Scientific Computing with MATLAB and Octave

DOI10.1007/978-3-642-45367-0zbMath1306.65001OpenAlexW4302202620MaRDI QIDQ5396090

Paola Gervasio, Alfio M. Quarteroni, Fausto Saleri

Publication date: 5 February 2014

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

Full work available at URL: https://doi.org/10.1007/978-3-642-45367-0

zbMATH Keywords

optimizationnumerical integrationNewton's methodsystem of nonlinear equationsconjugate gradient methodinitial value problemnumerical differentiationmatrix eigenvalue problempartial differential equationboundary value problemMATLABunconstrained minimizationgradient methodsystem of ordinary differential equationstrust region methoddescent methodquadratureaugmented Lagrangian methodscientific computingquasi-Newton methodLevenberg-Marquardt methodconstrained minimizationGauss-Newton methodlinear system of equationsOctavegolden section methodderivative free methodnumerical mathematicsapproximation of functions and dataNelder and Mead methodpenalty term method

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical optimization and variational techniques (65K10) 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) Finite difference methods for boundary value problems involving PDEs (65N06) 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 methods for ordinary differential equations (65Lxx) Computer aspects of numerical algorithms (65Yxx)

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Uses Software

• Matlab
• Octave

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