Modern Modeling of Continuum Phenomena

Modern Modeling of Continuum Phenomena PDF Author: Richard C. DiPrima
Publisher: American Mathematical Soc.
ISBN: 9780821811160
Category : Science
Languages : en
Pages : 251

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Modern Modeling of Continuum Phenomena

Modern Modeling of Continuum Phenomena PDF Author: Richard C. DiPrima
Publisher: American Mathematical Soc.
ISBN: 9780821811160
Category : Science
Languages : en
Pages : 251

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Book Description


NBS Special Publication

NBS Special Publication PDF Author:
Publisher:
ISBN:
Category : Weights and measures
Languages : en
Pages : 786

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Introduction to Continuum Mechanics for Engineers

Introduction to Continuum Mechanics for Engineers PDF Author: Ray M. Bowen
Publisher:
ISBN: 9780486474601
Category : Continuum mechanics
Languages : en
Pages : 0

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Book Description
This self-contained graduate-level text introduces classical continuum models within a modern framework. Its numerous exercises illustrate the governing principles, linearizations, and other approximations that constitute classical continuum models. Starting with an overview of one-dimensional continuum mechanics, the text advances to examinations of the kinematics of motion, the governing equations of balance, and the entropy inequality for a continuum. The main portion of the book involves models of material behavior and presents complete formulations of various general continuum models. The final chapter contains an introductory discussion of materials with internal state variables. Two substantial appendixes cover all of the mathematical background necessary to understand the text as well as results of representation theorems. Suitable for independent study, this volume features 280 exercises and 170 references.

na

na PDF Author: Alexandre Joel Chorin
Publisher: Springer Science & Business Media
ISBN: 1441910034
Category :
Languages : en
Pages : 168

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Modeling Materials

Modeling Materials PDF Author: Ellad B. Tadmor
Publisher: Cambridge University Press
ISBN: 1139500651
Category : Science
Languages : en
Pages : 789

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Book Description
Material properties emerge from phenomena on scales ranging from Angstroms to millimeters, and only a multiscale treatment can provide a complete understanding. Materials researchers must therefore understand fundamental concepts and techniques from different fields, and these are presented in a comprehensive and integrated fashion for the first time in this book. Incorporating continuum mechanics, quantum mechanics, statistical mechanics, atomistic simulations and multiscale techniques, the book explains many of the key theoretical ideas behind multiscale modeling. Classical topics are blended with new techniques to demonstrate the connections between different fields and highlight current research trends. Example applications drawn from modern research on the thermo-mechanical properties of crystalline solids are used as a unifying focus throughout the text. Together with its companion book, Continuum Mechanics and Thermodynamics (Cambridge University Press, 2011), this work presents the complete fundamentals of materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.

Stochastic Tools in Mathematics and Science

Stochastic Tools in Mathematics and Science PDF Author: Alexandre J Chorin
Publisher: Springer Science & Business Media
ISBN: 9780387280806
Category : Mathematics
Languages : en
Pages : 164

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Book Description
This introduction to probability-based modeling covers basic stochastic tools used in physics, chemistry, engineering and the life sciences. Topics covered include conditional expectations, stochastic processes, Langevin equations, and Markov chain Monte Carlo algorithms. The applications include data assimilation, prediction from partial data, spectral analysis and turbulence. A special feature is the systematic analysis of memory effects.

Equadiff 82

Equadiff 82 PDF Author: H. W. Knobloch
Publisher: Springer
ISBN: 3540386785
Category : Mathematics
Languages : en
Pages : 693

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Book Description


Computational Solution of Nonlinear Systems of Equations

Computational Solution of Nonlinear Systems of Equations PDF Author: Eugene L. Allgower
Publisher: American Mathematical Soc.
ISBN: 9780821896945
Category : Mathematics
Languages : en
Pages : 788

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Book Description
Nonlinear equations arise in essentially every branch of modern science, engineering, and mathematics. However, in only a very few special cases is it possible to obtain useful solutions to nonlinear equations via analytical calculations. As a result, many scientists resort to computational methods. This book contains the proceedings of the Joint AMS-SIAM Summer Seminar, ``Computational Solution of Nonlinear Systems of Equations,'' held in July 1988 at Colorado State University. The aim of the book is to give a wide-ranging survey of essentially all of the methods which comprise currently active areas of research in the computational solution of systems of nonlinear equations. A number of ``entry-level'' survey papers were solicited, and a series of test problems has been collected in an appendix. Most of the articles are accessible to students who have had a course in numerical analysis.

Nonlinear Systems of Partial Differential Equations in Applied Mathematics

Nonlinear Systems of Partial Differential Equations in Applied Mathematics PDF Author: Basil Nicolaenko
Publisher: American Mathematical Soc.
ISBN: 9780821896891
Category : Mathematics
Languages : en
Pages : 490

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Book Description
These two volumes of 47 papers focus on the increased interplay of theoretical advances in nonlinear hyperbolic systems, completely integrable systems, and evolutionary systems of nonlinear partial differential equations. The papers both survey recent results and indicate future research trends in these vital and rapidly developing branches of PDEs. The editor has grouped the papers loosely into the following five sections: integrable systems, hyperbolic systems, variational problems, evolutionary systems, and dispersive systems. However, the variety of the subjects discussed as well as their many interwoven trends demonstrate that it is through interactive advances that such rapid progress has occurred. These papers require a good background in partial differential equations. Many of the contributors are mathematical physicists, and the papers are addressed to mathematical physicists (particularly in perturbed integrable systems), as well as to PDE specialists and applied mathematicians in general.

Modern Modeling of Continuum Phenomena

Modern Modeling of Continuum Phenomena PDF Author: Richard C. DiPrima
Publisher: American Mathematical Soc.
ISBN: 9780821896846
Category : Science
Languages : en
Pages : 266

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Book Description