Boundary Integral Equation Methods and Numerical Solutions, Christian Constanda; Dale Doty; William Hamill

Автор: LeVeque Randall J.
Название: Numerical Methods for Conservation Laws
ISBN: 3764327235 ISBN-13(EAN): 9783764327231
Издательство: Springer
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Описание: These notes were developed for a graduate-level course on the theory and numerical solution of nonlinear hyperbolic systems of conservation laws. Part I deals with the basic mathematical theory of the equations: the notion of weak solutions, entropy conditions, and a detailed description of the wave structure of solutions to the Riemann problem. The emphasis is on tools and techniques that are indispensable in developing good numerical methods for discontinuous solutions. Part II is devoted to the development of high resolution shock-capturing methods, including the theory of total variation diminishing (TVD) methods and the use of limiter functions. The book is intended for a wide audience, and will be of use both to numerical analysts and to computational researchers in a variety of applications.

Автор: Hackbusch Wolfgang
Название: Integral Equations / Theory and Numerical Treatment
ISBN: 3764328711 ISBN-13(EAN): 9783764328719
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Описание: Volterra and Fredholm integral equations form the domain of this book. Special chapters are devoted to Abel's integral equations and the singular integral equation with the Cauchy kernel; others focus on the integral equation method and the boundary element method (BEM). While a small section affords some theoretical grounding in integral equations (covering existence, regularity, etc.), the larger part of the book is devoted to a description and analysis of the discretisation methods (Galerkin / collocation / NystrГ¶m). Also the multigrid method for the solution of discrete equations is analysed. The most prominent application of integral equations occurs in the use of the boundary element method, which here is discussed from the numerical point of view in particular. New results about numerical integration and the panel clustering technique are included. Many chapters have an introductory character, while special subsections give more advanced information. Intended readers are students of mathematics as well as postgraduates.

Автор: Epperson
Название: Solutions Manual to Accompany An Introduction to Numerical Methods and Analysis, Second Edition
ISBN: 1118395131 ISBN-13(EAN): 9781118395134
Издательство: Wiley
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Описание: A solutions manual to accompany An Introduction toNumerical Methods and Analysis, Second Edition An Introduction to Numerical Methods and Analysis, SecondEdition reflects the latest trends in the field, includesnew material and revised exercises, and offers a unique emphasis onapplications.

Автор: E.V. Vorozhtsov; N.N. Yanenko
Название: Methods for the Localization of Singularities in Numerical Solutions of Gas Dynamics Problems
ISBN: 3642647707 ISBN-13(EAN): 9783642647703
Издательство: Springer
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Описание: As a result of the numerical simulation of multidimensional gas dynamics problems on a computer, the output information is obtained in the form of immense arrays of numerical data.

Автор: VEITTAANM?KI
Название: Numerical Methods for Free Boundary Problems
ISBN: 3034857179 ISBN-13(EAN): 9783034857178
Издательство: Springer
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Описание: About 80 participants from 16 countries attended the Conference on Numerical Methods for Free Boundary Problems, held at the University of Jyviiskylii, Finland, July 23-27, 1990.

Автор: R.S. Anderssen; A.A. Ivanov; D. Elliott
Название: The Theory of Approximate Methods and Their Applications to the Numerical Solution of Singular Integral Equations
ISBN: 9028600361 ISBN-13(EAN): 9789028600362
Издательство: Springer
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Автор: Olaf Steinbach
Название: Numerical Approximation Methods for Elliptic Boundary Value Problems
ISBN: 1441921737 ISBN-13(EAN): 9781441921734
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Автор: R.S. Anderssen; A.A. Ivanov; D. Elliott
Название: The Theory of Approximate Methods and Their Applications to the Numerical Solution of Singular Integral Equations
ISBN: 9048184622 ISBN-13(EAN): 9789048184620
Издательство: Springer
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Автор: D. B. Ingham; M. A. Kelmanson
Название: Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems
ISBN: 3540136460 ISBN-13(EAN): 9783540136460
Издательство: Springer
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Описание: Harmonic and biharmonic boundary value problems (BVP) arising in physical situations in fluid mechanics are, in general, intractable by analytic techniques.

Автор: Luigi Morino; Wolfgang L. Wendland
Название: IABEM Symposium on Boundary Integral Methods for Nonlinear Problems
ISBN: 9401064067 ISBN-13(EAN): 9789401064064
Издательство: Springer
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Описание: Proceedings of the IABEM Symposium held in Pontignano, Italy, May 28-June 3, 1995

Автор: Kiusalaas
Название: Numerical Methods in Engineering with MATLAB
ISBN: 1107120578 ISBN-13(EAN): 9781107120570
Издательство: Cambridge Academ
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Описание: The third edition of this text describes a range of widely used numerical methods, with an emphasis on problem solving. Every method is discussed thoroughly and illustrated with problems involving both hand computation and programming. MATLAB (R) M-files accompany each method and are available online, as are solutions to the problems.

Автор: Tatsien Li; Yongji Tan; Zhijie Cai; Wei Chen; Jing
Название: Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions
ISBN: 3642414249 ISBN-13(EAN): 9783642414244
Издательство: Springer
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Описание: This monograph, the first of its kind on the mathematical model of spontaneous potential well-logging, proves the well-posedness of the model, and proposes three efficient schemes of numerical solution, supported by a number of numerical examples.