Parallel-iterated pseudo two-step Runge-Kutta methods with step size control
DOI10.1007/s13160-014-0144-6zbMath1302.65162OpenAlexW2091468268MaRDI QIDQ403858
Nguyen Thu Thuy, Nguyen Huu Cong
Publication date: 29 August 2014
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13160-014-0144-6
convergencenumerical examplesinitial value problemerror estimateRunge-Kutta methodspredictor-corrector methodsstep size controlembedded formulasnon-stiff first-order ordinary differential equationsorder conditionparallel iteration
Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Parallel numerical computation (65Y05) 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)
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