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Parallel solution methods in computational mathematics

  • 502 Pages
  • 2.33 MB
  • 3845 Downloads
  • English

John Wiley & Sons , Chichester, New York
Structural analysis (Engineering) -- Data processing., Computer-aided engineering., Finite element method -- Data proces
Statementedited by M. Papadrakakis.
SeriesWiley series in solving large-scale problems in mechanics
ContributionsPapadrakakis, Manolis.
The Physical Object
Paginationxiv, 502 p. :
ID Numbers
Open LibraryOL18100296M
ISBN 100471956961

Computational Mathematics: Models, Methods, and Analysis with MATLAB and MPI explores and illustrates this process. Each section of the first six chapters is motivated by a specific application. The author applies a model, selects a numerical method, implements computer simulations, and assesses the ensuing by: Computational Mathematics: Models, Methods, and Analysis with MATLAB ® and MPI is a unique book covering the concepts and techniques at the core of computational science.

The author delivers a hands-on introduction to nonlinear, 2D, and 3D models; nonrectangular domains; systems of partial differential equations; and large algebraic problems requiring high 5/5(1). The book examines practically all the important questions of current interests for nonlinear solid mechanics: plasticity, damage, large deformations, contact, dynamics, instability, localisation and failure, discrete models, multi-scale, multi-physics and parallel computing, with special attention given to finite element solution methods.

Introduction to Computational Mathematics The goal of computational mathematics, put simply, is to find or develop algo-rithms that solve mathematical problems computationally (ie. using comput-ers). In particular, we desire that any algorithm we develop fulfills four primary properties: •.

Computational Mathematics: Models, Methods, and Analysis with MATLAB (R) and MPI, Second Edition is an ideal textbook for an undergraduate course taught to mathematics, computer science, and engineering students.

Description Parallel solution methods in computational mathematics EPUB

By using code in practical ways, students take their first steps toward more sophisticated numerical modeling. show more. At the 19th Annual Conference on Parallel Computational Fluid Dynamics held in Antalya, Turkey, in Maythe most recent developments and implementations of large-scale and grid computing were presented.

This book, comprised of the invited and selected papers of this conference, details those advances, which are of particular interest to CFD and CFD.

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Parallel Computational Fluid Dynamics: New Trends and Advances / A. Ecer et al. (Editors) Elsevier Science B.V. 61 Parallel solution methods for the Navier-Stokes equations R. Rannacher Institut f/.ir Angewandte Mathematik, Universit~it Heidelberg, INFD Heidelberg, Germany The efficient solution of flow problems on parallel computers requires a proper Cited by: 2.

ComputationalMathematics ra 3 we conclude that uis continuously differentiable and is solution of (). The idea of the proof will be crucial for the construction of File Size: 1MB. Computational Mathematics and Numerical Analysis *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis.

ebook access is temporary and does not include ownership of the : Vieweg+Teubner Verlag. This book constitutes the proceedings of the 15th International Conference on Parallel Computing Technologies, PaCTheld in Almaty, Kazakhstan, in August The 24 full papers and 10 short papers presented were carefully reviewed and selected from 72 submissions.

the mathematics of the Navier–Stokes (N.–S.) equations of incompressible flow and the algorithms that have been developed over the past 30 years for solving them.

This author is thoroughly convinced that some background in the mathematics of the N.–S. equations is essential to avoid conducting exhaustiveFile Size: 1MB. Robust Task-Parallel Solution of the Triangular Sylvester Equation.

Parallel Processing and Applied Mathematics, Computational and Applied Mathematics() On the singular values of matrices with high displacement rank. Matrix Methods. Computational Methods in Physics, () Low Rank Spectral Network Cited by: Parallel Computational Fluid Dynamics Trends and Applications.

Book • Authors: Domain Decomposition Methods Using GAs and Game Theory for the Parallel Solution of CFD Problems. the real power of parallel CFD comes from the combination of all the disciplines involved: Physics, mathematics, and computer science. This is. It is shown by using the example of solution methods for systems of linear algebraic equations that algorithms possessing the important properties of being parallel and asynchronous can be constructed by reducing the problem under consideration to computing a path integral.

Earlier, it was shown by the author and his colleagues that, with increasing the Cited by: 1. This refereed volume arose from the editors' recognition that physical scientists, engineers, and applied mathematicians are developing, in parallel, solutions to problems of parallelization.

The cross-disciplinary field of scientific computation is bringing about better communication between heterogeneous computational groups, as they face. The book is a comprehensive and theoretically sound treatment of parallel and distributed numerical methods.

It focuses on algorithms that are naturally suited for massive parallelization, and it explores the fundamental convergence, rate of convergence, communication, and synchronization issues associated with such algorithms. Computational mechanics is the discipline concerned with the use of computational methods to study phenomena governed by the principles of mechanics.

Before the emergence of computational science (also called scientific computing) as a "third way" besides theoretical and experimental sciences, computational mechanics was widely considered to be a sub-discipline. Purchase Parallel Computational Fluid Dynamics - 1st Edition.

Print Book & E-Book. ISBNfrom book Applied Parallel and Scientific Computing: 10th International Conference, PARAReykjavík, Iceland, June, Revised Selected Papers, Parts I. Parallel Computing for Finite Element Methods: DS (Aug) This course will provide an introduction to parallel finite element data structure and its efficient implementation in ParMooN (Parallel Mathematics and object oriented Numerics), an open source parallel finite element package.

Further, the implementation of the parallel (MPI/OpenMPI) geometric multigrid solver. Objective The highly selective international mathematical journal Computational Methods in Applied Mathematics (CMAM) considers original mathematical contributions to computational methods and numerical analysis with applications mainly related to PDEs.

CMAM seeks to be interdisciplinary while retaining the common thread of numerical analysis, it is intended to be. The book series ``Library of Computational Mathematics'' is published by Cambridge University Press under the FoCM imprint.

Major conferences of the FOCM take place every two or three years and deal with the entire spectrum of mathematical computation. Computation has played a central and critical role in mechanics for more than 30 years.

Current supercomputers are being used to address challenging problems throughout the field. The Raveche Report 1 covers a broad range of disciplines. Nevertheless, it cites specific accomplishments where. Stefan Klus, Tuhin Sahai, Cong Liu, Michael Dellnitz, An efficient algorithm for the parallel solution of high-dimensional differential equations, Journal of Computational and Applied Mathematics, v n.9, p, March, Cited by: not warrant the accuracy of the text or exercises in this book.

This book s use or discussion of MAT - LAB® software or related products does not constitute endorsement or sponsorship by The MathWorks of a particular pedagogical approach or particular use of the MATLAB® software.

CRC Press Taylor & Francis Group.

Details Parallel solution methods in computational mathematics EPUB

This activity group fosters collaboration and interaction among applied mathematicians, computer scientists, domain scientists and engineers in those areas of research related to the theory, development, and use of computational technologies for the solution of important problems in science and engineering.

iterative methods for linear systems have made good progress in scientific an d engi- neering disciplines. This is due in great part to the increased complexity and size of. The book also includes a chapter on the fast Fourier transform and a very practical introduction to the solution of linear algebra problems on modern supercomputers.

The book contains the relevant theory for most of the methods employed. It also emphasizes the practical aspects involved in implementing the methods. The parallel efficiency of the solver is increased by transforming the equation system into a problem without dense rows and columns as well as by.

A plethora of problems in mathematics, economics, physics, biology, chemistry, engineering, and other disciplines can be reduced to solving an equation or a system of equations in an abstract space.

The solution of the equation can be found in closed form only in some special cases. Get this from a library! Parallel and distributed computational intelligence. [Francisco Fernández Vega; Erick Cantú-Paz;] -- The growing success of biologically inspired algorithms in solving large and complex problems has spawned many interesting areas of research.

Over the years, one of the mainstays in bio-inspired. Since the middle of the last century, computing power has increased sufficiently that the direct numerical approximation of Maxwell's equations is now an increasingly important tool in science and engineering.

Parallel to the increasing use of numerical methods in computational electromagnetism there has also been considerable progress in the .As scientific technology becomes increasingly more sophisticated, numerical analysts, mathematicians, and engineers have to solve larger and larger problems, necessitating the use of parallel computers.

This book presents an up-to-date exposition of the current state of the art of numerical methods for solving ordinary equations in a parallel computing environment.