Computer Solution of Large Linear Systems

Gerard Meurant (Autor)

Buch | Hardcover

776 Seiten

1999
North-Holland (Verlag)
978-0-444-50169-1 (ISBN)

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A guide to numerical methods for solving large sparse linear systems of equations, in particular those arising from the discretization of partial differential equations. This text covers both direct and iterative methods, including Gaussian elimination and alternating directions algorithms.

This book deals with numerical methods for solving large sparse linear systems of equations, particularly those arising from the discretization of partial differential equations. It covers both direct and iterative methods. Direct methods which are considered are variants of Gaussian elimination and fast solvers for separable partial differential equations in rectangular domains. The book reviews the classical iterative methods like Jacobi, Gauss-Seidel and alternating directions algorithms. A particular emphasis is put on the conjugate gradient as well as conjugate gradient -like methods for non symmetric problems. Most efficient preconditioners used to speed up convergence are studied. A chapter is devoted to the multigrid method and the book ends with domain decomposition algorithms that are well suited for solving linear systems on parallel computers.

Introductory MaterialGaussian elimination for general linear systemsGaussian elimination for sparse linear systemsFast solvers for separable PDEsClassical iterative methodsThe conjugate gradient and related methodsKrylov methods for non--symmetric systemsPreconditioningMultigrid methods

Erscheint lt. Verlag	16.6.1999
Reihe/Serie	Studies in Mathematics & Its Applications
Sprache	englisch
Maße	151 x 229 mm
Gewicht	1350 g
Themenwelt	Informatik ► Theorie / Studium ► Algorithmen
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-444-50169-X / 044450169X
ISBN-13	978-0-444-50169-1 / 9780444501691
Zustand	Neuware