Numerical Analysis of Partial Differential Equations Using Maple and MATLAB

Martin J. Gander, Felix Kwok, Wing Hong Felix Kwok

Research output: Book/ReportBook or reportpeer-review

Abstract

This book provides an elementary yet comprehensive introduction to the numerical solution of partial differential equations (PDEs). Used to model important phenomena, such as the heating of apartments and the behavior of electromagnetic waves, these equations have applications in engineering and the life sciences, and most can only be solved approximately using computers.

Numerical Analysis of Partial Differential Equations Using Maple and MATLAB provides detailed descriptions of the four major classes of discretization methods for PDEs (finite difference method, finite volume method, spectral method, and finite element method) and runnable MATLAB® code for each of the discretization methods and exercises. It also gives self-contained convergence proofs for each method using the tools and techniques required for the general convergence analysis but adapted to the simplest setting to keep the presentation clear and complete.
Original languageEnglish
PublisherSociety for Industrial and Applied Mathematics
Number of pages151
ISBN (Electronic)9781611975314
ISBN (Print)9781611975307
DOIs
Publication statusPublished - 2018

Publication series

NameFundamentals of Algorithms

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