High order explicit exponential Runge-Kutta methods for semilinear delay differential equations
DOI10.1016/j.cam.2020.113279zbMath1458.65071OpenAlexW3098144667WikidataQ115359704 ScholiaQ115359704MaRDI QIDQ2223854
Publication date: 3 February 2021
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.2020.113279
order conditionsexplicit exponential Runge-Kutta methodsstiff semilinear delay differential equations
Nonlinear ordinary differential equations and systems (34A34) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for functional-differential equations (65L03)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Stability analysis of explicit exponential integrators for delay differential equations
- Exponential multistep methods of Adams-type
- \(B\)-theory of Runge-Kutta methods for stiff Volterra functional differential equations
- Strong contractivity properties of numerical methods for ordinary and delay differential equations
- Stability and bifurcation in delay diffusion models
- Nonlinear stability and D-convergence of Runge-Kutta methods for delay differential equations
- Predator-prey models with delay and prey harvesting
- Theory and applications of partial functional differential equations
- Numerical modelling in biosciences using delay differential equations
- Parallel exponential Rosenbrock methods
- D-convergence and conditional GDN-stability of exponential Runge-Kutta methods for semilinear delay differential equations
- Exponential Rosenbrock methods of order five -- construction, analysis and numerical comparisons
- Explicit exponential Runge-Kutta methods of high order for parabolic problems
- A class of explicit exponential general linear methods
- Exponential integrators
- Good Behavior with Respect to the Stiffness in the Numerical Integration of Retarded Functional Differential Equations
- Unconditional stability of explicit exponential Runge-Kutta methods for semi-linear ordinary differential equations
- The Concept of B-Convergence
- A Delay Reaction-Diffusion Model of the Spread of Bacteriophage Infection
- Stability properties of explicit exponential Runge-Kutta methods
- Exponential Rosenbrock-Type Methods
- Exponential B-Series: The Stiff Case
- Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems
- D-convergence and GDN-stability of Runge-Kutta methods for a class of delay systems
- \(D\)-convergence of general linear methods for stiff delay differential equations
- A partial functional differential equation
This page was built for publication: High order explicit exponential Runge-Kutta methods for semilinear delay differential equations