Finite Difference Computing with PDEs

Finite Difference Computing with PDEs
Author: Hans Petter Langtangen
Publisher: Springer
Total Pages: 522
Release: 2017-06-21
Genre: Computers
ISBN: 3319554565

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This book is open access under a CC BY 4.0 license. This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology.


Finite Difference Computing with PDEs
Language: en
Pages: 522
Authors: Hans Petter Langtangen
Categories: Computers
Type: BOOK - Published: 2017-06-21 - Publisher: Springer

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This book is open access under a CC BY 4.0 license. This easy-to-read book introduces the basics of solving partial differential equations by means of finite di
Finite Difference Methods for Ordinary and Partial Differential Equations
Language: en
Pages: 356
Authors: Randall J. LeVeque
Categories: Mathematics
Type: BOOK - Published: 2007-01-01 - Publisher: SIAM

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This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the simil
Numerical Partial Differential Equations: Finite Difference Methods
Language: en
Pages: 451
Authors: J.W. Thomas
Categories: Mathematics
Type: BOOK - Published: 2013-12-01 - Publisher: Springer Science & Business Media

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What makes this book stand out from the competition is that it is more computational. Once done with both volumes, readers will have the tools to attack a wider
Numerical Solution of Partial Differential Equations by the Finite Element Method
Language: en
Pages: 290
Authors: Claes Johnson
Categories: Mathematics
Type: BOOK - Published: 2012-05-23 - Publisher: Courier Corporation

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An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mat
Finite Difference Computing with Exponential Decay Models
Language: en
Pages: 210
Authors: Hans Petter Langtangen
Categories: Computers
Type: BOOK - Published: 2016-06-10 - Publisher: Springer

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This text provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programming, verificat