J.W. Thomas

Numerical Partial Differential Equations: Finite Difference Methods

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Texts in Applied Mathematics 22
• Verlag: Springer / Springer New York / Springer, Berlin
• Artikelnr. des Verlages: 978-1-4419-3105-4
• Softcover reprint of hardcover 1st ed. 1995
• Seitenzahl: 460
• Erscheinungstermin: 1. Dezember 2010
• Englisch
• Abmessung: 235mm x 155mm x 25mm
• Gewicht: 691g
• ISBN-13: 9781441931054
• ISBN-10: 1441931058
• Artikelnr.: 32222923

Autorenporträt

What makes Thomas' book stand out from the competition is his book is more computational. Thus, once done with both volumes, the reader 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 the student to utilize it as much as possible. The use of graphics for both illustration and analysis is emphasized and algebraic manipulators are used when convenient. Prerequisites suggested but not required for using this book in a course include at least one semester of partial differential equations and some programming capability. This book will also be a strong long-term reference book.

Inhaltsangabe

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

Rezensionen

"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