Deferred correction with mono-implicit Runge-Kutta methods for first-order IVPs

DOI10.1016/S0377-0427(99)00130-2zbMath0945.65079OpenAlexW2048262543MaRDI QIDQ1964102

T. Van Hecke, Marnix van Daele, H. E. De Meyer, Guido Vanden Berghe

Publication date: 12 October 2000

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00130-2

zbMATH Keywords

stabilitynumerical examplesA-stabilitydeferred correctionmono-implicit Runge-Kutta methodsstiff order

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)

Related Items (7)

Algebraic conditions for high-order convergent deferred correction schemes based on Runge-Kutta-Nyström methods for second order boundary value problems ⋮ Modified Gauss-Laguerre exponential fitting based formulae ⋮ Error estimates for deferred correction methods in time ⋮ An enhanced parareal algorithm based on the deferred correction methods for a stiff system ⋮ Exponentially-fitted Gauss-Laguerre quadrature rule for integrals over an unbounded interval ⋮ High-order convergent deferred correlation schemes based on parameterized Runge-Kutta-Nyström methods for second-order boundary value problems ⋮ Adapted explicit two-step peer methods

Cites Work

• Unnamed Item
• A variable order deferred correction algorithm for the numerical solution of nonlinear two point boundary value problems
• Iterated deferred correction for linear two-point boundary value problems
• A general theory of stabilized extended one-step methods for odes
• A variable-step variable-order algorithm for systems of stiff odes
• A Theoretical Framework for Proving Accuracy Results for Deferred Corrections
• On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
• Order Results for Mono-Implicit Runge–Kutta Methods

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