Dangers of multiple time step methods

DOI10.1006/jcph.1993.1220zbMath0810.65075OpenAlexW2067964076MaRDI QIDQ1323024

Jeffrey J. Biesiadecki, Robert D. Skeel

Publication date: 10 May 1994

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1993.1220

zbMATH Keywords

instabilitydissipationsymplectic methodsmolecular dynamicsartificial resonancemultiple stepsize techniques

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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items

Artificial intelligence for accelerating time integrations in multiscale modeling, Enhancing energy conserving methods, New high order symplectic integrators via generating functions with its application in many-body problem, A fast mollified impulse method for biomolecular atomistic simulations, A hybrid implicit-explicit adaptive multirate numerical scheme for time-dependent equations, A time-accurate explicit multi-scale technique for gas dynamics, Stability of asynchronous variational integrators, Multirate extrapolation methods for differential equations with different time scales, Energy-stepping integrators in Lagrangian mechanics, A posteriori analysis of a multirate numerical method for ordinary differential equations, High-order predictor--corrector of exponential fitting for the \(N\)-body problems, A note on \(B\)-stability of splitting methods, Error and timing analysis of multiple time-step integration methods for molecular dynamics, Force-stepping integrators in Lagrangian mechanics, Variable step implementation of geometric integrators, Algorithmic challenges in computational molecular biophysics, Multiple time scales in classical and quantum-classical molecular dynamics, Masking resonance artifacts in force-splitting methods for biomolecular simulations by extrapolative Langevin dynamics, Spectral variational integrators