Nonlinear stability of discontinuous Galerkin methods for delay differential equations
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Publication:963836
DOI10.1016/j.aml.2009.12.003zbMath1191.65111OpenAlexW1990666182MaRDI QIDQ963836
Publication date: 14 April 2010
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2009.12.003
Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for functional-differential equations (65L03)
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Cites Work
- A priori error analyses of a stabilized discontinuous Galerkin method
- Nonlinear stability of general linear methods for delay differential equations
- P-stability properties of Runge-Kutta methods for delay differential equations
- Stability of numerical methods for delay differential equations
- Strong contractivity properties of numerical methods for ordinary and delay differential equations
- A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations
- Stability analysis of Runge-Kutta methods for nonlinear delay differential equations
- A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems
- Asymptotic stability analysis of Runge-Kutta methods for nonlinear systems of delay differential equations
- Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization.
- Superconvergence of discontinuous Galerkin methods for hyperbolic systems
- A posteriori discontinuous Galerkin error estimates for transient convection-diffusion equations
- Discontinuous Galerkin Methods for Ordinary Differential Equations
- Special stability problems for functional differential equations
- A Posteriori Error Bounds and Global Error Control for Approximation of Ordinary Differential Equations
- Discontinuous Galerkin methods
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
