Scientific Computing with MATLAB and Octave

DOI10.1007/978-3-642-12430-3zbMath1205.65002OpenAlexW1760358305MaRDI QIDQ3578295

Paola Gervasio, Fausto Saleri, Alfio M. Quarteroni

Publication date: 20 July 2010

Published in: Texts in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-12430-3

zbMATH Keywords

computational complexitynumerical integrationsystem of nonlinear equationsinitial value problemnumerical differentiationmatrix eigenvalue problempartial differential equationboundary value problemsystem of ordinary differential equationsquadraturescientific computinglinear system of equations\texttt{MATLAB}numerical mathematicsintroductory textbook\texttt{Octave}approximation of a function and data

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Extrapolation to the limit, deferred corrections (65B05) Iterative numerical methods for linear systems (65F10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference methods for boundary value problems involving PDEs (65N06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Direct numerical methods for linear systems and matrix inversion (65F05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Numerical algorithms for computer arithmetic, etc. (65Y04) Comprehensive works on education of numerical mathematics (97N10)

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Uses Software

• Matlab

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