Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs

Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs
Author :
Publisher : SIAM
Total Pages : 106
Release :
ISBN-10 : 9781611973839
ISBN-13 : 161197383X
Rating : 4/5 (83X Downloads)

Book Synopsis Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs by : Josef Malek

Download or read book Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs written by Josef Malek and published by SIAM. This book was released on 2014-12-22 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs?is about the interplay between modeling, analysis, discretization, matrix computation, and model reduction. The authors link PDE analysis, functional analysis, and calculus of variations with matrix iterative computation using Krylov subspace methods and address the challenges that arise during formulation of the mathematical model through to efficient numerical solution of the algebraic problem. The book?s central concept, preconditioning of the conjugate gradient method, is traditionally developed algebraically using the preconditioned finite-dimensional algebraic system. In this text, however, preconditioning is connected to the PDE analysis, and the infinite-dimensional formulation of the conjugate gradient method and its discretization and preconditioning are linked together. This text challenges commonly held views, addresses widespread misunderstandings, and formulates thought-provoking open questions for further research.?


Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs Related Books

Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs
Language: en
Pages: 106
Authors: Josef Malek
Categories: Mathematics
Type: BOOK - Published: 2014-12-22 - Publisher: SIAM

DOWNLOAD EBOOK

Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs?is about the interplay between modeling, analysis, discretization, matrix compu
Preconditioned Conjugate Gradient Methods
Language: en
Pages: 0
Authors:
Categories:
Type: BOOK - Published: 1989 - Publisher:

DOWNLOAD EBOOK

Preconditioned Conjugate Gradient Methods
Language: en
Pages:
Authors:
Categories:
Type: BOOK - Published: 1989 - Publisher:

DOWNLOAD EBOOK

Preconditioned Conjugate-Gradient 2 (PCG2), a Computer Program for Solving Ground-water Flow Equations
Language: en
Pages: 54
Authors: Mary Catherine Hill
Categories: Groundwater
Type: BOOK - Published: 1990 - Publisher:

DOWNLOAD EBOOK

Preconditioned Conjugate Gradient Methods
Language: en
Pages: 204
Authors: Owe Axelsson
Categories: Mathematics
Type: BOOK - Published: 2006-11-14 - Publisher: Springer

DOWNLOAD EBOOK