Overview
- Authors:
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Alfio Quarteroni
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Chaire de Modelisation et, Calcul Scientifique (CMCS), École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
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Fausto Saleri
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MOX, Politecnico di Milano, Milano, Italy
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Paola Gervasio
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, Department of Mathematics, University of Brescia, Brescia, Italy
- Offers a combination of problems, algorithms, programs, exercises, illustrations and numerical solutions
- Includes some 70 examples, 120 solved exercises and 35 Matlab and Octave programs
- Each chapter opens with representative problems and continues with construction and analysis of algorithms, ad-hoc programs for their implementation
- Includes supplementary material: sn.pub/extras
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Table of contents (9 chapters)
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- Alfio Quarteroni, Fausto Saleri, Paola Gervasio
Pages 1-40
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- Alfio Quarteroni, Fausto Saleri, Paola Gervasio
Pages 41-74
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- Alfio Quarteroni, Fausto Saleri, Paola Gervasio
Pages 75-106
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- Alfio Quarteroni, Fausto Saleri, Paola Gervasio
Pages 107-128
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- Alfio Quarteroni, Fausto Saleri, Paola Gervasio
Pages 129-179
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- Alfio Quarteroni, Fausto Saleri, Paola Gervasio
Pages 181-199
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- Alfio Quarteroni, Fausto Saleri, Paola Gervasio
Pages 201-254
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- Alfio Quarteroni, Fausto Saleri, Paola Gervasio
Pages 255-302
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- Alfio Quarteroni, Fausto Saleri, Paola Gervasio
Pages 303-345
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Back Matter
Pages 347-366
About this book
Preface to the First Edition This textbook is an introduction to Scienti?c Computing. We will illustrate several numerical methods for the computer solution of c- tain classes of mathematical problems that cannot be faced by paper and pencil. We will 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 di?erential equations. With this aim, in Chapter 1 we will illustrate the rules of the game thatcomputersadoptwhenstoringandoperatingwith realandcomplex numbers, vectors and matrices. In order to make our presentation concrete and appealing we will 1 adopt the programming environment MATLAB as a faithful c- panion. We will gradually discover its principal commands, statements and constructs. We will show how to execute all the algorithms that we introduce throughout the book. This will enable us to furnish an - mediate quantitative assessment of their theoretical properties such as stability, accuracy and complexity. We will solve several problems that will be raisedthrough exercises and examples, often stemming from s- ci?c applications.
Reviews
From the reviews of the third edition:
“This carefully written textbook is the third English edition and contains substantial new developments on the numerical solution of differential equations. … it is written in a style that is 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.” (Robert Plato, Zentralblatt MATH, Vol. 1205, 2011)
Authors and Affiliations
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Chaire de Modelisation et, Calcul Scientifique (CMCS), École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
Alfio Quarteroni
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MOX, Politecnico di Milano, Milano, Italy
Fausto Saleri
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, Department of Mathematics, University of Brescia, Brescia, Italy
Paola Gervasio
About the authors
Alfio Quarteroni is Professor and Director of MATHICSE at EPFL, Lausanne (Switzerland), and Professor and Director of MOX at the Politecnico di Milano (Italy). Author of 20 books (mostly published with Springer), and of more than 200 papers, he is actually one of the strongest and reliable mathematicians in the world in the field of Modelling and SC. Fausto Saleri was Professor of Numerical Analysis at Politecnico di Milano (Italy) until 2007. Author of 11 books published with Springer, he worked on the approximation of partial differential equations, giving important contributions to the study of shallow water equations and to the development of scientific software libraries for finite elements. Paola Gervasio is Associate Professor of Numerical Analysis at University of Brescia (Italy) since 2005. Her research work focuses on the approximation of partial differential equations by spectral methods and domain decomposition techniques.