Last edited by Muzil
Thursday, October 22, 2020 | History

4 edition of The numerical performance of variational methods found in the catalog.

The numerical performance of variational methods

by S. G. Mikhlin

  • 28 Want to read
  • 1 Currently reading

Published by Wolters-Noordhoff Publishing in Groningen, The Netherlands .
Written in English

    Subjects:
  • Calculus of variations,
  • Numerical analysis

  • Edition Notes

    Statement[by] S. G. Mikhlin. Translated from the Russian by R. S. Anderssen.
    Classifications
    LC ClassificationsQA316 .M513
    The Physical Object
    Paginationxxiii, 373 p.
    Number of Pages373
    ID Numbers
    Open LibraryOL4766874M
    LC Control Number78119883

    Combination of the variational iteration method and numerical algorithms for nonlinear problems. Potential of LVIM in high performance computing of nonlinear systems is revealed. Abstract. A very simple and efficient local variational iteration method (LVIM), or variational iteration method with local property, for solving problems of Cited by: 1. Finally, it is important to mention that CPU time for both methods, ()–() and variational regularization, is approximately the same and it is very small: about 3–4 ms for n = Conclusion. The paper presents numerical results of the implementation of the deconvolution method developed by AGR and presented together with other results method is Cited by: 3.

    "This book marks an important landmark in the theory of distributed systems and I highly recommend it to students and practicing engineers in the fields of operations research and computer science, as well as to mathematicians interested in numerical methods." Lorne G. Mason, in IEEE Communications Magazine. Among its special features, the book. Book Description. Variational Methods in Image Processing presents the principles, techniques, and applications of variational image processing. The text focuses on variational models, their corresponding Euler–Lagrange equations, and numerical implementations for image processing.

    Why numerical methods? Numerical computing is the continuation of mathematics by other means Science and engineering rely on both qualitative and quantitative aspects of mathe-matical models. Qualitative insight is usually gained from simple model problems that may be solved using analytical methods. Quantitative insight, on the other hand,File Size: 6MB.   Purchase Variational Methods in the Mechanics of Solids - 1st Edition. Print Book & E-Book. ISBN , Book Edition: 1.


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The numerical performance of variational methods by S. G. Mikhlin Download PDF EPUB FB2

MIKHLIN University of Leningrad, Leningrad, USSR THE NUMERICAL PERFORMANCE OF VARIATIONAL METHODS translated from the Russian by DR. ANDERSSEN Computer Centre, The Australian National University, Canberra ami WOLTERS-NOORDHOFF PUBLISHING GRONINGEN THE NETHERLANDS ® WOLTERS-NOORDHOFF PUBLISHING No part of this book.

Additional Physical Format: Online version: Mikhlin, S.G. (Solomon Grigorʹevich), Numerical performance of variational methods. Groningen, The Netherlands. COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle.

Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems addresses computational methods that have proven efficient for the solution of a large variety of nonlinear elliptic problems.

These methods can be applied to many problems in science and engineering, but this book focuses on their application The numerical performance of variational methods book problems in continuum mechanics and physics.

Variational methods for the numerical solution of nonlinear elliptic problems / Roland Glowinski, University of Houston, Houston, Texas. pages cm. -- (CBMS-NSF regional conference series in applied mathematics ; 86) Includes bibliographical references and index.

ISBN 1. Nonlinear functional analysis. Elliptic functions. The methods put forward in Discrete Variational Derivative Method concentrate on a new class of "structure-preserving numerical equations" which improves the qualitative behaviour of the PDE solutions and allows for stable computing.

The authors have also taken care to present their methods in an accessible manner, which means that the book will be useful to engineers and physicists with a basic knowledge of numerical by: Introduction to Numerical Methods for Variational Problems Hans Petter Langtangen 1;2 Kent-Andre Mardal 3;1 1 Center for Biomedical Computing, Simula Research Laboratory 2 Department of Informatics, University of Oslo 3 Department of Mathematics, University of Oslo This easy-to-read book introduces the basic ideas and technicalities.

fem-book. Resources for "Introduction to Numerical Methods for Variational Problems" by H. Langtangen and K.-A. Mardal. View the Project on GitHub hplgit/fem-book. Download ZIP File; Download TAR Ball; View On GitHub; Introduction to Numerical Methods for Variational.

The use of variational methods for the construction of sufficiently accurate approximate solutions of a given system requires the existence of the corresponding variational principle - a solution of the inverse problems of the calculus of variations.

In the frame of the Euler’s functionals there may not exist variational by: 1. Download Numerical Methods By R. Jain, S. Iyengar – This comprehensive textbook covers material for one semester course on Numerical Methods (MA ) for B.E./ students of Anna University.

The emphasis in the book is on the presentation of fundamentals and theoretical concepts in an intelligible and easy to understand manner. In this text, we consider numerical methods for solving ordinary differential equations, that is, those differential equations that have only one independent variable.

The differential equations we consider in most of the book are of the form Y′(t) = f(t,Y(t)), where Y(t) is an unknown function that is being Size: 1MB.

"Numerical Methods for Nonlinear Variational Problems", originally published in the Springer Series in Computational Physics, is a classic in applied mathematics and computational physics and engineering. This long-awaited softcover re-edition is still a valuable resource for practitioners in industry and physics and for advanced : Springer-Verlag Berlin Heidelberg.

This article introduces the proceedings of the conference Variational Methods: Open Problems, Recent Progress, and Numerical Algorithms, which was held at Northern Arizona University in Flagstaff, Arizona, June 5th through June 8th, Alfonso Castro, Goong Chen, and Wei-Ming Ni each gave three one-hour keynote presentations.

Variational methods with applications in science and engineering. The construction of these grids is motivated by the desire to improve the performance and accuracy of numerical methods based. Mathematical Analysis and Numerical Methods for Science and Technology: Volume 2 Functional And Variational Methods by I.N.

Sneddon (Author), H. Lanchon B. M (Contributor) ISBN ISBN Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a Format: Paperback.

4 The Variational Method 32 The aim of these lecture notes is to provide an introduction to methods and techniques used in the numerical solution of simple (non-relativistic) quantum-mechanical problems, with special emphasis on atomic and condensed-matter particular to the book of Thijssen.

About Software. Mathematical Analysis and Numerical Methods for Science and Technology Volume 2 Functional and Variational Methods. Authors: Dautray, Robert, Lions, Jacques-Louis *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 ebook. This book contains original contributions from eminent scientifics and engineers worldwide on the state of the art developments and applications of numerical methods for scientific computing.

Emphasis is put in the solution of problems which can be casted in a variational form. The methods put forward in Discrete Variational Derivative Method concentrate on a new class of "structure-preserving numerical equations" which improves the qualitative behaviour of the PDE solutions and allows for stable computing.

The authors have also taken care to present their methods in an accessible manner, which means that the book. Application of the group finite element method; Numerical integration of nonlinear terms by hand; Discretization of a variable coefficient Laplace term; Group finite element method; Numerical integration at the nodes; Variational methods for linear systems; Conjugate gradient-like iterative methods; The Galerkin method; The least squares method.

Books shelved as numerical-methods: Numerical Methods in Engineering & Science by B.S. Grewal, Numerical Methods That Work by Forman S. Acton, Numerical.1 Introduction. An important and very useful class of non-linear problems arising from 1. mechanics, physics etc. consists of the so-called Variational Inequali- ties.

We mainly consider the following two types of variational inequal- ities, namely 1. Elliptic Variational Inequalities .The variational methods provide simple but powerful solutions to physical problems provided we can find approximate basis functions.

A prominent feature of the variational method lies in the ability to achieve high accuracy with few terms in the approximate solution. A major drawback is the difficulty encountered in selecting the basis.