### Tuesday, June 2

## IM3

Selected Numerical Algorithms for Problems of Wave Propagation

10:15 AM-12:15 PM

*Room 246*

This minisymposium is devoted to novel numerical algorithms selected on the basis of their impact on problems of wave propagation. The unifying theme of these algorithms is that they have their beginnings in harmonic analysis, produce results with finite but arbitrary accuracy, and are robust. The approaches and numerical techniques used in these problems are bound to have even wider impact.

Speakers will discuss fast application of the exact nonreflecting boundary conditions for the wave equation and Maxwell's equations; a stable method for the inverse scattering problem for the Helmholtz equation; a multilevel fast multipole algorithm, and related algorithms to solve for the scattering and radiation solution of electromagnetics problem involving complex structures; and applications of unequally spaced fast fourier transforms to problems of wave propagation.

**Organizer: Gregory Beylkin**

*University of Colorado, Boulder*
**10:15 Exact Nonreflecting Boundary Conditions for Time-Domain Acoustic and Electromagnetic Wave Propagation**
*Bradley Alpert*, National Institute of Standards and Technology; Leslie Greengard, Courant Institute of Mathematical Sciences, New York University; and Thomas M. Hagstrom, University of New Mexico, Albuquerque
**10:45 Recursive Linearization for Inverse Scattering**
- Yu Chen, Courant Institute of Mathematical Sciences, New York University
**11:15 Fast Electromagnetic Scattering Algorithm Using Multilevel and Hybrid Techniques**
*Weng Cho Chew*, V. Jandyala, J. Jin, C. C. Lu, E. Michielssen, B. Shankar, X. Sheng, J. M. Song, and J. S. Zhao, University of Illinois, Urbana
**11:45 On Applications of Unequally Spaced Fast Fourier Transforms**
- Gregory Beylkin, Organizer

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*MMD, 4/20/98*