Guide to scientific computing.
type: Item
instance of: scholarly article
zbMATH Open document ID: 1008.65001
publication date: 2002-04-15T00:00:00Z
Mathematics Subject Classification ID: 65-01
Mathematics Subject Classification ID: 65Dxx
Mathematics Subject Classification ID: 65Fxx
Mathematics Subject Classification ID: 65G50
Mathematics Subject Classification ID: 65Hxx
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 65Lxx
zbMATH DE Number: 1727921
zbMATH Keywords: polynomial interpolation
zbMATH Keywords: spline interpolation
zbMATH Keywords: systems of linear equations
zbMATH Keywords: Gaussian elimination
zbMATH Keywords: LU factorization
zbMATH Keywords: Cholesky factorization
zbMATH Keywords: Gram-Schmidt process
zbMATH Keywords: QR factorization
zbMATH Keywords: Householder transformation
zbMATH Keywords: systems of nonlinear equations
zbMATH Keywords: bisection
zbMATH Keywords: Newton's method
zbMATH Keywords: quadrature
zbMATH Keywords: one-step methods
zbMATH Keywords: multistep methods
zbMATH Keywords: difference schemes
zbMATH Keywords: shooting method
zbMATH Keywords: floating point
zbMATH Keywords: arithemtic
zbMATH Keywords: scientific computing
zbMATH Keywords: numerical integration
zbMATH Keywords: numerical differentiation
zbMATH Keywords: textbook
zbMATH Keywords: MATLAB routines
author: Peter R. Turner
describes a project that uses: Matlab
MaRDI profile type: Publication
title: Guide to scientific computing.
review text: This textbook gives an introduction to a wide class of problems in scientific computing. It includes seven chapters with the following titles: NEWLINENEWLINENEWLINE(1) Number representations and errors. NEWLINENEWLINENEWLINE(2) Iterative solution of equations.NEWLINENEWLINENEWLINE(3) Approximate evaluations of functions.NEWLINENEWLINENEWLINE(4) Interpolation.NEWLINENEWLINENEWLINE(5) Numerical calculus.NEWLINENEWLINENEWLINE(6) Differential equations and NEWLINENEWLINENEWLINE(7) Linear equations. NEWLINENEWLINENEWLINEHere are some details. NEWLINENEWLINENEWLINEIn Chapter 1 floating point computer arithmetic is considered, and in Chapter 2 the bisection method, the secant method and Newton's method for the numerical solution of nonlinear equations are treated. NEWLINENEWLINENEWLINEIn Chapter 3 the approximate evaluation of infinite series is considered, and Chapter 4 is devoted to polynomial and spline interpolation. In Chapter 5 numerical integration, numerical differentiation as well as minimization problems for functions of one variable are considered, and Chapter 6 is devoted to initial- and boundary value problems for ordinary differential equations. NEWLINENEWLINENEWLINEFinally, Chapter 7 contains sections on the Gaussian elimination, Jacobi- and Gauss-Seidel iteration, the LU decomposition and eigenvalue problems. Additionally, for each considered topic some MATLAB routines are introduced. NEWLINENEWLINENEWLINEThis textbook addresses to students taking a first course on that topic. It is not the intention to treat the considered topics in a detailed and rigorous manner but the basic ideas are always presented. The presentation is clear and lively, and many examples, figures, exercises and hints for their solution are included.
reviewed by: Robert Plato
description: scientific article; zbMATH DE number 1727921