scientific article; zbMATH DE number 1934946

zbMath1029.65080MaRDI QIDQ4406260

L. M. Skvortsov

Publication date: 21 January 2004

Full work available at URL: http://mathnet.ru/eng/mm/v14/i2/p3

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zbMATH Keywords

stabilitycomparison of methodsnumerical examplesdifferential-algebraic systemsstiff systemsFSAL propertyA-stable methodsL-stable methodsdiagonally-implicit Runge-Kutta methodsA(\(\alpha\))-stable methodsembedded error estimators

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) 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) Numerical methods for differential-algebraic equations (65L80)

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