Scientific Computing with MATLAB and Octave / by Alfio Quarteroni, Fausto Saleri, Paola Gervasio.

Format:

Book

Author/Creator:

Quarteroni, Alfio., Author.

Saleri, Fausto., Author.

Gervasio, Paola., Author.

Series:

Texts in Computational Science and Engineering, 1611-0994

Language:

English

Subjects (All):

Computer science--Mathematics.

Computer science.

Physics.

Computational intelligence.

Chemistry, Physical and theoretical.

Mathematics.

Visualization.

Computational Science and Engineering.

Numerical and Computational Physics, Simulation.

Computational Intelligence.

Theoretical and Computational Chemistry.

MATLAB.

Local Subjects:

Computational Science and Engineering.

Numerical and Computational Physics, Simulation.

Computational Intelligence.

Theoretical and Computational Chemistry.

Visualization.

Physical Description:

1 online resource (XVIII, 442 p.) online resource.

Edition:

4th ed. 2014.

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014.

Language Note:

English

Summary:

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.

Contents:

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.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Description based on publisher supplied metadata and other sources.

ISBN:

3-642-45367-8

OCLC:

923707930