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The Concept of Stability in Numerical Mathematics: 45 (Springer Series in Computational Mathematics, 45) - Tapa dura

Libro 22 de 33: Springer Computational Mathematics

Wolfgang Hackbusch

 
9783642393853: The Concept of Stability in Numerical Mathematics: 45 (Springer Series in Computational Mathematics, 45)
Tapa dura
ISBN 10: 3642393853 ISBN 13: 9783642393853
Editorial: Springer, 2014

Sinopsis

In this book, the author compares the meaning of stability in different subfields of numerical mathematics.

Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerical treatment of ordinary differential equations (ODEs). While one-step methods for ODEs are always stable, this is not the case for hyperbolic or parabolic differential equations, which are investigated next. The final chapters discuss stability for discretisations of elliptic differential equations and integral equations.

In comparison among the subfields we discuss the practical importance of stability and the possible conflict between higher consistency order and stability.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

The author is a very well-known author of Springer, working in the field of numerical mathematics for partial differential equations and integral equations. He has published numerous books in the SSCM series, e.g., about the multi-grid method, about the numerical analysis of elliptic pdes, about iterative solution of large systems of equation, and a book in German about the technique of hierarchical matrices. Hackbusch is also in the editorial board of Springer's book series "Advances in Numerical Mathematics" and "The International Cryogenics Monograph Series".

De la contraportada

In this book, the author compares the meaning of stability in different subfields of numerical mathematics.

Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerical treatment of ordinary differential equations (ODEs). While one-step methods for ODEs are always stable, this is not the case for hyperbolic or parabolic differential equations, which are investigated next. The final chapters discuss stability for discretisations of elliptic differential equations and integral equations.

In comparison among the subfields we discuss the practical importance of stability and the possible conflict between higher consistency order and stability.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2014
Idioma
Inglés
ISBN 10 
3642393853
ISBN 13 
9783642393853
Encuadernación
Tapa dura
Número de páginas
206
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

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