[PDF] Finite Difference Computing With Pdes eBook

Author : Hans Petter Langtangen
Publisher : Springer
Page : 522 pages
File Size : 31,46 MB
Release : 2017-06-21
Category : 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.

Author : Randall J. LeVeque
Publisher : SIAM
Page : 356 pages
File Size : 10,47 MB
Release : 2007-01-01
Category : Mathematics
ISBN : 9780898717839

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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.

Author : J.W. Thomas
Publisher : Springer Science & Business Media
Page : 451 pages
File Size : 38,79 MB
Release : 2013-12-01
Category : Mathematics
ISBN : 1489972781

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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 variety of problems than those worked out in the competitors' books. The author stresses the use of technology throughout the text, allowing students to utilize it as much as possible.

Author : Claes Johnson
Publisher : Courier Corporation
Page : 290 pages
File Size : 46,3 MB
Release : 2012-05-23
Category : Mathematics
ISBN : 0486131599

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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 mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers numerous examples from a variety of science- and engineering-related specialties.This text encompasses all varieties of the basic linear partial differential equations, including elliptic, parabolic and hyperbolic problems, as well as stationary and time-dependent problems. Additional topics include finite element methods for integral equations, an introduction to nonlinear problems, and considerations of unique developments of finite element techniques related to parabolic problems, including methods for automatic time step control. The relevant mathematics are expressed in non-technical terms whenever possible, in the interests of keeping the treatment accessible to a majority of students.

Author : Hans Petter Langtangen
Publisher : Springer
Page : 210 pages
File Size : 21,46 MB
Release : 2016-06-10
Category : Computers
ISBN : 3319294393

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This text provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programming, verification, and visualization. The pedagogical strategy is to use one case study – an ordinary differential equation describing exponential decay processes – to illustrate fundamental concepts in mathematics and computer science. The book is easy to read and only requires a command of one-variable calculus and some very basic knowledge about computer programming. Contrary to similar texts on numerical methods and programming, this text has a much stronger focus on implementation and teaches testing and software engineering in particular.

Author : Hans Petter Langtangen
Publisher :
Page : 520 pages
File Size : 34,33 MB
Release : 2020-10-08
Category : Computers
ISBN : 9781013268502

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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. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.

Author : Hans Petter Langtangen
Publisher : Springer
Page : 610 pages
File Size : 45,71 MB
Release : 2017-06-14
Category : Computers
ISBN : 9783319554556

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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. This book is open access under a CC BY license.

Author : Zhilin Li
Publisher : Cambridge University Press
Page : 305 pages
File Size : 13,19 MB
Release : 2017-11-30
Category : Mathematics
ISBN : 1107163226

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A practical and concise guide to finite difference and finite element methods. Well-tested MATLAB® codes are available online.

Author : Andy Flair
Publisher :
Page : 0 pages
File Size : 20,34 MB
Release : 2022-09-27
Category :
ISBN : 9781639892037

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An equation that relates to one or more functions with its derivatives is called a differential equation. A partial differential equation (PDE) is a type of differential equation, in which the equation consists of unknown multi variables with their partial derivatives. This is a special case of an ordinary differential equation. There is a large amount of modern mathematical and scientific research on methods for numerically approximating solutions of particular PDEs using computers. These are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives. Finite difference computing is one of the most widely used methods for solving PDEs. This book outlines the processes and applications of finite difference computing with PDEs in detail. The topics included herein on finite difference computing with PDEs are of utmost significance and bound to provide incredible insights to readers. The book is appropriate for students seeking detailed information in this area as well as for experts.