Название: Elliptic Differential Equations: Theory and Numerical Treatment, 2nd edition
Автор: Wolfgang Hackbusch
Издательство: Springer
Год: 2017
Формат: True PDF
Страниц: 464
Размер: 3.2 Mb
Язык: English
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. It first discusses the Laplace equation and its finite difference discretisation before addressing the general linear differential equation of second order. The variational formulation together with the necessary background from functional analysis provides the basis for the Galerkin and finite-element methods, which are explored in detail. A more advanced chapter leads the reader to the theory of regularity. Individual chapters are devoted to singularly perturbed as well as to elliptic eigenvalue problems.
Автор: Wolfgang Hackbusch
Издательство: Springer
Год: 2017
Формат: True PDF
Страниц: 464
Размер: 3.2 Mb
Язык: English
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. It first discusses the Laplace equation and its finite difference discretisation before addressing the general linear differential equation of second order. The variational formulation together with the necessary background from functional analysis provides the basis for the Galerkin and finite-element methods, which are explored in detail. A more advanced chapter leads the reader to the theory of regularity. Individual chapters are devoted to singularly perturbed as well as to elliptic eigenvalue problems.