Analytical And Numerical Approaches To Asymptotic Problems In Analysis

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Analytical And Numerical Approaches To Asymptotic Problems In Analysis
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Author : O. Axelsson
language : en
Publisher: Elsevier
Release Date : 2010-07-03
Analytical And Numerical Approaches To Asymptotic Problems In Analysis written by O. Axelsson and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-03 with Mathematics categories.
Analytical and Numerical Approaches to Asymptotic Problems in Analysis
Analytical And Numerical Approaches To Asymptotic Problems In Analysis
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Author :
language : en
Publisher:
Release Date : 1981
Analytical And Numerical Approaches To Asymptotic Problems In Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.
Analytical And Numerical Approaches To Asymptotic Problems In Analysis
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Author : O. Axelsson
language : en
Publisher:
Release Date : 1981
Analytical And Numerical Approaches To Asymptotic Problems In Analysis written by O. Axelsson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.
Contact Problems In Elasticity
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Author : N. Kikuchi
language : en
Publisher: SIAM
Release Date : 1988-01-01
Contact Problems In Elasticity written by N. Kikuchi and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Science categories.
The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes.
Computation And Asymptotics
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Author : Rudrapatna V. Ramnath
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-11
Computation And Asymptotics written by Rudrapatna V. Ramnath 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 2012-01-11 with Mathematics categories.
This book addresses the task of computation from the standpoint of asymptotic analysis and multiple scales that may be inherent in the system dynamics being studied. This is in contrast to the usual methods of numerical analysis and computation. The technical literature is replete with numerical methods such as Runge-Kutta approach and its variations, finite element methods, and so on. However, not much attention has been given to asymptotic methods for computation, although such approaches have been widely applied with great success in the analysis of dynamic systems. The presence of different scales in a dynamic phenomenon enable us to make judicious use of them in developing computational approaches which are highly efficient. Many such applications have been developed in such areas as astrodynamics, fluid mechanics and so on. This book presents a novel approach to make use of the different time constants inherent in the system to develop rapid computational methods. First, the fundamental notions of asymptotic analysis are presented with classical examples. Next, the novel systematic and rigorous approaches of system decomposition and reduced order models are presented. Next, the technique of multiple scales is discussed. Finally application to rapid computation of several aerospace systems is discussed, demonstrating the high efficiency of such methods.
Mathematical Theory Of Finite And Boundary Element Methods
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Author : Schatz
language : en
Publisher: Birkhäuser
Release Date : 2013-03-09
Mathematical Theory Of Finite And Boundary Element Methods written by Schatz and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Social Science categories.
These are the lecture notes of the seminar "Mathematische Theorie der finiten Element und Randelementmethoden" organized by the "Deutsche Mathematiker-Vereinigung" and held in Dusseldorf from 07. - 14. of June 1987. Finite element methods and the closely related boundary element methods nowadays belong to the standard routines for the computation of solutions to boundary and initial boundary value problems of partial differential equations with many applications as e.g. in elasticity and thermoelasticity, fluid mechanics, acoustics, electromagnetics, scatter ing and diffusion. These methods also stimulated the development of corresponding mathematical numerical analysis. I was very happy that A. Schatz and V. Thomee generously joined the adventure of the seminar and not only gave stimulating lectures but also spent so much time for personal discussion with all the participants. The seminar as well as these notes consist of three parts: 1. An Analysis of the Finite Element Method for Second Order Elliptic Boundary Value Problems by A. H. Schatz. II. On Finite Elements for Parabolic Problems by V. Thomee. III. I30undary Element Methods for Elliptic Problems by \V. L. Wendland. The prerequisites for reading this book are basic knowledge in partial differential equations (including pseudo-differential operators) and in numerical analysis. It was not our intention to present a comprehensive account of the research in this field, but rather to give an introduction and overview to the three different topics which shed some light on recent research.
The One Dimensional Heat Equation
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Author : John Rozier Cannon
language : en
Publisher: Cambridge University Press
Release Date : 1984-12-28
The One Dimensional Heat Equation written by John Rozier Cannon and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-12-28 with Mathematics categories.
This is a version of Gevrey's classical treatise on the heat equations. Included in this volume are discussions of initial and/or boundary value problems, numerical methods, free boundary problems and parameter determination problems. The material is presented as a monograph and/or information source book. After the first six chapters of standard classical material, each chapter is written as a self-contained unit except for an occasional reference to elementary definitions, theorems and lemmas in previous chapters.
Finite Element Methods
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Author : Michel Krizek
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Finite Element Methods written by Michel Krizek and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.
These proceedings originated from a conference commemorating the 50th anniversary of the publication of Richard Courant's seminal paper, Variational Methods for Problems of Equilibrium and Vibration. These papers address fundamental questions in numerical analysis and the special problems that occur in applying the finite element method to various
Mathematical Methods In Energy Research
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Author : Kenneth I. Gross
language : en
Publisher: SIAM
Release Date : 1984-01-01
Mathematical Methods In Energy Research written by Kenneth I. Gross and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-01-01 with Technology & Engineering categories.
Theory And Applications Of Singular Perturbations
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Author : W. Eckhaus
language : en
Publisher: Springer
Release Date : 2007-01-05
Theory And Applications Of Singular Perturbations written by W. Eckhaus and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-05 with Mathematics categories.