Download or read book On the Numerical Solution of Helmholtz s Equation and the Eigenvalue Problem of the Laplace Operator by the Capacitance Matrix Method written by Wlodzimierz Proskurowski and published by . This book was released on 1976 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Capacitance Matrix Methods for the Helmholtz Equation on General Three Dimensional Regions Classic Reprint written by Dianne P. O'Leary and published by Forgotten Books. This book was released on 2016-08-30 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Capacitance Matrix Methods for the Helmholtz Equation on General Three-Dimensional Regions In the second section, we discuss the imbedding idea. Following a review of classical potential theory, we derive our capacitance matrix methods in Section 3. Section 4 focuses on algorithmic aspects which are of crucial importance in the develop ment of fast, reliable and modular computer code. We solve the capacitance matrix equations by conjugate gradient methods. These methods, originally used in a similar context by George are reviewed in that section. We also discuss how spectral information and approximate inverses of the capacitance matrices can be obtained and used at a moderate cost in computer time and storage. The fast Poisson solver which is used in our program is described in Section 5. It is numerically stable even for negative values of the coefficient c of the Helmholtz operator. Finally, we give details on the organization of our computer program and results from numerical experiments. These tests were designed to be quite severe and the method has proved efficient and reliable. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book On the Numerical Solution of Helmholtz s Equation by the Capacitance Matrix Method written by Olof Widlund and published by . This book was released on 1975 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Milestones in Matrix Computation The selected works of Gene H Golub with commentaries written by Raymond Chan and published by OUP Oxford. This book was released on 2007-02-22 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text presents and discusses some of the most influential papers in Matrix Computation authored by Gene H. Golub, one of the founding fathers of the field. The collection of 21 papers is divided into five main areas: iterative methods for linear systems, solution of least squares problems, matrix factorizations and applications, orthogonal polynomials and quadrature, and eigenvalue problems. Commentaries for each area are provided by leading experts: Anne Greenbaum, Ake Bjorck, Nicholas Higham, Walter Gautschi, and G. W. (Pete) Stewart. Comments on each paper are also included by the original authors, providing the reader with historical information on how the paper came to be written and under what circumstances the collaboration was undertaken. Including a brief biography and facsimiles of the original papers, this text will be of great interest to students and researchers in numerical analysis and scientific computation.
Download or read book Milestones in Matrix Computation written by Gene Howard Golub and published by Oxford University Press. This book was released on 2007-02-22 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text presents and discusses some of the most influential papers in Matrix Computation authored by Gene H. Golub, one of the founding fathers of the field. Including commentaries by leading experts and a brief biography, this text will be of great interest to students and researchers in numerical analysis and scientific computation.
Download or read book Mathematics of Computation written by and published by . This book was released on 1979 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Original articles on all aspects of numerical mathematics, book reviews, mathematical tables, and technical notes. Covers advances in numerical analysis, application of computer methods, high speed calculating, and other aids to computation.
Download or read book Capacitance Matrix Methods for the Helmholtz Equation on General Three Dimensional Regions written by Dianne P. O'Leary and published by Palala Press. This book was released on 2018-03 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book Numerical Solution of Helmholtz s Equation by the Capacitance Matrix Method In FORTRAN for IBM 360 75 Computer written by and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The computer solution of the Helmholtz equation is discussed. Problems can be treated on bounded regions which do not allow for separation of variables. The topics treated in the report are as follows: certain results from classical potential theory, the imbedding of discrete Poisson problems, a capacitance matrix method for the Dirichlet case, a capacitance matrix method for the Neumann case, the Fourier--Toeplitz method and the fast generation of the capacitance matrix, the conjugate gradient method, previous work on capacitance matrix methods, numeral experiments, and outline of a computer program for the numerical solution of the interior Helmholtz equation in two variables with the Dirichlet and Neumann boundary conditions by finite difference methods. 3 figures, 8 tables. (RWR).
Download or read book On the Numerical Solution of Helmholtzs Equation by the Capacitance Matrix Method Part I written by and published by . This book was released on 1976 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Numerical Solution of Helmholtz s Equation by the Capacitance Matrix Method 1 written by Wlodzimierz Proskurowski and published by . This book was released on 1976 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Selected Papers from the Second Conference on Parallel Processing for Scientific Computing written by Charles William Gear and published by SIAM. This book was released on 1987-01-01 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings -- Parallel Computing.
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1976 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advances in Computer Methods for Partial Differential Equations IV written by Robert Vichnevetsky and published by . This book was released on 1981 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Numerical Solution of Helmholtz s Equation by the Capacitance Matrix Method written by Wlodzimierz Proskurowski and published by . This book was released on 1975 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 1990 with total page 1256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Iterative Solutions of the Helmholtz Equation written by R. E. Kleinman and published by . This book was released on 1964 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report presents a new approach to the solution of the problem of scalar scattering by three-dimensional finite bodies. Specifically, a method is found, of general applicability, whereby the solution of the static c potential problem for a Dirichlet boundary condition on a particular surface is transformed, by successive operations, into the solution of the scalar Helmholtz equation satisfying the same boundary conditions.
Download or read book SIAM Journal on Scientific and Statistical Computing written by Society for Industrial and Applied Mathematics and published by . This book was released on 1987 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt:
