Numerical Analysis in Modern Scientific Computing

Numerical Analysis in Modern Scientific Computing
Title Numerical Analysis in Modern Scientific Computing PDF eBook
Author Peter Deuflhard
Publisher Springer Science & Business Media
Pages 350
Release 2012-12-06
Genre Mathematics
ISBN 0387215840

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This book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. The presentation draws on geometrical intuition wherever appropriate and is supported by a large number of illustrations, exercises, and examples.

Numerical Methods in Scientific Computing

Numerical Methods in Scientific Computing
Title Numerical Methods in Scientific Computing PDF eBook
Author Germund Dahlquist
Publisher SIAM
Pages 742
Release 2008-01-01
Genre Mathematics
ISBN 0898717787

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This new book from the authors of the classic book Numerical methods addresses the increasingly important role of numerical methods in science and engineering. More cohesive and comprehensive than any other modern textbook in the field, it combines traditional and well-developed topics with other material that is rarely found in numerical analysis texts, such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions. Although this volume is self-contained, more comprehensive treatments of matrix computations will be given in a forthcoming volume. A supplementary Website contains three appendices: an introduction to matrix computations; a description of Mulprec, a MATLAB multiple precision package; and a guide to literature, algorithms, and software in numerical analysis. Review questions, problems, and computer exercises are also included. For use in an introductory graduate course in numerical analysis and for researchers who use numerical methods in science and engineering.

Classical and Modern Numerical Analysis

Classical and Modern Numerical Analysis
Title Classical and Modern Numerical Analysis PDF eBook
Author Azmy S. Ackleh
Publisher CRC Press
Pages 628
Release 2009-07-20
Genre Mathematics
ISBN 1420091581

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Classical and Modern Numerical Analysis: Theory, Methods and Practice provides a sound foundation in numerical analysis for more specialized topics, such as finite element theory, advanced numerical linear algebra, and optimization. It prepares graduate students for taking doctoral examinations in numerical analysis.The text covers the main areas o

Scientific Computing

Scientific Computing
Title Scientific Computing PDF eBook
Author Michael T. Heath
Publisher SIAM
Pages 587
Release 2018-11-14
Genre Science
ISBN 1611975573

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This book differs from traditional numerical analysis texts in that it focuses on the motivation and ideas behind the algorithms presented rather than on detailed analyses of them. It presents a broad overview of methods and software for solving mathematical problems arising in computational modeling and data analysis, including proper problem formulation, selection of effective solution algorithms, and interpretation of results.? In the 20 years since its original publication, the modern, fundamental perspective of this book has aged well, and it continues to be used in the classroom. This Classics edition has been updated to include pointers to Python software and the Chebfun package, expansions on barycentric formulation for Lagrange polynomial interpretation and stochastic methods, and the availability of about 100 interactive educational modules that dynamically illustrate the concepts and algorithms in the book. Scientific Computing: An Introductory Survey, Second Edition is intended as both a textbook and a reference for computationally oriented disciplines that need to solve mathematical problems.

Numerical Analysis and Scientific Computation

Numerical Analysis and Scientific Computation
Title Numerical Analysis and Scientific Computation PDF eBook
Author Jeffery J. Leader
Publisher Addison-Wesley Longman
Pages 0
Release 2004
Genre Numerical analysis
ISBN 9780201734997

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This text is intended for a first course in Numerical Analysis taken by students majoring in mathematics, engineering, computer science, and the sciences. This text emphasizes the mathematical ideas behind the methods and the idea of mixing methods for robustness. The optional use of MATLAB is incorporated throughout the text.

Scientific Computing with Ordinary Differential Equations

Scientific Computing with Ordinary Differential Equations
Title Scientific Computing with Ordinary Differential Equations PDF eBook
Author Peter Deuflhard
Publisher Springer Science & Business Media
Pages 498
Release 2012-12-06
Genre Mathematics
ISBN 0387215824

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Well-known authors; Includes topics and results that have previously not been covered in a book; Uses many interesting examples from science and engineering; Contains numerous homework exercises; Scientific computing is a hot and topical area

A First Course in Numerical Methods

A First Course in Numerical Methods
Title A First Course in Numerical Methods PDF eBook
Author Uri M. Ascher
Publisher SIAM
Pages 574
Release 2011-07-14
Genre Mathematics
ISBN 0898719976

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Offers students a practical knowledge of modern techniques in scientific computing.