Numerical Analysis for Applied Science
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Numerical Analysis for Applied Science

Numerical Analysis for Applied Science

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About the Book

Maintaining the clear writing style and effective pedagogical approach of the prior edition, the Second Edition features new coverage on many topics, including preconditioning, kriging methods designed for stochastic data, interpolation in two and three dimensions, steady-state problems, and finite difference methods for variable-coefficient elliptic equations. This new edition also presents expanded coverage on both the finite-element method and multigrid methods. The authors present an introduction to numerical analysis and numerical methods and discuss the various applications within the fields of applied mathematics, engineering, and the physical and life sciences. Including an in-depth exploration of the basic theoretical results and proofs in numerical analysis, this book combines theory and practice and provides a broad selection of current numerical methods that specifically emphasize scientific computation involving differential equations. This new edition provides updated coverage of topics often omitted in similar titles at this level, which includes multidimensional interpolation, Quasi-Newton methods, multigrid method, QR methods of eigenvalues, finite elements, and partial differential equations. A section on useful tools such as bounded sets, normed linear spaces, and calculus results is provided, and the necessary background material needed for studying numerical analysis is presented. In addition, this book uniquely introduces the motivation and construction behind these numerical methods in order to explain the types of problems being addressed and the heuristic ideas behind the concepts. Practical considerations are included to facilitate the translation of concepts into computer code, and the presented mathematical analysis establishes the underlying theory and analytic techniques commonly used to prove numerical methods. This book also details the advanced theory and complexity behind these topics with references for further study.


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Product Details
  • ISBN-13: 9781119245575
  • Publisher: John Wiley & Sons Inc
  • Binding: Digital (delivered electronically)
  • Language: English
  • ISBN-10: 1119245575
  • Publisher Date: 15 Mar 2019
  • Edition: Revised edition
  • No of Pages: 608


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