Computer Solution of Large Linear Systems PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Computer Solution of Large Linear Systems PDF full book. Access full book title Computer Solution of Large Linear Systems by Gerard Meurant. Download full books in PDF and EPUB format.
Author: Gerard Meurant Publisher: Elsevier ISBN: 0080529518 Category : Mathematics Languages : en Pages : 777
Book Description
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.
Author: Gerard Meurant Publisher: Elsevier ISBN: 0080529518 Category : Mathematics Languages : en Pages : 777
Book Description
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.
Author: Antonio Laganà Publisher: Springer Science & Business Media ISBN: 9400909454 Category : Science Languages : en Pages : 436
Book Description
The need for accurate computational procedures to evaluate detailed properties of gas phase chemical reactions is evident when one considers the wealth of information provided by laser, molecular beam and fast How experiments. By stressing ordinary scalar computers to their limiting performance quantum chemistry codes can already provide sufficiently accurate estimates of the stability of several small molecules and of the reactivity of a few elementary processes. However, the accurate characterization of a reactive process, even for small systems, is so demanding in terms of computer resources to make the use of supercomputers having vector and parallel features unavoidable. Sometimes to take full advantage from these features all is needed is a restructure of those parts of the computer code which perform vector and matrix manipulations and a parallel execution of its independent tasks. More often, a deeper restructure has to be carried out. This may involve the problem of choosing a suitable computational strategy or the more radical alternative of changing the theoretical treatment. There are cases, in fact, where theoretical approaches found to be inefficient on a scalar computer exhibit their full computational strength on a supercomputer.
Author: Vladimir Voevodin Publisher: Springer Nature ISBN: 3030646165 Category : Computers Languages : en Pages : 660
Book Description
This book constitutes the refereed post-conference proceedings of the 6th Russian Supercomputing Days, RuSCDays 2020, held in Moscow, Russia, in September 2020.* The 51 revised full and 4 revised short papers presented were carefully reviewed and selected from 106 submissions. The papers are organized in the following topical sections: parallel algorithms; supercomputer simulation; HPC, BigData, AI: architectures, technologies, tools; and distributed and cloud computing. * The conference was held virtually due to the COVID-19 pandemic.
Author: Gene Golub Publisher: Springer Science & Business Media ISBN: 1461393531 Category : Mathematics Languages : en Pages : 234
Book Description
This IMA Volume in Mathematics and its Applications RECENT ADVANCES IN ITERATIVE METHODS is based on the proceedings of a workshop that was an integral part of the 1991-92 IMA program on "Applied Linear Algebra. " Large systems of matrix equations arise frequently in applications and they have the prop erty that they are sparse and/or structured. The purpose of this workshop was to bring together researchers in numerical analysis and various ap plication areas to discuss where such problems arise and possible meth ods of solution. The last two days of the meeting were a celebration dedicated to Gene Golub on the occasion of his sixtieth birthday, with the program arranged by Jack Dongarra and Paul van Dooren. We are grateful to Richard Brualdi, George Cybenko, Alan George, Gene Golub, Mitchell Luskin, and Paul Van Dooren for planning and implementing the year-long program. We especially thank Gene Golub, Anne Greenbaum, and Mitchell Luskin for organizing this workshop and editing the proceed ings. The financial support of the National Science Foundation and the Min nesota Supercomputer Institute made the workshop possible. A vner Friedman Willard Miller, Jr. xi PREFACE The solution of very large linear algebra problems is an integral part of many scientific computations.
Author: Kang Hoh Phua Publisher: World Scientific ISBN: 9814555991 Category : Languages : en Pages : 496
Book Description
Supercomputing is a strategic tool for the future. These proceedings examine the most recent advances in effective applications of supercomputing and offer provocative visions of the future. Special focus is given to the spread of applications in both the public and commercial sectors where supercomputing is being increasingly embraced as the ultimate competitive tool in the global arena.
Author: Robert W. Numrich Publisher: Springer Science & Business Media ISBN: 146132503X Category : Science Languages : en Pages : 305
Book Description
For the past three years, Control Data has cosponsored an applications symposium at one of its CYBER 205 customer sites. Approximately 125 participants from North America and Europe attended each of the three symposia. The Institute for Computational Studies at Colorado State University hosted the first symposium at Fort Collins, Colorado, August 12-13, 1982. The second annual symposium took place in Lanham, Maryland, and was hosted by the NASA Goddard Space Flight Center. This volume contains the proceedings of the Supercomputer Applications symposium held October 31-November 1, 1984, at Purdue University, West Lafayette, Indiana. The purpose of this volume is to provide a forum for users of Control Data's CYBER 205 supercomputer to exchange common experiences and to discuss results of research projects performed on the computer. The unifying theme across the many disciplines is the development of methods and techniques to exploit the computational power of the CYBER 205. Some what surprisingly, these techniques are quite similar and apply to a wide range of problems in physics, chemistry, and engineering.
Author: Henry J Gardner Publisher: World Scientific ISBN: 9814552690 Category : Mathematics Languages : en Pages : 552
Book Description
This volume contains papers on computational mathematics, development, implementation, and application of numerical algorithms, the development and application of computational systems, and numerical modelling. Also featured are reports on applications of advanced computer architectures and innovative visualisation techniques. It will be a help for developers and implementors of computational methods who wish to find out more about the work of those applying the technology to problems in engineering and science, and vice versa.
Author: Are Magnus Bruaset Publisher: Routledge ISBN: 1351469371 Category : Mathematics Languages : en Pages : 175
Book Description
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
Author: Gerard Meurant
Author: Gerard Meurant
Author: Antonio Laganà 
Author: Owe Axelsson
Author: Vladimir Voevodin
Author: Gene Golub
Author: Kang Hoh Phua
Author: Raul H. Mendez
Author: Robert W. Numrich
Author: Henry J Gardner
Author: Are Magnus Bruaset