Elliptic Differential Equations

Theory and Numerical Treatment

Häftad, Engelska, 2018

AvWolfgang Hackbusch

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This book simultaneously presents the theory and the numerical treatment of elliptic boundary value problems, since an understanding of the theory is necessary for the numerical analysis of the discretisation.

Produktinformation

Utgivningsdatum2018-05-12
Mått155 x 235 x 26 mm
Vikt709 g
FormatHäftad
SpråkEngelska
SerieSpringer Series in Computational Mathematics
Antal sidor455
Upplaga2
FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN9783662572177

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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 member of the editorial board of Springer' s book series "Advances in Numerical Mathematics", "The International Cryogenics Monograph Series" and "Springer Series of Computational Mathematics".

1 Partial Differential Equations and Their Classification Into Types.- 2 The Potential Equation.- 3 The Poisson Equation.- 4 Difference Methods for the Poisson Equation.- 5 General Boundary Value Problems.- 6 Tools from Functional Analysis.- 7 Variational Formulation.- 8 The Method of Finite Elements.- 9 Regularity.- 10 Special Differential Equations.- 11 Eigenvalue Problems.- 12 Stokes Equations.