Numerical Solution of Partial Differential Equations—III, SYNSPADE 1975

Numerical Solution of Partial Differential Equations—III, SYNSPADE 1975 PDF Author: Bert Hubbard
Publisher: Academic Press
ISBN: 1483262367
Category : Mathematics
Languages : en
Pages : 510

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Book Description
Numerical Solution of Partial Differential Equations—III: Synspade 1975 provides information pertinent to those difficult problems in partial differential equations exhibiting some type of singular behavior. This book covers a variety of topics, including the mathematical models and their relation to experiment as well as the behavior of solutions of the partial differential equations involved. Organized into 16 chapters, this book begins with an overview of elastodynamic results for stress intensity factors of a bifurcating crack. This text then discusses the effects of nonlinearities, such as bifurcation, which occur in problems of nonlinear mechanics. Other chapters consider the equations of changing type and those with rapidly oscillating coefficients. This book discusses as well the effective computational methods for numerical solutions. The final chapter deals with the principal results on G-convergence, such as the convergence of the Green's operators for Dirichlet's and other boundary problems. This book is a valuable resource for engineers and mathematicians.

Numerical Solution of Partial Differential Equations—III, SYNSPADE 1975

Numerical Solution of Partial Differential Equations—III, SYNSPADE 1975 PDF Author: Bert Hubbard
Publisher: Academic Press
ISBN: 1483262367
Category : Mathematics
Languages : en
Pages : 510

Get Book Here

Book Description
Numerical Solution of Partial Differential Equations—III: Synspade 1975 provides information pertinent to those difficult problems in partial differential equations exhibiting some type of singular behavior. This book covers a variety of topics, including the mathematical models and their relation to experiment as well as the behavior of solutions of the partial differential equations involved. Organized into 16 chapters, this book begins with an overview of elastodynamic results for stress intensity factors of a bifurcating crack. This text then discusses the effects of nonlinearities, such as bifurcation, which occur in problems of nonlinear mechanics. Other chapters consider the equations of changing type and those with rapidly oscillating coefficients. This book discusses as well the effective computational methods for numerical solutions. The final chapter deals with the principal results on G-convergence, such as the convergence of the Green's operators for Dirichlet's and other boundary problems. This book is a valuable resource for engineers and mathematicians.

Numerical Approximation of Partial Differential Equations

Numerical Approximation of Partial Differential Equations PDF Author: E.L. Ortiz
Publisher: Elsevier
ISBN: 0080872441
Category : Computers
Languages : en
Pages : 447

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Book Description
This selection of papers is concerned with problems arising in the numerical solution of differential equations, with an emphasis on partial differential equations. There is a balance between theoretical studies of approximation processes, the analysis of specific numerical techniques and the discussion of their application to concrete problems relevant to engineering and science. Special consideration has been given to innovative numerical techniques and to the treatment of three-dimensional and singular problems. These topics are discussed in several of the invited papers.The contributed papers are divided into five parts: techniques of approximation theory which are basic to the numerical treatment of differential equations; numerical techniques based on discrete processes; innovative methods based on polynomial and rational approximation; variational inequalities, conformal transformation and asymptotic techniques; and applications of differential equations to problems in science and engineering.

Energy Research Abstracts

Energy Research Abstracts PDF Author:
Publisher:
ISBN:
Category : Power resources
Languages : en
Pages : 492

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Book Description


ERDA Energy Research Abstracts

ERDA Energy Research Abstracts PDF Author:
Publisher:
ISBN:
Category : Power resources
Languages : en
Pages : 1048

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Book Description


Adaptive Methods for Partial Differential Equations

Adaptive Methods for Partial Differential Equations PDF Author: Ivo Babushka
Publisher: SIAM
ISBN: 9780898712421
Category : Mathematics
Languages : en
Pages : 382

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Book Description
"Proceedings of the Workshop on Adaptive Computational Methods for Partial Differential Equations, Rensselaer Polytechnic Institute, October 13-15, 1988"--T.p. verso.

Contemporary Developments in Continuum Mechanics and Partial Differential Equations

Contemporary Developments in Continuum Mechanics and Partial Differential Equations PDF Author:
Publisher: Elsevier
ISBN: 0080871410
Category : Mathematics
Languages : en
Pages : 623

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Book Description
Contemporary Developments in Continuum Mechanics and Partial Differential Equations

Mathematical Analysis and Numerical Methods for Science and Technology

Mathematical Analysis and Numerical Methods for Science and Technology PDF Author: Robert Dautray
Publisher: Springer Science & Business Media
ISBN: 3642615317
Category : Mathematics
Languages : en
Pages : 503

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Book Description
The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. The objective of the present work is to compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form.

Computing Methods in Applied Sciences and Engineering, 1977. Third International Symposium, December 5-9, 1977, IRIA LABORIA, Institut de Recherche d`Informatique et d`Automatique

Computing Methods in Applied Sciences and Engineering, 1977. Third International Symposium, December 5-9, 1977, IRIA LABORIA, Institut de Recherche d`Informatique et d`Automatique PDF Author: R. Glowinski
Publisher: Springer
ISBN: 3540354115
Category : Mathematics
Languages : en
Pages : 386

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Book Description


The Finite Element Method for Elliptic Problems

The Finite Element Method for Elliptic Problems PDF Author: P.G. Ciarlet
Publisher: Elsevier
ISBN: 0080875254
Category : Mathematics
Languages : en
Pages : 551

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Book Description
The objective of this book is to analyze within reasonable limits (it is not a treatise) the basic mathematical aspects of the finite element method. The book should also serve as an introduction to current research on this subject. On the one hand, it is also intended to be a working textbook for advanced courses in Numerical Analysis, as typically taught in graduate courses in American and French universities. For example, it is the author's experience that a one-semester course (on a three-hour per week basis) can be taught from Chapters 1, 2 and 3 (with the exception of Section 3.3), while another one-semester course can be taught from Chapters 4 and 6. On the other hand, it is hoped that this book will prove to be useful for researchers interested in advanced aspects of the numerical analysis of the finite element method. In this respect, Section 3.3, Chapters 5, 7 and 8, and the sections on "Additional Bibliography and Comments should provide many suggestions for conducting seminars.

Optimal Control Problems for Partial Differential Equations on Reticulated Domains

Optimal Control Problems for Partial Differential Equations on Reticulated Domains PDF Author: Peter I. Kogut
Publisher: Springer Science & Business Media
ISBN: 0817681493
Category : Science
Languages : en
Pages : 639

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Book Description
In the development of optimal control, the complexity of the systems to which it is applied has increased significantly, becoming an issue in scientific computing. In order to carry out model-reduction on these systems, the authors of this work have developed a method based on asymptotic analysis. Moving from abstract explanations to examples and applications with a focus on structural network problems, they aim at combining techniques of homogenization and approximation. Optimal Control Problems for Partial Differential Equations on Reticulated Domains is an excellent reference tool for graduate students, researchers, and practitioners in mathematics and areas of engineering involving reticulated domains.