Error of partitioned Runge-Kutta methods for multiple stiff singular perturbation problems

DOI10.1007/s006070050008zbMath0956.65057OpenAlexW1986084506MaRDI QIDQ1973470

Ai-Guo Xiao, Shou-fu Li

Publication date: 27 April 2000

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s006070050008

zbMATH Keywords

error boundsstepsize controlpartitioned Runge-Kutta methodsdiagonal stabilityalgebraic stabilitystiff singular perturbation problems

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear ordinary differential equations and systems (34A34) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Singular perturbations for ordinary differential equations (34E15) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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