A P-stable singly diagonally implicit Runge-Kutta-Nyström method

DOI10.1023/A:1016644726305zbMath0939.65097MaRDI QIDQ1264393

Ch. Tsitouras, George Papageorgiou, Ioannis Th. Famelis

Publication date: 19 June 2000

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

zbMATH Keywords

oscillatory behaviourP-stabilityhigh ordersingly diagonally implicit Runge-Kutta-Nyströmstepsize experiments

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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