Numerical Solution of Field Problems in Continuum Physics

Numerical Solution of Field Problems in Continuum Physics PDF Author: Society for Industrial and Applied Mathematics
Publisher: American Mathematical Soc.
ISBN: 9780821813218
Category : Mathematics
Languages : en
Pages : 294

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Book Description

Numerical Solution of Field Problems in Continuum Physics

Numerical Solution of Field Problems in Continuum Physics PDF Author: Society for Industrial and Applied Mathematics
Publisher: American Mathematical Soc.
ISBN: 9780821813218
Category : Mathematics
Languages : en
Pages : 294

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Book Description


Numerical Solution of Elliptic Problems

Numerical Solution of Elliptic Problems PDF Author: Garrett Birkhoff
Publisher: SIAM
ISBN: 9781611970869
Category : Mathematics
Languages : en
Pages : 330

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Book Description
A study of the art and science of solving elliptic problems numerically, with an emphasis on problems that have important scientific and engineering applications, and that are solvable at moderate cost on computing machines.

The Numerical Solution of Elliptic Equations

The Numerical Solution of Elliptic Equations PDF Author: Garrett Birkhoff
Publisher: SIAM
ISBN: 9780898710014
Category : Mathematics
Languages : en
Pages : 100

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Book Description
A concise survey of the current state of knowledge in 1972 about solving elliptic boundary-value eigenvalue problems with the help of a computer. This volume provides a case study in scientific computing?the art of utilizing physical intuition, mathematical theorems and algorithms, and modern computer technology to construct and explore realistic models of problems arising in the natural sciences and engineering.

Numerical and Computer Methods in Structural Mechanics

Numerical and Computer Methods in Structural Mechanics PDF Author: Steven J. Fenves
Publisher: Elsevier
ISBN: 1483272540
Category : Technology & Engineering
Languages : en
Pages : 698

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Book Description
Numerical and Computer Methods in Structural Mechanics is a compendium of papers that deals with the numerical methods in structural mechanics, computer techniques, and computer capabilities. Some papers discus the analytical basis of the computer technique most widely used in software, that is, the finite element method. This method includes the convergence (in terms of variation principles) isoparametrics, hybrid models, and incompatible displacement models. Other papers explain the storage or retrieval of data, as well as equation-solving algorithms. Other papers describe general-purpose structural mechanics programs, alternatives to, and extension of the usual finite element approaches. Another paper explores nonlinear, dynamic finite element problems, and a direct physical approach to determine finite difference models. Special papers explain structural mechanics used in computing, particularly, those related to integrated data bases, such as in the Structures Oriented Exchange System of the Office of Naval Research and the integrated design of tanker structures. Other papers describe software and hardware capabilities, for example, in ship design, fracture mechanics, biomechanics, and crash safety. The text is suitable for programmers, computer engineers, researchers, and scientists involved in materials and industrial design.

Numerical Solution of Partial Differential Equations in Science and Engineering

Numerical Solution of Partial Differential Equations in Science and Engineering PDF Author: Leon Lapidus
Publisher: John Wiley & Sons
ISBN: 0471359440
Category : Mathematics
Languages : en
Pages : 710

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Book Description
From the reviews of Numerical Solution of Partial Differential Equations in Science and Engineering: "The book by Lapidus and Pinder is a very comprehensive, even exhaustive, survey of the subject . . . [It] is unique in that it covers equally finite difference and finite element methods." Burrelle's "The authors have selected an elementary (but not simplistic) mode of presentation. Many different computational schemes are described in great detail . . . Numerous practical examples and applications are described from beginning to the end, often with calculated results given." Mathematics of Computing "This volume . . . devotes its considerable number of pages to lucid developments of the methods [for solving partial differential equations] . . . the writing is very polished and I found it a pleasure to read!" Mathematics of Computation Of related interest . . . NUMERICAL ANALYSIS FOR APPLIED SCIENCE Myron B. Allen and Eli L. Isaacson. A modern, practical look at numerical analysis, this book guides readers through a broad selection of numerical methods, implementation, and basic theoretical results, with an emphasis on methods used in scientific computation involving differential equations. 1997 (0-471-55266-6) 512 pp. APPLIED MATHEMATICS Second Edition, J. David Logan. Presenting an easily accessible treatment of mathematical methods for scientists and engineers, this acclaimed work covers fluid mechanics and calculus of variations as well as more modern methods-dimensional analysis and scaling, nonlinear wave propagation, bifurcation, and singular perturbation. 1996 (0-471-16513-1) 496 pp.

Research in Progress

Research in Progress PDF Author:
Publisher:
ISBN:
Category : Military research
Languages : en
Pages : 746

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Book Description


Conference on the Numerical Solution of Differential Equations

Conference on the Numerical Solution of Differential Equations PDF Author: G.A. Watson
Publisher: Springer
ISBN: 3540379142
Category : Mathematics
Languages : en
Pages : 235

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Book Description


Numerical Methods in Electromagnetism

Numerical Methods in Electromagnetism PDF Author: M. V.K. Chari
Publisher: Academic Press
ISBN: 012615760X
Category : Mathematics
Languages : en
Pages : 783

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Book Description
Electromagnetics is the foundation of our electric technology. It describes the fundamental principles upon which electricity is generated and used. This includes electric machines, high voltage transmission, telecommunication, radar, and recording and digital computing. Numerical Methods in Electromagnetism will serve both as an introductory text for graduate students and as a reference book for professional engineers and researchers. This book leads the uninitiated into the realm of numerical methods for solving electromagnetic field problems by examples and illustrations. Detailed descriptions of advanced techniques are also included for the benefit of working engineers and research students. Comprehensive descriptions of numerical methods In-depth introduction to finite differences, finite elements, and integral equations Illustrations and applications of linear and nonlinear solutions for multi-dimensional analysis Numerical examples to facilitate understanding of the methods Appendices for quick reference of mathematical and numerical methods employed

The Mathematics of Reservoir Simulation

The Mathematics of Reservoir Simulation PDF Author: Richard E. Ewing
Publisher: SIAM
ISBN: 0898716624
Category : Science
Languages : en
Pages : 195

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Book Description
This book describes the state of the art of the mathematical theory and numerical analysis of imaging. Some of the applications covered in the book include computerized tomography, magnetic resonance imaging, emission tomography, electron microscopy, ultrasound transmission tomography, industrial tomography, seismic tomography, impedance tomography, and NIR imaging.

Selected Papers on Algebra and Topology by Garrett Birkhoff

Selected Papers on Algebra and Topology by Garrett Birkhoff PDF Author: J.S. Oliveira
Publisher: Springer Science & Business Media
ISBN: 9780817631147
Category : Science
Languages : en
Pages : 648

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Book Description
The present volume of reprints are what I consider to be my most interesting and influential papers on algebra and topology. To tie them together, and to place them in context, I have supplemented them by a series of brief essays sketching their historieal background (as I see it). In addition to these I have listed some subsequent papers by others which have further developed some of my key ideas. The papers on universal algebra, lattice theory, and general topology collected in the present volume concern ideas which have become familiar to all working mathematicians. It may be helpful to make them readily accessible in one volume. I have tried in the introduction to each part to state the most significant features of ea ch paper reprinted there, and to indieate later developments. The background that shaped and stimulated my early work on universal algebra, lattice theory, and topology may be of some interest. As a Harvard undergraduate in 1928-32, I was encouraged to do independent reading and to write an original thesis. My tutorial reading included de la Vallee-Poussin's beautiful Cours d'Analyse Infinitesimale, Hausdorff's Grundzüge der Mengenlehre, and Frechet's Espaces Abstraits. In addition, I discovered Caratheodory's 1912 paper "Vber das lineare Mass von Punktmengen" and Hausdorff's 1919 paper on "Dimension und Ausseres Mass," and derived much inspiration from them. A fragment of my thesis, analyzing axiom systems for separable metrizable spaces, was later published [2]. * This background led to the work summarized in Part IV.