area of study with one of these opportunities.