The Concept of Stability in Numerical Mathematics

• Main Author: Hackbusch, Wolfgang (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014.
• Series: Springer Series in Computational Mathematics, 45
• Subjects: Mathematics.; Integral equations.; Partial differential equations.; Numerical analysis.; Numerical Analysis.; Partial Differential Equations.; Integral Equations.

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, whi...

Table of Contents:

• Preface
• Introduction
• Stability of Finite Algorithms
• Quadrature
• Interpolation
• Ordinary Differential Equations
• Instationary Partial Difference Equations
• Stability for Discretisations of Elliptic Problems
• Stability for Discretisations of Integral Equations
• Index.