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Author : A. R. Gourlay,GOURLAY - WATSON
Publisher : Unknown
Page : 142 pages
File Size : 45,8 Mb
Release : 1973
Category : Electronic
ISBN : 0783747330
Author : A. R. Gourlay,G. A. Watson
Publisher : John Wiley & Sons
Page : 152 pages
File Size : 42,5 Mb
Release : 1973
Category : Mathematics
ISBN : UOM:39015014363298
Author : Gene H. Golub,Charles F. Van Loan
Publisher : JHU Press
Page : 734 pages
File Size : 48,8 Mb
Release : 1996-10-15
Category : Mathematics
ISBN : 0801854148
Revised and updated, the third edition of Golub and Van Loan's classic text in computer science provides essential information about the mathematical background and algorithmic skills required for the production of numerical software. This new edition includes thoroughly revised chapters on matrix multiplication problems and parallel matrix computations, expanded treatment of CS decomposition, an updated overview of floating point arithmetic, a more accurate rendition of the modified Gram-Schmidt process, and new material devoted to GMRES, QMR, and other methods designed to handle the sparse unsymmetric linear system problem.
Author : Yousef Saad
Publisher : SIAM
Page : 292 pages
File Size : 44,8 Mb
Release : 2011-01-01
Category : Mathematics
ISBN : 1611970733
This revised edition discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications. Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest, and adapting the Notes and References section. Significant changes have been made to Chapters 6 through 8, which describe algorithms and their implementations and now include topics such as the implicit restart techniques, the Jacobi-Davidson method, and automatic multilevel substructuring.
Author : D. Vaughan Griffiths,I.M. Smith
Publisher : CRC Press
Page : 488 pages
File Size : 46,7 Mb
Release : 2006-06-22
Category : Mathematics
ISBN : 9781420010244
Although pseudocodes, Mathematica, and MATLAB illustrate how algorithms work, designers of engineering systems write the vast majority of large computer programs in the Fortran language. Using Fortran 95 to solve a range of practical engineering problems, Numerical Methods for Engineers, Second Edition provides an introduction to numerical methods,
Author : D. Vaughan Griffiths,I.M. Smith
Publisher : CRC Press
Page : 350 pages
File Size : 42,7 Mb
Release : 1991-03-31
Category : Mathematics
ISBN : 0849386101
Numerical Methods for Engineers: A Programming Approach is devoted to solving engineering problems using numerical methods. It covers all areas of introductory numerical methods and emphasizes techniques of programming in FORTRAN 77, and developing subprograms using FORTRAN functions and subroutines. In this way, the book serves as an introduction to using powerful mathematical subroutine libraries. Over 40 main programs are provided in the text and all subroutines are listed in the Appendix. Each main program is presented with a sample data-set and output, and all FORTRAN programs and subroutines described in the text can be obtained on disk from the publisher. Numerical Methods for Engineers: A Programming Approach is an excellent choice for undergraduates in all engineering disciplines, providing a much needed bridge between classical mathematics and computer code-based techniques.
Author : G. W. Stewart
Publisher : SIAM
Page : 489 pages
File Size : 44,5 Mb
Release : 2001-08-30
Category : Mathematics
ISBN : 9780898715033
This is the second volume in a projected five-volume survey of numerical linear algebra and matrix algorithms. It treats the numerical solution of dense and large-scale eigenvalue problems with an emphasis on algorithms and the theoretical background required to understand them. The notes and reference sections contain pointers to other methods along with historical comments. The book is divided into two parts: dense eigenproblems and large eigenproblems. The first part gives a full treatment of the widely used QR algorithm, which is then applied to the solution of generalized eigenproblems and the computation of the singular value decomposition. The second part treats Krylov sequence methods such as the Lanczos and Arnoldi algorithms and presents a new treatment of the Jacobi-Davidson method. These volumes are not intended to be encyclopedic, but provide the reader with the theoretical and practical background to read the research literature and implement or modify new algorithms.
Author : Stephen Jardin
Publisher : CRC Press
Page : 372 pages
File Size : 45,9 Mb
Release : 2010-06-02
Category : Computers
ISBN : 1439810958
Assuming no prior knowledge of plasma physics or numerical methods, Computational Methods in Plasma Physics covers the computational mathematics and techniques needed to simulate magnetically confined plasmas in modern magnetic fusion experiments and future magnetic fusion reactors. Largely self-contained, the text presents the basic concepts neces
Author : Larisa Beilina,Evgenii Karchevskii,Mikhail Karchevskii
Publisher : Springer
Page : 450 pages
File Size : 50,6 Mb
Release : 2017-09-19
Category : Mathematics
ISBN : 9783319573045
This book combines a solid theoretical background in linear algebra with practical algorithms for numerical solution of linear algebra problems. Developed from a number of courses taught repeatedly by the authors, the material covers topics like matrix algebra, theory for linear systems of equations, spectral theory, vector and matrix norms combined with main direct and iterative numerical methods, least squares problems, and eigenproblems. Numerical algorithms illustrated by computer programs written in MATLAB® are also provided as supplementary material on SpringerLink to give the reader a better understanding of professional numerical software for the solution of real-life problems. Perfect for a one- or two-semester course on numerical linear algebra, matrix computation, and large sparse matrices, this text will interest students at the advanced undergraduate or graduate level.
Author : Åke Björck
Publisher : Springer
Page : 800 pages
File Size : 50,7 Mb
Release : 2014-10-07
Category : Mathematics
ISBN : 9783319050898
Matrix algorithms are at the core of scientific computing and are indispensable tools in most applications in engineering. This book offers a comprehensive and up-to-date treatment of modern methods in matrix computation. It uses a unified approach to direct and iterative methods for linear systems, least squares and eigenvalue problems. A thorough analysis of the stability, accuracy, and complexity of the treated methods is given. Numerical Methods in Matrix Computations is suitable for use in courses on scientific computing and applied technical areas at advanced undergraduate and graduate level. A large bibliography is provided, which includes both historical and review papers as well as recent research papers. This makes the book useful also as a reference and guide to further study and research work.
Author : Singiresu S. Rao,S. S. Rao
Publisher : Butterworth-Heinemann
Page : 686 pages
File Size : 41,5 Mb
Release : 2005
Category : Mathematics
ISBN : 9780750678285
With the revolution in readily available computing power, the finite element method has become one of the most important tools for the modern engineer. This book offers a comprehensive introduction to the principles involved.
Author : Alan J. Laub
Publisher : SIAM
Page : 157 pages
File Size : 48,9 Mb
Release : 2012-01-01
Category : Mathematics
ISBN : 1611972213
Using an approach that author Alan Laub calls "matrix analysis for grown-ups," this new textbook introduces fundamental concepts of numerical linear algebra and their application to solving certain numerical problems arising in state-space control and systems theory. It is written for advanced undergraduate and beginning graduate students and can be used as a follow-up to Matrix Analysis for Scientists and Engineers (SIAM, 2005), a compact single-semester introduction to matrix analysis for engineers and computational scientists by the same author. Computational Matrix Analysis provides readers with a one-semester introduction to numerical linear algebra; an introduction to statistical condition estimation in book form for the first time; and an overview of certain computational problems in control and systems theory. The book features a number of elements designed to help students learn to use numerical linear algebra in day-to-day computing or research, including a brief review of matrix analysis, including notation, and an introduction to finite (IEEE) arithmetic; discussion and examples of conditioning, stability, and rounding analysis; an introduction to mathematical software topics related to numerical linear algebra; a thorough introduction to Gaussian elimination, along with condition estimation techniques; coverage of linear least squares, with orthogonal reduction and QR factorization; variants of the QR algorithm; and applications of the discussed algorithms.
Author : William R. Gibbs
Publisher : World Scientific
Page : 376 pages
File Size : 54,8 Mb
Release : 1999
Category : Science
ISBN : 9810240155
The use of computers to solve modern scientific problems is very widespread. The impact of the improvement of our techniques for the solution of complex problems is difficult to overstate. Even our approach to most problems has been changed. Solutions to problems once thought intractable are being routinely secured. Instead of using oversimplified models, as has been the practice for the treatment of scientific systems in the past, the entire problem can now be attacked. The second edition of Computation in Modern Physics develops and presents algorithms for the solution of many types of mathematical systems, some dating as far as the last few centuries, but also quite a number that have been developed within the last 10-50 years. In this last category, close attention is paid to the rapidly developing area of Monte Carlo techniques where new conceptual views of physics problems are being brought into play. With this method, problems in a large number of dimensions can be solved through the introduction of a modern method for the representation of multidimensional functions. This book is suitable for two different levels in computational physics. The first part is an advanced introductory level and is appropriate for good students with no previous experience in computational methods or any student with some experience. Here the student is introduced to integral and differential techniques, Monte Carlo integration, basic computer architecture, methods of linear algebra, finite element techniques, digital signal processing and chaos. The second part of the book is more specialized for problems in strong interaction with emphasis on solutions to many-body scattering problems andseveral-body bound state calculations with Monte Carlo techniques. It also contains a chapter dealing with techniques for the summation of divergent series.
Author : Gene H. Golub,Charles F. Van Loan
Publisher : JHU Press
Page : 781 pages
File Size : 44,6 Mb
Release : 2013-02-15
Category : Mathematics
ISBN : 9781421407944
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.
Author : Daniel Kressner
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 45,5 Mb
Release : 2006-01-20
Category : Mathematics
ISBN : 9783540285021
This book is about computing eigenvalues, eigenvectors, and invariant subspaces of matrices. Treatment includes generalized and structured eigenvalue problems and all vital aspects of eigenvalue computations. A unique feature is the detailed treatment of structured eigenvalue problems, providing insight on accuracy and efficiency gains to be expected from algorithms that take the structure of a matrix into account.