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Numerical Partial Differential Equations: Finite Difference Methods de J W Thomas

Numerical Partial Differential Equations: Finite Difference Methods

Autor J W Thomas
en Limba Engleză Hardback – 11 sep 1995
This text will be divided into two books which cover the topic of numerical partial differential equations. Of the many different approaches to solving partial differential equations numerically, this book studies difference methods. Written for the beginning graduate student, this text offers a means of coming out of a course with a large number of methods which provide both theoretical knowledge and numerical experience. The reader will learn that numerical experimentation is a part of the subject of numerical solution of partial differential equations, and will be shown some uses and taught some techniques of numerical experimentation.
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Specificații

ISBN-13: 9780387979991
ISBN-10: 0387979999
Pagini: 437
Ilustrații: XX, 437 p.
Dimensiuni: 159 x 242 x 26 mm
Greutate: 0.8 kg
Ediția:1995. Corr. 2nd Printing 1998 edition
Editura: Springer
Locul publicării:New York, NY, United States

Public țintă

Graduate

Cuprins

Introduction to Finite Difference.- Some Theoretical Considerations.- Stability.- Parabolic Equations.- Hyperbolic Equations.- Systems of Partial Differential Equations.- Dispersion and Dissipation.- References.- Index.

Recenzii

"This important volume is the first part of a two-part textbook (the second part is entitled Conservation laws and elliptic equations). The text includes interesting homework problems that implement different aspects of most of the schemes discussed. The implementation aspect of this text includes a large amount of computing. Other useful aspects of computing included in this volume are symbolic computing and the use of graphics for analysis. Prerequisites suggested for using this book might include one semester of partial differential equations and some programming capability. This book will be a good reference text for students." -- MATHEMATICAL REVIEWS

Caracteristici

Aim of book is to provide users with a theoretical yet practical knowledge * Applications especially relevant for those in applied mathematics/engineering * Provides a large number of methods, giving the reader a solid numerical experience * Numerical experimentation effectively extends many of the methods * The author stresses the use of technology throughout, assisting the reader in utilizing it as much as possible