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An introduction to numerical analysis
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ISBN: 0471624896 9780471624899 Year: 1989 Publisher: New York (N.Y.) : Wiley,

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An introduction to numerical analysis
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ISBN: 0471500232 9780471500230 Year: 1989 Publisher: New York (N.Y.): Wiley


Book
The numerical solution of integral equations of the second kind
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ISBN: 0511626347 Year: 1997 Publisher: Cambridge : Cambridge University Press,

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This book provides an extensive introduction to the numerical solution of a large class of integral equations. The initial chapters provide a general framework for the numerical analysis of Fredholm integral equations of the second kind, covering degenerate kernel, projection and Nystrom methods. Additional discussions of multivariable integral equations and iteration methods update the reader on the present state of the art in this area. The final chapters focus on the numerical solution of boundary integral equation (BIE) reformulations of Laplace's equation, in both two and three dimensions. Two chapters are devoted to planar BIE problems, which include both existing methods and remaining questions. Practical problems for BIE such as the set up and solution of the discretised BIE are also discussed. Each chapter concludes with a discussion of the literature and a large bibliography serves as an extended resource for students and researchers needing more information on solving particular integral equations.


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A survey of numerical methods for the solution of Fredholm integral equations of the second kind
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Year: 1976 Publisher: Philadelphia, Pa Society for Industrial and Applied Mathematics

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A survey of numerical methods for the solution of Fredholm integral equations of the second kind
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Year: 1976 Publisher: Philadelphia (Pa.): Society for industrial and applied mathematics

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Theoretical Numerical Analysis : A Functional Analysis Framework
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ISBN: 9781441904584 Year: 2009 Publisher: New York, NY Springer-Verlag New York

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Theoretical numerical analysis : a functional analysis framework : mathematical models of science
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ISBN: 0387951423 1468493019 1280187409 0387215263 9786610187409 9780387951423 Year: 2000 Volume: 39 Publisher: New York : Springer,


Book
Theoretical Numerical Analysis : A Functional Analysis Framework
Authors: --- ---
ISBN: 9781441904584 Year: 2009 Publisher: New York NY Springer New York

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This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic results of functional analysis, approximation theory, Fourier analysis and wavelets, iteration methods for nonlinear equations, finite difference methods, Sobolev spaces and weak formulations of boundary value problems, finite element methods, elliptic variational inequalities and their numerical solution, numerical methods for solving integral equations of the second kind, boundary integral equations for planar regions, and multivariable polynomial approximations. The presentation of each topic is meant to be an introduction with certain degree of depth. Comprehensive references on a particular topic are listed at the end of each chapter for further reading and study. In this third edition, a new chapter, Multivariable Polynomial Approximations, is included, numerous changes are made throughout the entire text, and new exercises are added. Review of earlier edition: "...the book is clearly written, quite pleasant to read, and contains a lot of important material; and the authors have done an excellent job at balancing theoretical developments, interesting examples and exercises, numerical experiments, and bibliographical references." R. Glowinski, SIAM Review, 2003


Book
Numerical solution of ordinary differential equations
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ISBN: 047004294X 9780470042946 Year: 2009 Publisher: Hoboken (N.J.) : Wiley,

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