An efficient algorithm for solving piecewise-smooth dynamical systems
From MaRDI portal
Publication:2116057
DOI10.1007/s11075-021-01154-1zbMath1485.65078OpenAlexW3182721126MaRDI QIDQ2116057
Nicola Guglielmi, Ernst Hairer
Publication date: 16 March 2022
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-021-01154-1
Ordinary differential inclusions (34A60) Numerical methods for initial value problems involving ordinary differential equations (65L05) Discontinuous ordinary differential equations (34A36) Numerical methods for differential-algebraic equations (65L80)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A survey of numerical methods for IVPs of ODEs with discontinuous right-hand side
- Filippov solutions in the analysis of piecewise linear models describing gene regulatory networks
- Computing breaking points in implicit delay differential equations
- One-step methods of any order for ordinary differential equations with discontinuous right-hand sides
- Efficient integration over discontinuities in ordinary differential equation simulations
- Efficient integration over discontinuities for differential-algebraic systems
- Solutions leaving a codimension-\(2\) sliding
- A comparison of Filippov sliding vector fields in codimension 2
- Sliding motion on the intersection of two manifolds: spirally attractive case
- Piecewise-smooth dynamical systems. Theory and applications
- Sliding motion on discontinuity surfaces of high co-dimension. A construction for selecting a Filippov vector field
- Hidden dynamics in models of discontinuity and switching
- Combinatorial explosion in model gene networks
- Dynamics at a Switching Intersection: Hierarchy, Isonomy, and Multiple Sliding
- Solving Optimization-Constrained Differential Equations with Discontinuity Points, with Application to Atmospheric Chemistry
- Algorithm 968
- Classification of Hidden Dynamics in Discontinuous Dynamical Systems
- Solving Ordinary Differential Equations with Discontinuities
- An event-driven method to simulate Filippov systems with accurate computing of sliding motions
- Study of Singularities in Nonsmooth Dynamical Systems via Singular Perturbation
- Hidden Dynamics
- A note on attractivity for the intersection of two discontinuity manifolds
- Regularization and Geometry of Piecewise Smooth Systems with Intersecting Discontinuity Sets
This page was built for publication: An efficient algorithm for solving piecewise-smooth dynamical systems