Modern convergence theory for stiff initial-value problems

DOI10.1016/0377-0427(93)90260-IzbMath0782.65087MaRDI QIDQ688018

Winfried Auzinger, Reinhard Frank, Gabriela Kirlinger

Publication date: 28 February 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

singular perturbationstiff ordinary differential equationsRunge-Kutta methods\(B\)-convergence

Mathematics Subject Classification ID

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) Multiple scale methods for ordinary differential equations (34E13)

Related Items

Two classes of implicit-explicit multistep methods for nonlinear stiff initial-value problems ⋮ Two methods for the implicit integration of stiff reaction systems ⋮ On a Newton-type method for differential-algebraic equations ⋮ A variable step-size implementation of a variational method for stiff differential equations ⋮ Extending convergence of BDF methods for a class of nonlinear strongly stiff problems ⋮ Positive and conservative schemes for mass action kinetics ⋮ Stability and $B$-convergence properties of multistep Runge-Kutta methods

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