Time-Dependent Problems 2e

Bertil Gustafsson (u. a.)

ISBN 10: 0470900563 / ISBN 13: 9780470900567

Editore: Wiley, 2013

Time-Dependent Problems 2e | Bertil Gustafsson (u. a.) | Buch | Preface ixPreface to the First Edition xiPART I PROBLEMS WITH PERIODIC SOLUTIONS 11. Model Equations 31.1. Periodic Gridfunctions and Difference Operators 31.2. First-Order Wave Equation Convergence and Stability 101.3. Leap-Frog Scheme 201.4. Implicit M | Englisch | 2013 | Wiley | EAN 9780470900567 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu. Codice articolo 106049860

Riassunto:

Praise for the First Edition

". . . fills a considerable gap in the numerical analysis literature by providing a self-contained treatment . . . this is an important work written in a clear style . . . warmly recommended to any graduate student or researcher in the field of the numerical solution of partial differential equations."
&;SIAM Review

Time-Dependent Problems and Difference Methods, Second Edition continues to provide guidance for the analysis of difference methods for computing approximate solutions to partial differential equations for time-dependent problems. The book treats differential equations and difference methods with a parallel development, thus achieving a more useful analysis of numerical methods.

The Second Edition presents hyperbolic equations in great detail as well as new coverage on second-order systems of wave equations including acoustic waves, elastic waves, and Einstein equations. Compared to first-order hyperbolic systems, initial-boundary value problems for such systems contain new properties that must be taken into account when analyzing stability. Featuring the latest material in partial differential equations with new theorems, examples, and illustrations,Time-Dependent Problems and Difference Methods, Second Edition also includes:

• High order methods on staggered grids
• Extended treatment of Summation By Parts operators and their application to second-order derivatives
• Simplified presentation of certain parts and proofs

Time-Dependent Problems and Difference Methods, Second Edition is an ideal reference for physical scientists, engineers, numerical analysts, and mathematical modelers who use numerical experiments to test designs and to predict and investigate physical phenomena. The book is also excellent for graduate-level courses in applied mathematics and scientific computations.

Informazioni sull'autore:

BERTIL GUSTAFSSON, PhD, is Professor Emeritus in the Department of Information Technology at Uppsala University and is well known for his work in initial-boundary value problems.

HEINZ-OTTO KREISS, PhD, is Professor Emeritus in the Department of Mathematics at University of California, Los Angeles and is a renowned mathematician in the field of applied mathematics.

JOSEPH OLIGER, PhD, was Professor in the Department of Computer Science at Stanford University and was well known for his early research in numerical methods for partial differential equations.

Dati bibliografici

Titolo: Time-Dependent Problems 2e
Casa editrice: Wiley
Data di pubblicazione: 2013
Legatura: Buch
Condizione: Neu
Edizione: seconda edizione