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PRINTED BOOKS
Author Quarteroni, Alfio.

Title Scientific computing with MATLAB and Octave / Alfio Quarteroni, Fausto Saleri.

Published Berlin ; New York : Springer, [2006]
©2006

Copies

Location Call No. Status
 UniM ERC  518.0285 QUAR    AVAILABLE
Uniform title Introduzione al calcolo scientifico. English
Edition 2nd ed.
Physical description xvi, 318 pages : illustrations (some colour); 24 cm.
Series Texts in computational science and engineering ; 2.
Texts in computational science and engineering ; 2.
Notes "Title of the Italian original edition: Introduzione al Calcolo Scientifico, Springer-Verlag Italia, Milano, 20056."--T.p. verso.
Previous edition: Scientific computing with MATLAB.
Bibliography Includes bibliographical references and index.
Contents 1 What can't be ignored 1 -- 1.1 Real numbers 2 -- 1.2 Complex numbers 6 -- 1.3 Matrices 8 -- 1.4 Real functions 15 -- 1.5 To err is not only human 23 -- 1.6 MATLAB and Octave environments 28 -- 1.7 MATLAB language 29 -- 1.8 What we haven't told you 37 -- 2 Nonlinear equations 39 -- 2.1 Bisection method 41 -- 2.2 Newton method 45 -- 2.3 Fixed point iterations 51 -- 2.4 Acceleration using Aitken method 56 -- 2.5 Algebraic polynomials 60 -- 2.6 What we haven't told you 65 -- 3 Approximation of functions and data 71 -- 3.1 Interpolation 74 -- 3.2 Piecewise linear interpolation 86 -- 3.3 Approximation by spline functions 88 -- 3.4 Least-squares method 92 -- 3.5 What we haven't told you 97 -- 4 Numerical differentiation and integration 101 -- 4.1 Approximation of function derivatives 103 -- 4.2 Numerical integration 105 -- 4.3 Interpolatory quadratures 111 -- 4.4 Simpson adaptive formula 115 -- 4.5 What we haven't told you 119 -- 5 Linear systems 123 -- 5.1 LU factorization method 126 -- 5.2 Pivoting technique 134 -- 5.3 How accurate is the LU factorization? 136 -- 5.4 How to solve a tridiagonal system 140 -- 5.5 Overdetermined systems 141 -- 5.6 What is hidden behind the command 143 -- 5.7 Iterative methods 144 -- 5.8 Richardson and gradient methods 150 -- 5.9 Conjugate gradient method 153 -- 5.10 When should an iterative method be stopped? 156 -- 5.11 To wrap-up: direct or iterative? 159 -- 5.12 What we haven't told you 164 -- 6 Eigenvalues and eigenvectors 167 -- 6.1 Power method 170 -- 6.2 Generalization of the power method 174 -- 6.3 How to compute the shift 176 -- 6.4 Computation of all the eigenvalues 179 -- 6.5 What we haven't told you 183 -- 7 Ordinary differential equations 187 -- 7.1 Cauchy problem 190 -- 7.2 Euler methods 191 -- 7.3 Crank-Nicolson method 197 -- 7.4 Zero-stability 199 -- 7.5 Stability on unbounded intervals 202 -- 7.6 High order methods 212 -- 7.7 Predictor-corrector methods 216 -- 7.8 Systems of differential equations 219 -- 7.10 What we haven't told you 234 -- 8 Numerical methods for (initial-) boundary-value problems 237 -- 8.1 Approximation of boundary-value problems 240 -- 8.2 Finite difference approximation of the heat equation 253 -- 8.3 Wave equation 257 -- 8.4 What we haven't told you 263 -- 9 Solutions of the exercises 267.
Other author Saleri, Fausto.
Subject MATLAB.
Numerical analysis.
Science -- Data processing.
ISBN 354032612X (English edition)
9783540326120 (English edition)