Computing singularly perturbed differential equations
From MaRDI portal
Publication:1700745
DOI10.1016/j.jcp.2017.10.025zbMath1380.65135arXiv1707.03765OpenAlexW2735346502MaRDI QIDQ1700745
Sabyasachi Chatterjee, Amit Acharya, Zvi Artstein
Publication date: 22 February 2018
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.03765
singular perturbationordinary differential equationsYoung measureslow-fast systemscoarse-graining systems
Error bounds for numerical methods for ordinary differential equations (65L70) Singular perturbations for ordinary differential equations (34E15) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
Related Items
Linear singularly perturbed systems without slow-fast split ⋮ Second-order fast-slow dynamics of non-ergodic Hamiltonian systems: thermodynamic interpretation and simulation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Coarse variables of autonomous ODE systems and their evolution
- The heterogeneous multiscale methods
- A computational strategy for multiscale systems with applications to Lorenz 96 model
- On a computational approach for the approximate dynamics of averaged variables in nonlinear ODE systems: toward the derivation of constitutive laws of the rate type
- Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis
- Numerical techniques for multi-scale dynamical systems with stochastic effects
- A multiscale method for highly oscillatory ordinary differential equations with resonance
- Nonintrusive and Structure Preserving Multiscale Integration of Stiff ODEs, SDEs, and Hamiltonian Systems with Hidden Slow Dynamics via Flow Averaging
- Analysis and Computation of a Discrete KdV-Burgers Type Equation with Fast Dispersion and Slow Diffusion
- Coarse-Graining Autonomous ODE Systems by Inducing a Separation of Scales: Practical Strategies and Mathematical Questions
- Numerical Multiscale Methods for Coupled Oscillators
- Historical Developments in Singular Perturbations
- Young Measure Approach to Computing Slowly Advancing Fast Oscillations
- The singular perturbation limit of an elastic structure in a rapidly flowing nearly inviscid fluid
- On singularly perturbed ordinary differential equations with measure-valued limits
- Singularly perturbed ordinary differential equations with dynamic limits
- Time-averaged coarse variables for multi-scale dynamics
- Slow observables of singularly perturbed differential equations
