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The Concept of Stability in Numerical Mathematics

The Concept of Stability in Numerical Mathematics

Wolfgang Hackbusch

65,33 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2014
Materia
Cálculo y análisis matemático
ISBN:
9783642393853
65,33 €
IVA incluido
Disponible

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Sobre IBD

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.

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