Scientific computing with MATLAB and Octave

書誌事項

Scientific computing with MATLAB and Octave

Alfio Quarteroni, Fausto Saleri, Paola Gervasio

(Texts in computational science and engineering, 2)

Springer Berlin, c2014

4th ed

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注記

Includes bibliographical references and index

"Softcover reprint of the hardcover 4th edition 2014" -- t.p.verso

内容説明・目次

内容説明

This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer-based solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros, the extrema, and the integrals of continuous functions, solve linear systems, approximate functions using polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make the format concrete and appealing, the programming environments Matlab and Octave are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from important applications. At the end of each chapter, a specific section is devoted to subjects which were not addressed in the book and contains bibliographical references for a more comprehensive treatment of the material. From the review: ".... This carefully written textbook, the third English edition, contains substantial new developments on the numerical solution of differential equations. It is typeset in a two-color design and is written in a style suited for readers who have mathematics, natural sciences, computer sciences or economics as a background and who are interested in a well-organized introduction to the subject." Roberto Plato (Siegen), Zentralblatt MATH 1205.65002.

目次

1. What can' t be ignored.- 2. Nonlinear equations.- 3. Approximation of functions and data.- 4. Numerical differentiation and integration.- 5. Linear systems.- 6. Eigenvalues and eigenvectors.- 7. Numerical optimization.- 8. Ordinary differential equations.- 9. Numerical approximation of boundary-value problems.- 10. Solutions of the exercises.- References.- Index.

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詳細情報

  • NII書誌ID(NCID)
    BC04936869
  • ISBN
    • 9783662517581
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Berlin
  • ページ数/冊数
    xviii, 442 p.
  • 大きさ
    24 cm
  • 件名
  • 親書誌ID
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