Topological structure preserving numerical simulations of dynamical models
DOI10.1016/j.cam.2010.05.038zbMath1198.65109OpenAlexW2014420847MaRDI QIDQ1959461
Evgenija D. Popova, Roumen Anguelov
Publication date: 7 October 2010
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2010.05.038
numerical examplestructural stabilityepidemiological modeldynamic consistencynonstandard finite difference methodvalidated computing
Epidemiology (92D30) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)
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- Inner and outer bounds for the solution set of parametric linear systems
- On structural stability of ordinary differential equations with respect to discretization methods
- Dynamically consistent nonstandard finite difference schemes for continuous dynamical systems
- Parametric interval linear solver
- Contributions to the mathematics of the nonstandard finite difference method and applications
- Rigorous Sensitivity Analysis for Systems of Linear and Nonlinear Equations
- Structural Stability for the Euler Method
- Structural Stability of Morse--Smale Gradient-like Flows under Discretizations
- On Cj-closeness between the solution flow and its numerical approximation
- Numerical integration of population models satisfying conservation laws: NSFD methods
- Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations
- Advances in the Applications of Nonstandard Finite Difference Schemes
- Structural stability on manifolds with boundary
- An unconditionally convergent discretizaton of the SEIR model