Superconvergence of discontinuous Galerkin method for neutral delay differential equations
DOI10.1080/00207160.2020.1846030zbMath1480.65195OpenAlexW3094886557WikidataQ115314360 ScholiaQ115314360MaRDI QIDQ5031308
Publication date: 18 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2020.1846030
discontinuous Galerkin methodsuperconvergenceerror estimateneutral delay differential equationsbreaking point
Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)
Cites Work
- Unnamed Item
- Analysis of a posteriori error estimates of the discontinuous Galerkin method for nonlinear ordinary differential equations
- Continuous Galerkin methods on quasi-geometric meshes for delay differential equations of pantograph type
- State-dependent neutral delay equations from population dynamics
- A priori error analyses of a stabilized discontinuous Galerkin method
- Computing breaking points in implicit delay differential equations
- Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space
- Nonlinear stability of Runge-Kutta methods for neutral delay integro-differential equations
- Strong contractivity properties of numerical methods for ordinary and delay differential equations
- Introduction to functional differential equations
- A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems
- On \(A\)-stable one-leg methods for solving nonlinear Volterra functional differential equations
- An \(h\)-\(p\) version of the continuous Petrov-Galerkin method for nonlinear delay differential equations
- Superconvergence of discontinuous Galerkin methods for nonlinear delay differential equations with vanishing delay
- Theory and applications of partial functional differential equations
- An \(hp\) a priori error analysis of the DG time-stepping for initial value problems
- Implicit-explicit time discretization coupled with finite element methods for delayed predator-prey competition reaction-diffusion system
- The continuous Galerkin finite element methods for linear neutral delay differential equations
- Nonlinear stability of one-leg methods for neutral Volterra delay-integro-differential equations
- An \(hp\)-version of the discontinuous Galerkin time-stepping method for nonlinear second-order delay differential equations with vanishing delays
- Superconvergence of the continuous Galerkin finite element method for delay-differential equation with several terms
- \(L^\infty\) error estimates of discontinuous Galerkin methods for delay differential equations
- Post-processing discontinuous Galerkin solutions to Volterra integro-differential equations: analysis and simulations
- Discontinuous solutions of neutral delay differential equations
- Stability analysis of discontinuous Galerkin method for stiff Volterra functional differential equations
- Stabilization of an uncertain large-scale time-dependent bilinear neutral differential system by memory feedback control
- Superconvergence of a Dg Method for First-Order Linear Delay Differential Equations
- Stability and convergence analysis of implicit–explicit one-leg methods for stiff delay differential equations
- Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type
- Control of Complex Nonlinear Systems with Delay
- Discontinuous Galerkin Methods for Ordinary Differential Equations
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Discontinuous Galerkin methods
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