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Numerical Mathematics Alfio Quarteroni

Numerical Mathematics By Alfio Quarteroni

Numerical Mathematics by Alfio Quarteroni


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Summary

This book provides the mathematical foundations of numerical methods and demonstrates their performance on examples, exercises and real-life applications. In the second edition of this extremely popular textbook on numerical analysis, the readability of pictures, tables and program headings has been improved.

Numerical Mathematics Summary

Numerical Mathematics by Alfio Quarteroni

This book provides the mathematical foundations of numerical methods and demonstrates their performance on examples, exercises and real-life applications. This is done using the MATLAB software environment, which allows an easy implementation and testing of the algorithms for any specific class of problems. The book is addressed to students in Engineering, Mathematics, Physics and Computer Sciences. In the second edition of this extremely popular textbook on numerical analysis, the readability of pictures, tables and program headings has been improved. Several changes in the chapters on iterative methods and on polynomial approximation have also been

Numerical Mathematics Reviews

It is a joy to read the book, it is carefully written and well printed. (Werner H.Schmidt, zbMATH 0957.65001, 2021)

From the reviews of the first edition:

SIAM REVIEW

I found many of the examples to be quite interesting. I find no fault with any of the theoretical portions of the text. The authors are quite thorough in their discussion of the theory underlying each of the topics...This text uses MATLAB for programming the numerical codes. This is a very good choice...It contains a lot of interesting and useful information for experienced users of numerical methods...

About Alfio Quarteroni

Alfio Quarteroni (see http://www.cirs-tm.org/researchers/researchers.php?id=319):

Author of a huge amount of books

Professor and Chair of Modelling and Scientific Computing (CMCS) at the Institute of Analysis and Scientific Computing of EPFL, Lausanne (Switzerland), since 1998.

Professor of Numerical Analysis at the Politecnico di Milano (Italy) since 1989 and Scientific Director of MOX, since 2002.

Research Interests :

His current research involves computational fluid dynamics, modelling and simulation of haemodynamics, numerical analysis of domain decomposition methods with application to multi-physics problems.

Awards and Honors :

  • NASA Group Achievement Award for the pioneering work in Computational Fluid Dynamics as a member of the ICASE numerical analysis and algorithms group, 1992.
    Member of the Lombard Academy of Science (Istituto Lombardo di Scienze e Lettere) (since 1995).
  • Chairman of the Mathematics and Computer Science RTN evaluation panel of the E.U., 1999.
  • Co-chairman (with P.L.Lions) of the AMIF research programme of the European Science Foundation (1996-2001).
  • Recipient of the Galileian Chair, Scuola Normale Superiore, Pisa, Italy (2001).
    Premio Agrumello 2003.
  • Laurea Honoris Causa in Naval Engineering , University of Trieste, Italy, October 2003.
  • Recipient of one of the SIAM Outstanding Paper Prize 2004 (for a paper in collaboration with A. Veneziani and P. Zunino).
  • IACM (International Association for Computational Mechanics), Fellow Award, 2004.
  • Member of Accademia Nazionale dei Lincei, (Italian National Academy of Sciences) 2004.
  • President of the Evaluation Panel Mathematics and Computer Sciences of CIVR, 2005.

Table of Contents

Series Preface.- Preface.- I Getting Started.- 1. Foundations of Matrix Analysis.- 2 Principles of Numerical Mathematics.- II Numerical Linear Algebra.- 3 Direct Methods for the Solution of Linear Systems.- 4 Iterative Methods for Solving Linear Systems.- 5 Approximation of Eigenvalues and Eigenvectors.- III Around Functions and Functionals.- 6 Rootfinding for Nonlinear Equations.- 7 Nonlinear Systems and Numerical Optimization.- 8 Polynomial Interpolation.- 9 Numerical Integration.- IV Transforms, Differentiation and Problem Discretization.- 10 Orthogonal Polynomials in Approximation Theory.- 11 Numerical Solution of Ordinary Differential Equations.- 12 Two-Point Boundary Value Problems.- 13 Parabolic and Hyperbolic Initial Boundary Value Problems.- References.- Index of MATLAB Programs.- Index.

Additional information

NPB9783540346586
9783540346586
3540346589
Numerical Mathematics by Alfio Quarteroni
New
Hardback
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
20061019
657
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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