Second derivative general linear methods

DOI10.1007/s11075-013-9814-8zbMath1305.65168OpenAlexW2071562924MaRDI QIDQ483286

M. N. O. Ikhile, R. I. Okuonghae

Publication date: 16 December 2014

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-013-9814-8

zbMATH Keywords

numerical example\(L\)-stabilitygeneral linear method\(A(\alpha)\)-stabilitysecond derivative Runge Kutta methodsstiff initial value problems

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) Numerical methods for stiff equations (65L04)

Related Items

Unnamed Item, On explicit two-derivative two-step Runge-Kutta methods, Unnamed Item, A class of two-derivative two-step Runge-Kutta methods for non-stiff ODEs, Nested second derivative two-step Runge-Kutta methods

Uses Software

• RODAS

Cites Work

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