A Survey of Preconditioned Iterative Methods

A Survey of Preconditioned Iterative Methods

Author: Are Magnus Bruaset

Publisher: Routledge

Published: 2018-12-13

Total Pages: 175

ISBN-13: 1351469371

DOWNLOAD EBOOK

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 w


Iterative Methods for Sparse Linear Systems

Iterative Methods for Sparse Linear Systems

Author: Yousef Saad

Publisher: SIAM

Published: 2003-01-01

Total Pages: 546

ISBN-13: 9780898718003

DOWNLOAD EBOOK

Since the first edition of this book was published in 1996, tremendous progress has been made in the scientific and engineering disciplines regarding the use of iterative methods for linear systems. The size and complexity of the new generation of linear and nonlinear systems arising in typical applications has grown. Solving the three-dimensional models of these problems using direct solvers is no longer effective. At the same time, parallel computing has penetrated these application areas as it became less expensive and standardized. Iterative methods are easier than direct solvers to implement on parallel computers but require approaches and solution algorithms that are different from classical methods. Iterative Methods for Sparse Linear Systems, Second Edition gives an in-depth, up-to-date view of practical algorithms for solving large-scale linear systems of equations. These equations can number in the millions and are sparse in the sense that each involves only a small number of unknowns. The methods described are iterative, i.e., they provide sequences of approximations that will converge to the solution.


Matrix Computations

Matrix Computations

Author: Gene Howard Golub

Publisher: JHU Press

Published: 2013-02-15

Total Pages: 781

ISBN-13: 1421407949

DOWNLOAD EBOOK

This revised edition provides the mathematical background and algorithmic skills required for the production of numerical software. It includes rewritten and clarified proofs and derivations, as well as new topics such as Arnoldi iteration, and domain decomposition methods.


Lectures on Advanced Computational Methods in Mechanics

Lectures on Advanced Computational Methods in Mechanics

Author: Johannes Kraus

Publisher: Walter de Gruyter

Published: 2011-12-22

Total Pages: 241

ISBN-13: 3110927098

DOWNLOAD EBOOK

This book contains four survey papers related to different topics in computational mechanics, in particular (1) novel discretization and solver techniques in mechanics and (2) inverse, control, and optimization problems in mechanics. These topics were considered in lectures, seminars, tutorials, and workshops at the Special Semester on Computational Mechanics held at the Johann Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria, in December 2005.


Matrix Preconditioning Techniques and Applications

Matrix Preconditioning Techniques and Applications

Author: Ke Chen

Publisher: Cambridge University Press

Published: 2005-07-14

Total Pages: 616

ISBN-13: 9780521838283

DOWNLOAD EBOOK

A comprehensive introduction to preconditioning techniques, now an essential part of successful and efficient iterative solutions of matrices.


Numerical Analysis and Its Applications

Numerical Analysis and Its Applications

Author: Lubin Vulkov

Publisher: Springer Science & Business Media

Published: 1997-02-26

Total Pages: 628

ISBN-13: 9783540625988

DOWNLOAD EBOOK

This book constitutes the refereed proceedings of the First International Workshop on Numerical Analysis and Its Applications, WNAA'96, held in Rousse, Bulgaria, in June 1996. The 57 revised full papers presented were carefully selected and reviewed for inclusion in the volume; also included are 14 invited presentations. All in all, the book offers a wealth of new results and methods of numerical analysis applicable in computational science, particularly in computational physics and chemistry. The volume reflects that the cooperation of computer scientists, mathematicians and scientists provides new numerical tools for computational scientists and, at the same time, stimulates numerical analysis.


Large-Scale Scientific Computing

Large-Scale Scientific Computing

Author: Svetozar D. Margenov

Publisher: Springer

Published: 2003-06-30

Total Pages: 500

ISBN-13: 3540453466

DOWNLOAD EBOOK

This book constitutes the thoroughly refereed post-proceedings of the Third International Conference on Large-Scale Scientific Computing, LSSC 2001, held in Sozopol, Bulgaria, in June 2001. The 7 invited full papers and 45 selected revised papers were carefully reviewed for inclusion in the book. The papers are organized in topical sections on robust preconditioning algorithms, Monte-Carlo methods, advanced programming environments for scientific computing, large-scale computations in air pollution modeling, large-scale computations in mechanical engineering, and numerical methods for incompressible flow.