Math 712001 Numerical Methods II
Introduction

This is the sequel to math 614 Numerical Methods I. The course will
cover basic aspects of various numerical techniques (derivation,
analysis, and implementation) for solving initial value
problems, boundary value problems, initialboundary value
problems of partial differential
equations, including finite difference method, finite element
method, spectral method, and boundary integral equation method.
Prerequisites:

Numerical Methods I, PDE, and Programming Experience
References:

Lloyd
N. Trefethen,
"
Finite Difference and Spectral Methods for Ordinary and Partial
Differential Equations
" .

Arieh Iserles, "A First Course in the Numerical Analysis of Differential Equations".

J. W. Thomas, "Numerical Partial Differential Equations  Finite
Difference Methods".

John C. Strikwerda, "Finite Difference Schemes and Partial
Differential Equations".
 K. W. Morton and D. F. Mayers, "Numerical Solution of Partial
Differential Equations".
 Robert D. Richtmyer and K. W. Morton, "Difference Methods for
InitialValue Problems".
Suggested Readings:
Web Resources

Codes

GAMS (Guide to Available
Mathematical Software)

Books
Homework Assignments