Solving Nonlinear Equations with Newton's Method

MATLAB.tar.gz a tarball of the whole thing .....***
The solvers for systems of equations:
- nsold.m Newton's method, direct factorization of Jacobians
- nsoli.m Newton-Krylov methods, no matrix storage
- brsola.m Broyden's method, no matrix storage
Chapter 1: Introduction
- Solvers: newtsol.m , secant.m , chordsol.m
- Examples:
  - tan(x) - x = 0: tandemo.m , ftan.m
  - atan(x) = 0: ataneg.m
Chapter 2: Finding the Newton Step with Gaussian Elimination using nsold.m
- atan(x) = 0: fatan.m , atandemo.m
- Simple 2-D problem: simple.m , simpdemo.m
- H-equation: heq.m , heqdemo.m .
- Two-point boundary value problem: bvpsys.m , bvp2demo.m .
- Time dependent initial-boundary value problem: timedep.m , ftime.m
Chapter 3: Newton-Krylov Methods using nsoli.m
- H-equation: heq.m , heqkdemo.m .
- OZ-equations: oz.m , ozdemo.m , ozmovie.m .
- PDE Examples:
  Left precondtioning: pdeleft.m , pdeldemo.m
  Right precondtioning: pderight.m , pderdemo.m
  Time dependent PDE in 2D: pdetime.m , pdetimedemo.m .
- Poisson Solver Preconditioner: fish2d.m
- Matrix-free derivatives: dxmf.m , dymf.m , lapmf.m
Chapter 4: Broyden's Method using brsola.m
- H-equation: heq.m , heqbdemo.m . heqmovie.m .
- PDE Examples; Compare Newton-Krylov to Broyden's method:
  Left precondtioning: pdeleft.m , pdebrl.m
  Right precondtioning: pderight.m , pdebrr.m
- Poisson Solver Preconditioner: fish2d.m
- Matrix-free derivatives: dxmf.m , dymf.m , lapmf.m

last changed 1/31/06 dar