Wolfgang Hackbusch 
The Concept of Stability in Numerical Mathematics [PDF ebook] 

Dukung

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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Daftar Isi

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.

Tentang Penulis

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’.

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Bahasa Inggris ● Format PDF ● Halaman 188 ● ISBN 9783642393860 ● Ukuran file 2.5 MB ● Penerbit Springer Berlin ● Kota Heidelberg ● Negara DE ● Diterbitkan 2014 ● Diunduh 24 bulan ● Mata uang EUR ● ID 3162897 ● Perlindungan salinan DRM sosial

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