Numerik gewöhnlicher Differentialgleichungen

DOI10.1007/978-3-8348-2263-5zbMath1256.65073OpenAlexW2490915247MaRDI QIDQ5891594

Helmut Podhaisky, Rüdiger Weiner, Karl Strehmel

Publication date: 8 June 2012

Full work available at URL: https://doi.org/10.1007/978-3-8348-2263-5

zbMATH Keywords

stabilityconvergence analysiserror estimatesRosenbrock methodsRunge-Kutta methodsstiff differential equationsorder conditionsmultistep methodsone-leg methodsextrapolation methodsorder starsexponential integratorsindex reductionmonographystep-size controlorder treesone-step methodsW-methodsB-convergencepredictor-corrector schemesNordsieck formDahlquist barrierPeer methodscomparison of codesA-, AN- and BN-stabilityindex-1 and index-2 systemsinitial value problem, differential-algebraic equationsnonlinear Runge-Kutta methods

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01)

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