Regularity properties of one-leg methods for delay differential equations

DOI10.1016/S0898-1221(00)00279-0zbMath0989.65080OpenAlexW2029713048MaRDI QIDQ5948713

Ai-Guo Xiao, Yi-Fa Tang

Publication date: 12 November 2001

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(00)00279-0

zbMATH Keywords

regularityspurious solutiondelay differential equationone-leg methodsvariable timestep

Mathematics Subject Classification ID

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)

Related Items (1)

Strongly regular general linear methods

Cites Work

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• On spurious asymptotic numerical solutions of explicit Runge-Kutta methods
• Unified approach to spurious solutions introduced by time discretization Part II: BDF-like methods
• Spurious solutions of numerical methods for initial value problems
• Stability and Dynamics of Numerical Methods for Nonlinear Ordinary Differential Equations
• Regularity properties of Runge-Kutta methods for ordinary differential equations

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