Regularity properties of a class of hybrid methods

DOI10.1016/S1007-5704(00)90020-0zbMath0951.34008OpenAlexW2092538922MaRDI QIDQ1570384

Da-Xue Chen, Ai-Guo Xiao

Publication date: 4 January 2001

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(00)90020-0

zbMATH Keywords

period-2 solutionsdynamical systems of ordinary differential equationsspurious steady solutions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

• Equilibria of Runge-Kutta methods
• Regularity properties of multistage integration methods
• A Unified Approach to Spurious Solutions Introduced by Time Discretisation. Part I: Basic Theory
• Unified approach to spurious solutions introduced by time discretization Part II: BDF-like methods
• Spurious solutions of numerical methods for initial value problems
• Regularity properties of Runge-Kutta methods for ordinary differential equations
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