Numerik interaktiv

DOI10.1007/978-3-662-52940-9zbMath1358.65002OpenAlexW4235038472MaRDI QIDQ2833307

Daniel Scholz

Publication date: 17 November 2016

Full work available at URL: https://doi.org/10.1007/978-3-662-52940-9

zbMATH Keywords

algorithmfinite element methodNewton's methodfinite difference methodtextbookboundary value problemsinitial value problemsconjugate gradient methoddiscrete Fourier transformCholesky factorizationGauss eliminationnumerical quadratureRunge-Kutta methodsEuler methodQR methodeigenvalue problemsstepsize controlLU-factorizationpolynomial interpolationQR-factorizationJacobi- and Gauss-Seidel iterationsolver for systems of linear equationssolver for systems of nonlinear equations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Theory of programming languages (68N15) Numerical interpolation (65D05) Numerical methods for discrete and fast Fourier transforms (65T50) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Mathematics for nonmathematicians (engineering, social sciences, etc.) (00A06) 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 quadrature and cubature formulas (65D32) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical linear algebra (65Fxx) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Comprehensive works on education of numerical mathematics (97N10)

Uses Software

• taramath

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