Numerical Partial Differential Equations: Finite Difference Methods
Book
Lieferzeit: Print on Demand - Lieferbar innerhalb von 3-5 Werktagen I
ISBN-13:
9780387979991
Veröffentl:
1995
Einband:
Book
Erscheinungsdatum:
06.11.1998
Seiten:
460
Autor:
J. W. Thomas
Gewicht:
796 g
Format:
242x159x26 mm
Sprache:
Englisch
Beschreibung:
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.
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.
Introduction to Finite Difference.- Some Theoretical Considerations.- Stability.- Parabolic Equations.- Hyperbolic Equations.- Systems of Partial Differential Equations.- Dispersion and Dissipation.- References.- Index.