Numerical Methods For Problems In Infinite Domains

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Numerical Methods For Problems In Infinite Domains

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Author : D. Givoli
language : en
Publisher: Elsevier
Release Date : 2013-10-22

Numerical Methods For Problems In Infinite Domains written by D. Givoli and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Mathematics categories.

This volume reviews and discusses the main numerical methods used today for solving problems in infinite domains. It also presents in detail one very effective method in this class, namely the Dirichlet-to-Neumann (DtN) finite element method. The book is intended to provide the researcher or engineer with the state-of-the-art in numerical solution methods for infinite domain problems, such as the problems encountered in acoustics and structural acoustics, fluid dynamics, meteorology, and many other fields of application. The emphasis is on the fundamentals of the various methods, and on reporting recent progress and forecasting future directions. An appendix at the end of the book provides an introduction to the essentials of the finite element method, and suggests a short list of texts on the subject which are categorized by their level of mathematics.

Time Dependent Problems And Difference Methods

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Author : Bertil Gustafsson
language : en
Publisher: John Wiley & Sons
Release Date : 2013-07-18

Time Dependent Problems And Difference Methods written by Bertil Gustafsson and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-18 with Mathematics categories.

Praise for the First Edition ". . . fills a considerable gap in the numerical analysis literature by providing a self-contained treatment . . . this is an important work written in a clear style . . . warmly recommended to any graduate student or researcher in the field of the numerical solution of partial differential equations." —SIAM Review Time-Dependent Problems and Difference Methods, Second Edition continues to provide guidance for the analysis of difference methods for computing approximate solutions to partial differential equations for time-dependent problems. The book treats differential equations and difference methods with a parallel development, thus achieving a more useful analysis of numerical methods. The Second Edition presents hyperbolic equations in great detail as well as new coverage on second-order systems of wave equations including acoustic waves, elastic waves, and Einstein equations. Compared to first-order hyperbolic systems, initial-boundary value problems for such systems contain new properties that must be taken into account when analyzing stability. Featuring the latest material in partial differential equations with new theorems, examples, and illustrations,Time-Dependent Problems and Difference Methods, Second Edition also includes: High order methods on staggered grids Extended treatment of Summation By Parts operators and their application to second-order derivatives Simplified presentation of certain parts and proofs Time-Dependent Problems and Difference Methods, Second Edition is an ideal reference for physical scientists, engineers, numerical analysts, and mathematical modelers who use numerical experiments to test designs and to predict and investigate physical phenomena. The book is also excellent for graduate-level courses in applied mathematics and scientific computations.

Iutam Symposium On Computational Methods For Unbounded Domains

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Author : Thomas L. Geers
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Iutam Symposium On Computational Methods For Unbounded Domains written by Thomas L. Geers 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 2013-03-09 with Technology & Engineering categories.

During 27-31 July 1997, thirty-seven researchers in acoustics, aeronautics, elastodynamics, electromagnetics, hydrodynamics and mathematics participated in a Symposium on Computa tional Methods for Unbounded Domains. The symposium was sponsored by the International Union of Theoretical and Applied Mechanics and was held at the University of Colorado in the United States of America. The symposium was opened by Dr. Richard Byyny, Chancellor of the University's Boulder Campus, who concluded his remarks by reading a letter from Professor Bruno A. Boley, JUT AM Representative on the Scientific Committee. Thirty-three papers were presented. About two-thirds of these focused on the classical wave equation of acoustics; however, three papers dealt with hydrodynamic surface waves, two with electromagnetic waves, three with elastodynamic waves, and four with waves in aero dynamics. Approximately two-thirds of the papers addressed steady-state problems, with the rest treating problems in the time domain. Extended abstracts of the papers appear in this volume, arranged in alphabetical order according to the last name of the presenting author. A key unifying aspect of the symposium was the creation of four working groups that labored in parallel to formulate benchmark problems for evaluating computational boundaries. The working groups reviewed the papers presented each day, searching for benchmark candidates. Then they considered other possibilites and organized the ensemble into logical categories. At the end of the symposium, each group presented its benchmark candidates to the assembly of participants, which subsequently made a preliminary consolidation of the benchmarks.

Absorbing Boundaries And Layers Domain Decomposition Methods

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Author : L. Tourrette
language : en
Publisher: Nova Publishers
Release Date : 2001

Absorbing Boundaries And Layers Domain Decomposition Methods written by L. Tourrette and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

CD-ROM contains: Sections omitted from printing of text.

Acoustic Interactions With Submerged Elastic Structures Part Iv Nondestructive Testing Acoustic Wave Propagation And Scattering

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Author : Anders Bostrom
language : en
Publisher: World Scientific
Release Date : 2002-07-09

Acoustic Interactions With Submerged Elastic Structures Part Iv Nondestructive Testing Acoustic Wave Propagation And Scattering written by Anders Bostrom and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-07-09 with Science categories.

This series of volumes constitutes an outstanding collection of contributions by the most active research workers in the area of acoustics and mechanics. It brings the reader up to date on the status of the various aspects of research in this field. The volumes should preserve their value for a long time, as they represent a monument to the achievements of human research capabilities in the underwater-acoustics aspects of the environment.

Combined Methods For Elliptic Equations With Singularities Interfaces And Infinities

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Author : Zi Cai Li
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Combined Methods For Elliptic Equations With Singularities Interfaces And Infinities written by Zi Cai Li 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 2013-12-01 with Mathematics categories.

In this book the author sets out to answer two important questions: 1. Which numerical methods may be combined together? 2. How can different numerical methods be matched together? In doing so the author presents a number of useful combinations, for instance, the combination of various FEMs, the combinations of FEM-FDM, REM-FEM, RGM-FDM, etc. The combined methods have many advantages over single methods: high accuracy of solutions, less CPU time, less computer storage, easy coupling with singularities as well as the complicated boundary conditions. Since coupling techniques are essential to combinations, various matching strategies among different methods are carefully discussed. The author provides the matching rules so that optimal convergence, even superconvergence, and optimal stability can be achieved, and also warns of the matching pitfalls to avoid. Audience: The book is intended for both mathematicians and engineers and may be used as text for advanced students.

Spatial Contact Problems In Geotechnics

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Author : Sergey Aleynikov
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-10

Spatial Contact Problems In Geotechnics written by Sergey Aleynikov 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 2010-11-10 with Technology & Engineering categories.

This book presents a systematic approach to numerical solution for a wide range of spatial contact problems of geotechnics. On the basis of the boundary element method new techniques and effective computing algorithms are considered. Special attention is given to the formulation and analysis of the spatial contact models for elastic bases. Besides the classical schemes of contact deformation, new contact models are discussed for spatially nonhomogeneous and nonlinearly elastic media properly describing soil properties.

Developments In Dynamic Soil Structure Interaction

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Author : Polat Gülkan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Developments In Dynamic Soil Structure Interaction written by Polat Gülkan 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 Science categories.

For the last couple of decades it has been recognized that the foundation material on which a structure is constructed may interact dynamically with the structure during its response to dynamic excitation to the extent that the stresses and deflections in the system are modified from the values that would have been developed if it had been on a rigid foundation. This phenomenon is examined in detail in the book. The basic solutions are examined in time and frequency domains and finite element and boundary element solutions compared. Experimental investigations aimed at correlation and verification with theory are described in detail. A wide variety of SSI problems may be formulated and solved approximately using simplified models in lieu of rigorous procedures; the book gives a good overview of these methods. A feature which often lacks in other texts on the subject is the way in which dynamic behavior of soil can be modeled. Two contributors have addressed this problem from the computational and physical characterization viewpoints. The book illustrates practical areas with the analysis of tunnel linings and stiffness and damping of pile groups. Finally, design code provisions and derivation of design input motions complete this thorough overview of SSI in conventional engineering practice. Taken in its entirety the book, authored by fifteen well known experts, gives an in-depth review of soil-structure interaction across a broad spectrum of aspects usually not covered in a single volume. It should be a readily useable reference for the research worker as well as the advance level practitioner. (abstract) This book treats the dynamic soil-structure interaction phenomenon across a broad spectrum of aspects ranging from basic theory, simplified and rigorous solution techniques and their comparisons as well as successes in predicting experimentally recorded measurements. Dynamic soil behavior and practical problems are given thorough coverage. It is intended to serve both as a readily understandable reference work for the researcher and the advanced-level practitioner.

Applied Mechanics Reviews

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Author :
language : en
Publisher:
Release Date : 1970

Applied Mechanics 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 1970 with Mechanics, Applied categories.

Methods Of Optimization And Systems Analysis For Problems Of Transcomputational Complexity

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Author : Ivan V. Sergienko
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-07-27

Methods Of Optimization And Systems Analysis For Problems Of Transcomputational Complexity written by Ivan V. Sergienko 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 2012-07-27 with Mathematics categories.

This work presents lines of investigation and scientific achievements of the Ukrainian school of optimization theory and adjacent disciplines. These include the development of approaches to mathematical theories, methodologies, methods, and application systems for the solution of applied problems in economy, finances, energy saving, agriculture, biology, genetics, environmental protection, hardware and software engineering, information protection, decision making, pattern recognition, self-adapting control of complicated objects, personnel training, etc. The methods developed include sequential analysis of variants, nondifferential optimization, stochastic optimization, discrete optimization, mathematical modeling, econometric modeling, solution of extremum problems on graphs, construction of discrete images and combinatorial recognition, etc. Some of these methods became well known in the world's mathematical community and are now known as classic methods.