Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems

Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems
ISBN-10
0898717833
ISBN-13
9780898717839
Category
Mathematics
Pages
356
Language
English
Published
2007-01-01
Publisher
SIAM
Author
Randall J. LeVeque

Description

This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and PDE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples.

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