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Scientific Computing - An Introduction using Maple and MATLAB

  • Textbook
  • © 2014

Overview

Authors:
  1. Walter Gander

    1. Departement Informatik, ETH Zürich, Zürich, Switzerland

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  2. Martin J. Gander

    1. Section de Mathématiques, Université de Genève, Genève, Switzerland

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    You can also search for this author in PubMed   Google Scholar

  3. Felix Kwok

    1. Section de Mathématiques, Université de Genève, Genève, Switzerland

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  • Equal emphasis on theory, symbolic computation and numerical algorithms
  • Numerous complete, ready-to-run programs in Matlab and Maple, complete with many examples
  • In-depth treatment of many advanced topics, beyond standard undergraduate texts
  • Includes supplementary material: sn.pub/extras

Part of the book series: Texts in Computational Science and Engineering (TCSE, volume 11)

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Table of contents (12 chapters)

  1. Front Matter

    Pages I-XVIII
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  2. Why Study Scientific Computing?

    • Walter Gander, Martin J. Gander, Felix Kwok
    Pages 1-8

  3. Finite Precision Arithmetic

    • Walter Gander, Martin J. Gander, Felix Kwok
    Pages 9-60

  4. Linear Systems of Equations

    • Walter Gander, Martin J. Gander, Felix Kwok
    Pages 61-112

  5. Interpolation

    • Walter Gander, Martin J. Gander, Felix Kwok
    Pages 113-179

  6. Nonlinear Equations

    • Walter Gander, Martin J. Gander, Felix Kwok
    Pages 181-259

  7. Least Squares Problems

    • Walter Gander, Martin J. Gander, Felix Kwok
    Pages 261-385

  8. Eigenvalue Problems

    • Walter Gander, Martin J. Gander, Felix Kwok
    Pages 387-486

  9. Differentiation

    • Walter Gander, Martin J. Gander, Felix Kwok
    Pages 487-515

  10. Quadrature

    • Walter Gander, Martin J. Gander, Felix Kwok
    Pages 517-582

  11. Numerical Ordinary Differential Equations

    • Walter Gander, Martin J. Gander, Felix Kwok
    Pages 583-671

  12. Iterative Methods for Linear Systems

    • Walter Gander, Martin J. Gander, Felix Kwok
    Pages 673-815

  13. Optimization

    • Walter Gander, Martin J. Gander, Felix Kwok
    Pages 817-886

  14. Back Matter

    Pages 887-914
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Keywords

About this book

Scientific computing is the study of how to use computers effectively to solve problems that arise from the mathematical modeling of phenomena in science and engineering. It is based on mathematics, numerical and symbolic/algebraic computations and visualization. This book serves as an introduction to both the theory and practice of scientific computing, with each chapter presenting the basic algorithms that serve as the workhorses of many scientific codes; we explain both the theory behind these algorithms and how they must be implemented in order to work reliably in finite-precision arithmetic. The book includes many programs written in Matlab and Maple – Maple is often used to derive numerical algorithms, whereas Matlab is used to implement them. The theory is developed in such a way that students can learn by themselves as they work through the text. Each chapter contains numerous examples and problems to help readers understand the material “hands-on”.

Reviews

From the book reviews:

“This is an elaborate book on fundamental numerical methods including numerical ordinary differential equations and optimization. … All chapters are organized in the same nice way by beginning with an introductary example and ending with a large number of exercises. The presentation of the material is reader orientated such that e.g. a student can learn directly from the book. Many details are given and special attention lies on various numerical calculations which enlight the performance of the respective algorithms.” (Rolf Dieter Grigorieff, zbMATH, Vol. 1296, 2014)

Authors and Affiliations

  • Departement Informatik, ETH Zürich, Zürich, Switzerland

    Walter Gander

  • Section de Mathématiques, Université de Genève, Genève, Switzerland

    Martin J. Gander, Felix Kwok

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