Numerical analysis of partial differential equations using Maple and MATLAB

By:

Gander, Martin J

Contributor(s):

Kwok, Felix [Co-author]

Series: Fundamentals of Algorithms; 12Publication details: Philadelphia: Society for Industrial and Applied Mathematics (SIAM), 2018.Description: ix, 153p.: col. ill. pbk.: 25cmISBN:

9781611975307

Subject(s):

DDC classification:

515.353028553 GAN

Summary: 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. https://epubs.siam.org/doi/book/10.1137/1.9781611975314

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Item type	Current library	Collection	Call number	Copy number	Status	Barcode
Books	IIT Gandhinagar	General	515.353028553 GAN (Browse shelf(Opens below))	1	Available	034417

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Previous	515.353 UEC Numerical continuation of bifurcation in nonlinear PDEs	515.353 VAS Partial differential equations: an accessible route through theory and applications	515.353 WLO Partial differential equations	515.353028553 GAN Numerical analysis of partial differential equations using Maple and MATLAB	515.3533 AMB Nonlinear analysis and semilinear elliptic problems	515.3533 CAO Singularly perturbed methods for nonlinear elliptic problems	515.3533 ESK Lectures on linear partial differential equations	Next

Includes Bibliographical References and Index

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.

https://epubs.siam.org/doi/book/10.1137/1.9781611975314

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