Variational Methods In Mathematics Science And Engineering Translated From The Czech

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Variational Methods In Mathematics Science And Engineering
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Author : Karel Rektorys
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Variational Methods In Mathematics Science And Engineering written by Karel Rektorys and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Social Science categories.
The impulse which led to the writing of the present book has emerged from my many years of lecturing in special courses for selected students at the College of Civil Engineering of the Tech nical University in Prague, from experience gained as supervisor and consultant to graduate students-engineers in the field of applied mathematics, and - last but not least - from frequent consultations with technicians as well as with physicists who have asked for advice in overcoming difficulties encountered in solving theoretical problems. Even though a varied combination of problems of the most diverse nature was often in question, the problems discussed in this book stood forth as the most essential to this category of specialists. The many discussions I have had gave rise to considerations on writing a book which should fill the rather unfortunate gap in our literature. The book is designed, in the first place, for specialists in the fields of theoretical engineering and science. However, it was my aim that the book should be of interest to mathematicians as well. I have been well aware what an ungrateful task it may be to write a book of the present type, and what problems such an effort can bring: Technicians and physicists on the one side, and mathematicians on the other, are often of diametrically opposing opinions as far as books con ceived for both these categories are concerned.
Variational Methods In Mathematics Science And Engineering Translated From The Czech
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Author :
language : en
Publisher:
Release Date : 1977
Variational Methods In Mathematics Science And Engineering Translated From The Czech written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
Numerical Verification Methods And Computer Assisted Proofs For Partial Differential Equations
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Author : Mitsuhiro T. Nakao
language : en
Publisher: Springer Nature
Release Date : 2019-11-11
Numerical Verification Methods And Computer Assisted Proofs For Partial Differential Equations written by Mitsuhiro T. Nakao and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-11 with Mathematics categories.
In the last decades, various mathematical problems have been solved by computer-assisted proofs, among them the Kepler conjecture, the existence of chaos, the existence of the Lorenz attractor, the famous four-color problem, and more. In many cases, computer-assisted proofs have the remarkable advantage (compared with a “theoretical” proof) of additionally providing accurate quantitative information. The authors have been working more than a quarter century to establish methods for the verified computation of solutions for partial differential equations, mainly for nonlinear elliptic problems of the form -∆u=f(x,u,∇u) with Dirichlet boundary conditions. Here, by “verified computation” is meant a computer-assisted numerical approach for proving the existence of a solution in a close and explicit neighborhood of an approximate solution. The quantitative information provided by these techniques is also significant from the viewpoint of a posteriori error estimates for approximate solutions of the concerned partial differential equations in a mathematically rigorous sense. In this monograph, the authors give a detailed description of the verified computations and computer-assisted proofs for partial differential equations that they developed. In Part I, the methods mainly studied by the authors Nakao and Watanabe are presented. These methods are based on a finite dimensional projection and constructive a priori error estimates for finite element approximations of the Poisson equation. In Part II, the computer-assisted approaches via eigenvalue bounds developed by the author Plum are explained in detail. The main task of this method consists of establishing eigenvalue bounds for the linearization of the corresponding nonlinear problem at the computed approximate solution. Some brief remarks on other approaches are also given in Part III. Each method in Parts I and II is accompanied by appropriate numerical examples that confirm the actual usefulness of the authors’ methods. Also in some examples practical computer algorithms are supplied so that readers can easily implement the verification programs by themselves.
Pure And Applied Science Books 1876 1982
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Author :
language : en
Publisher: R. R. Bowker
Release Date : 1982
Pure And Applied Science Books 1876 1982 written by and has been published by R. R. Bowker this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Reference categories.
Over 220,000 entries representing some 56,000 Library of Congress subject headings. Covers all disciplines of science and technology, e.g., engineering, agriculture, and domestic arts. Also contains at least 5000 titles published before 1876. Has many applications in libraries, information centers, and other organizations concerned with scientific and technological literature. Subject index contains main listing of entries. Each entry gives cataloging as prepared by the Library of Congress. Author/title indexes.
Error Control Adaptive Discretizations And Applications Part 1
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Author :
language : en
Publisher: Elsevier
Release Date : 2024-06-29
Error Control Adaptive Discretizations And Applications Part 1 written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-29 with Science categories.
Error Control, Adaptive Discretizations, and Applications, Volume 58, Part One highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this release cover hp adaptive Discontinuous Galerkin strategies driven by a posteriori error estimation with application to aeronautical flow problems, An anisotropic mesh adaptation method based on gradient recovery and optimal shape elements, and Model reduction techniques for parametrized nonlinear partial differential equations. - Covers multi-scale modeling - Includes updates on data-driven modeling - Presents the latest information on large deformations of multi-scale materials
Reviews In Partial Differential Equations 1980 86 As Printed In Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 1988
Reviews In Partial Differential Equations 1980 86 As Printed In Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Differential equations, Partial categories.
Solving Ordinary And Partial Boundary Value Problems In Science And Engineering
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Author : Karel Rektorys
language : en
Publisher: CRC Press
Release Date : 2024-11-01
Solving Ordinary And Partial Boundary Value Problems In Science And Engineering written by Karel Rektorys and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-01 with Mathematics categories.
This book provides an elementary, accessible introduction for engineers and scientists to the concepts of ordinary and partial boundary value problems, acquainting readers with fundamental properties and with efficient methods of constructing solutions or satisfactory approximations. Discussions include: ordinary differential equations classical theory of partial differential equations Laplace and Poisson equations heat equation variational methods of solution of corresponding boundary value problems methods of solution for evolution partial differential equations The author presents special remarks for the mathematical reader, demonstrating the possibility of generalizations of obtained results and showing connections between them. For the non-mathematician, the author provides profound functional-analytical results without proofs and refers the reader to the literature when necessary. Solving Ordinary and Partial Boundary Value Problems in Science and Engineering contains essential functional analytical concepts, explaining its subject without excessive abstraction.
Mathematical Methods In Fluid Dynamics
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Author : Miloslav Feistauer
language : en
Publisher: Chapman and Hall/CRC
Release Date : 1993-07-05
Mathematical Methods In Fluid Dynamics written by Miloslav Feistauer and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-07-05 with Mathematics categories.
Part of the "Pitman Monographs and Surveys in Pure and Applied Mathematics" series, this text examines mathematical methods in fluid dynamics.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 1995
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
Reviews In Functional Analysis 1980 86
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Author :
language : en
Publisher:
Release Date : 1989
Reviews In Functional Analysis 1980 86 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Functional analysis categories.