Convergence theorems for iterative Runge-Kutta methods with a constant integration step

zbMATH Open0911.65066MaRDI QIDQ1264630

G. Yu. Kulikov

Publication date: 4 October 1998

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

convergenceCauchy problemnumerical exampleserror boundsNewton methodimplicit Runge-Kutta methodssystem of differential-algebraic equations

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) 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) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (3)

Third- and fourth-order ESDIRK methods for stiff and differential-algebraic problems ⋮ Convergence properties of the Runge-Kutta-Chebyshev method ⋮ Asymptotic error estimates for the method of simple iteration and for the modified and generalized Newton methods

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