A note on stability of a three-stage difference scheme for ordinary differential equations

DOI10.1016/0898-1221(93)90209-EzbMath0770.65046OpenAlexW2093341162MaRDI QIDQ1203694

Wenjie Zhu, Meng-Zhao Qin

Publication date: 22 February 1993

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(93)90209-e

zbMATH Keywords

stabilityHamiltonian systemsstiff systemsinstability regionLie seriesNumerical testsfourth order accuracyself- adjoint operatorsthree-stage difference scheme

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) Multiple scale methods for ordinary differential equations (34E13) Dynamical systems and ergodic theory (37-XX)

Related Items

Applications of higher order self-adjoint schemes to partial differential equations, Construction of symplectic schemes for wave equations via hyperbolic functions \(\sinh(x)\), \(\cosh(x)\) and \(\tanh(x)\)

Uses Software

• RODAS

Cites Work

• Lie series and nonlinear ordinary differential equations
• Hamiltonian algorithms for Hamiltonian systems and a comparative numerical study
• Lie series and invariant functions for analytic symplectic maps
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