Download or read book Extrapolation Techniques for Real Symmetric Matrices written by Gerald G. Bilodeau and published by . This book was released on 1957 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Vector Extrapolation Methods with Applications written by Avram Sidi and published by SIAM. This book was released on 2017-09-26 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important problem that arises in different disciplines of science and engineering is that of computing limits of sequences of vectors of very large dimension. Such sequences arise, for example, in the numerical solution of systems of linear and nonlinear equations by fixed-point iterative methods, and their limits are simply the required solutions to these systems. The convergence of these sequences, which is very slow in many cases, can be accelerated successfully by using suitable vector extrapolation methods. Vector Extrapolation Methods with Applications?is the first book fully dedicated to the subject of vector extrapolation methods. It is a self-contained, up-to-date, and state-of-the-art reference on the theory and practice of the most useful methods. It covers all aspects of the subject, including development of the methods, their convergence study, numerically stable algorithms for their implementation, and their various applications. It also provides complete proofs in most places. As an interesting application, the author shows how these methods give rise to rational approximation procedures for vector-valued functions in the complex plane, a subject of importance in model reduction problems among others. This book is intended for numerical analysts, applied mathematicians, and computational scientists and engineers in fields such as computational fluid dynamics, structures, and mechanical and electrical engineering, to name a few. Since it provides complete proofs in most places, it can also serve as a textbook in courses on acceleration of convergence of iterative vector processes, for example.
Download or read book Difference Methods and Their Extrapolations written by G.I. Marchuk and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stimulus for the present work is the growing need for more accurate numerical methods. The rapid advances in computer technology have not provided the resources for computations which make use of methods with low accuracy. The computational speed of computers is continually increasing, while memory still remains a problem when one handles large arrays. More accurate numerical methods allow us to reduce the overall computation time by of magnitude. several orders The problem of finding the most efficient methods for the numerical solution of equations, under the assumption of fixed array size, is therefore of paramount importance. Advances in the applied sciences, such as aerodynamics, hydrodynamics, particle transport, and scattering, have increased the demands placed on numerical mathematics. New mathematical models, describing various physical phenomena in greater detail than ever before, create new demands on applied mathematics, and have acted as a major impetus to the development of computer science. For example, when investigating the stability of a fluid flowing around an object one needs to solve the low viscosity form of certain hydrodynamic equations describing the fluid flow. The usual numerical methods for doing so require the introduction of a "computational viscosity," which usually exceeds the physical value; the results obtained thus present a distorted picture of the phenomena under study. A similar situation arises in the study of behavior of the oceans, assuming weak turbulence. Many additional examples of this type can be given.
Download or read book A Survey of Numerical Methods in the Solution of Diffusion Problems written by Gerald G. Bilodeau and published by . This book was released on 1957 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bettis Technical Review written by and published by . This book was released on 1959-05 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Selected basic techniques v 3 The physics of intermediate spectrum reactors Ed J R Stehn written by U.S. Atomic Energy Commission. Division of Reactor Development and published by . This book was released on 1959 with total page 1592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book PDQ written by Gerald G. Bilodeau and published by . This book was released on 1957 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computer Literature Bibliography 1946 1963 written by W. W. Youden and published by . This book was released on 1965 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computer Literature Bibliography written by United States. National Bureau of Standards and published by . This book was released on 1965 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Miscellaneous Publication National Bureau of Standards written by United States. National Bureau of Standards and published by . This book was released on 1965 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book WANDA a One dimensional Few group Diffusion Equation Code for the IBM 704 written by Orville J. Marlowe and published by . This book was released on 1959 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book KWIC Index for Numerical Algebra written by Alston Scott Householder and published by . This book was released on 1972 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Graduate Introduction to Numerical Methods written by Robert M. Corless and published by Springer Science & Business Media. This book was released on 2013-12-12 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an extensive introduction to numerical computing from the viewpoint of backward error analysis. The intended audience includes students and researchers in science, engineering and mathematics. The approach taken is somewhat informal owing to the wide variety of backgrounds of the readers, but the central ideas of backward error and sensitivity (conditioning) are systematically emphasized. The book is divided into four parts: Part I provides the background preliminaries including floating-point arithmetic, polynomials and computer evaluation of functions; Part II covers numerical linear algebra; Part III covers interpolation, the FFT and quadrature; and Part IV covers numerical solutions of differential equations including initial-value problems, boundary-value problems, delay differential equations and a brief chapter on partial differential equations. The book contains detailed illustrations, chapter summaries and a variety of exercises as well some Matlab codes provided online as supplementary material. “I really like the focus on backward error analysis and condition. This is novel in a textbook and a practical approach that will bring welcome attention." Lawrence F. Shampine A Graduate Introduction to Numerical Methods and Backward Error Analysis” has been selected by Computing Reviews as a notable book in computing in 2013. Computing Reviews Best of 2013 list consists of book and article nominations from reviewers, CR category editors, the editors-in-chief of journals, and others in the computing community.
Download or read book Numerical Methods for Solving Linear Systems and Applications to Elliptic Difference Equations written by Clarence Edgar Lee and published by . This book was released on 1959 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Iterative numerical methods for solving independent, simultaneous, inhomogeneous linear equations are surveyed. Application of the methods to elliptic difference equations as arise in neutron diffasion, heat conduction, and potential problems is discussed.
Download or read book Numerical Methods for Scientists and Engineers written by H.M. Antia and published by Springer Science & Business Media. This book was released on 2002-05-01 with total page 1962 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an exhaustive and in-depth exposition of the various numerical methods used in scientific and engineering computations. It emphasises the practical aspects of numerical computation and discusses various techniques in sufficient detail to enable their implementation in solving a wide range of problems.
Download or read book NBS Special Publication written by and published by . This book was released on 1965 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Theory of Neutron Slowing Down in Nuclear Reactors written by Joel H. Ferziger and published by . This book was released on 1962 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt:
