The concept of stability in numerical mathematics

Resource Information

The work The concept of stability in numerical mathematics represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

The concept of stability in numerical mathematics

Statement of responsibility

by Wolfgang Hackbusch

Creator

• Hackbusch, W., 1948-

Author

• Hackbusch, W., 1948-

Subject

• Numerical analysis
• Numerical analysis
• Numerical analysis
• Stability
• Stability
• Stability
• MATHEMATICS -- Numerical Analysis
• Mathematical Computing

Language

eng

Summary

Annotation

Member of

• Springer series in computational mathematics, 45

Cataloging source

N$T

Dewey number

518

Index

no index present

LC call number

QA297

Literary form

non fiction

Nature of contents

dictionaries

NLM call number

Online Book

Series statement

Springer series in computational mathematics

Series volume

45

Summary expansion

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