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Scientific Computing with MATLAB and Octave [electronic resource] :Second Edition / by Alfio Quarteroni, Fausto Saleri.

by Quarteroni, Alfio [author.]; Saleri, Fausto [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Texts in Computational Science and Engineering: 2Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.Description: XVI, 318 p. 108 illus. online resource.ISBN: 9783540326137.Subject(s): Mathematics | Chemistry | Computer science | Visualization | Physics | Mathematics | Computational Science and Engineering | Numerical and Computational Methods | Numerical and Computational Methods in Engineering | Theoretical and Computational Chemistry | VisualizationDDC classification: 004 Online resources: Click here to access online
Contents:
What can’t be ignored -- Nonlinear equations -- Approximation of functions and data -- Numerical differentiation and integration -- Linear systems -- Eigenvalues and eigenvectors -- Ordinary differential equations -- Numerical methods for (initial-)boundary-value problems -- Solutions of the exercises.
In: Springer eBooksSummary: This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make the presentation concrete and appealing, the programming environments Matlab and Octave, which is freely distributed, are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from specific applications. A specific section is devoted to subjects which were not addressed in the book and contains the bibliographical references for a more comprehensive treatment of the material. The second edition features many new problems and examples, as well as more numerical methods for linear and nonlinear systems and ordinary and partial differential equations.
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What can’t be ignored -- Nonlinear equations -- Approximation of functions and data -- Numerical differentiation and integration -- Linear systems -- Eigenvalues and eigenvectors -- Ordinary differential equations -- Numerical methods for (initial-)boundary-value problems -- Solutions of the exercises.

This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros or the integrals of continuous functions, solve linear systems, approximate functions by polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make the presentation concrete and appealing, the programming environments Matlab and Octave, which is freely distributed, are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from specific applications. A specific section is devoted to subjects which were not addressed in the book and contains the bibliographical references for a more comprehensive treatment of the material. The second edition features many new problems and examples, as well as more numerical methods for linear and nonlinear systems and ordinary and partial differential equations.

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