The problem of solving large, sparse, linear systems of algebraic equations is vital in scientific computing, even for applications originating from quite different fields. A Survey of Preconditioned Iterative Methods presents an up to date overview of iterative methods for numerical solution of such systems. Typically, the methods considered are well suited for the kind of systems arising from the discretization of partial differential equations. The focus of this presentation is on the family of Krylov subspace solvers, of which the Conjugate Gradient algorithm is a typical example. In addition to an introduction to the basic principles of such methods, a large number of specific algorithms for symmetric and nonsymmetric problems are discussed. When solving linear systems by iteration, a preconditioner is usually introduced in order to speed up convergence. In many cases, the selection of a proper preconditioner is crucial to the resulting computational performance. For this reason, this book pays special attention to different preconditioning strategies. Although aimed at a wide audience, the presentation assumes that the reader has basic knowledge of linear algebra, and to some extent, of partial differential equations. The comprehensive bibliography in this survey is provides an entry point to the enormous amount of published research in the field of iterative methods.
"Sinopsis" puede pertenecer a otra edición de este libro.
Are Magnus Bruaset
"Sobre este título" puede pertenecer a otra edición de este libro.
Librería: killarneybooks, Inagh, CLARE, Irlanda
Soft cover. Condición: Good. 1st Edition. Paperback, xii + 162 pages. Limited gentle wear, a faint number on the upper outer page edges. Interior is clean and bright with unmarked text, free of inscriptions and stamps, firmly bound. Straight spine. -- Solving large sparse linear systems from discretized partial differential equations requires efficient iterative methods; this book delivers a unified survey of preconditioned Krylov subspace techniques essential for researchers and practitioners in scientific computing. -- The text introduces iterative methods based on matrix splittings, covering classical techniques like Jacobi, Gauss-Seidel, and successive overrelaxation (SOR), as well as polynomial acceleration. It then develops the framework of Krylov subspace methods, deriving a generic algorithm that encompasses popular iterations such as the conjugate gradient (CG), GMRES, BICGSTAB, and QMR. Symmetric and nonsymmetric problems are addressed separately, with discussions on termination procedures and implementation efficiency. Preconditioning strategies form a central theme, including incomplete factorizations, approximate inverses, and polynomial preconditioners. The book also bridges algebraic tools with problem-oriented approaches like multigrid and domain decomposition, crucial for elliptic boundary value problems. -- This work offers a balanced blend of theoretical foundations, algorithmic details, and practical considerations, providing a durable framework for understanding solver performance. Its systematic treatment of preconditioning makes it an ideal resource for building robust simulation codes, calibrating models, and selecting optimal solution strategies for large-scale computations. It serves as both a concise learning guide and a conceptual reference for the mathematical underpinnings of modern iterative solvers. Nº de ref. del artículo: 012069
Cantidad disponible: 1 disponibles
Librería: Better World Books, Mishawaka, IN, Estados Unidos de America
Condición: Very Good. Pages intact with possible writing/highlighting. Binding strong with minor wear. Dust jackets/supplements may not be included. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good. Nº de ref. del artículo: 67631577-6
Cantidad disponible: 1 disponibles
Librería: Basi6 International, Irving, TX, Estados Unidos de America
Condición: Brand New. New. Delivery takes 25-30 days. Excellent Customer Service. Nº de ref. del artículo: POD-545648
Cantidad disponible: Más de 20 disponibles
Librería: -OnTimeBooks-, Phoenix, AZ, Estados Unidos de America
Condición: good. A copy that has been read, remains in good condition. All pages are intact, and the cover is intact. The spine and cover show signs of wear. Pages can include notes and highlighting and show signs of wear, and the copy can include "From the library of" labels or previous owner inscriptions. 100% GUARANTEE! Shipped with delivery confirmation, if you're not satisfied with purchase please return item! Ships via media mail. Nº de ref. del artículo: OTV.0582276543.G
Cantidad disponible: 1 disponibles
Librería: Buchpark, Trebbin, Alemania
Condición: Gut. Zustand: Gut | Sprache: Englisch | Produktart: Bücher | Keine Beschreibung verfügbar. Nº de ref. del artículo: 2953546/203
Cantidad disponible: 1 disponibles
Librería: Books Puddle, New York, NY, Estados Unidos de America
Condición: New. pp. 176 1st Edition. Nº de ref. del artículo: 26519004
Cantidad disponible: 4 disponibles
Librería: GreatBookPrices, Columbia, MD, Estados Unidos de America
Condición: New. Nº de ref. del artículo: 609298-n
Cantidad disponible: Más de 20 disponibles
Librería: California Books, Miami, FL, Estados Unidos de America
Condición: New. Nº de ref. del artículo: I-9780582276543
Cantidad disponible: Más de 20 disponibles
Librería: Majestic Books, Hounslow, Reino Unido
Condición: New. Print on Demand pp. 176 This item is printed on demand. Nº de ref. del artículo: 7361667
Cantidad disponible: 4 disponibles
Librería: Ria Christie Collections, Uxbridge, Reino Unido
Condición: New. In. Nº de ref. del artículo: ria9780582276543_new
Cantidad disponible: Más de 20 disponibles