Numerical methods of ordinary differential equations. Initial and boundary value problems

DOI10.1515/9783110280463zbMATH Open1264.65108OpenAlexW2486985242MaRDI QIDQ5891794

Hans-Jürgen Reinhardt

Publication date: 4 October 2012

Published in: De Gruyter Studium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110280463

zbMATH Keywords

stabilityconvergencetextbookfinite element methodscollocation methodsRunge-Kutta methodsdiscontinuous Galerkin methodslinear multistep methodsstiff problemsshooting methodadaptive step-size selection

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Numerical methods for stiff equations (65L04)

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