Superconvergence in collocation methods for Volterra integral equations with vanishing delays
From MaRDI portal
Publication:738986
DOI10.1016/J.CAM.2016.06.010zbMath1346.65079OpenAlexW2472358980MaRDI QIDQ738986
Meng Li, Wanyuan Ming, Cheng-Ming Huang
Publication date: 16 August 2016
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.2016.06.010
collocation methodnumerical experimentssuperconvergenceVolterra integral equationvanishing delayquasi-geometric mesh
Related Items (10)
Moving least squares collocation method for Volterra integral equations with proportional delay ⋮ Iterated collocation methods for nonlinear third-kind Volterra integral equations with proportional delays ⋮ Collocation methods for third-kind Volterra integral equations with proportional delays ⋮ Optimal superconvergence results for Volterra functional integral equations with proportional vanishing delays ⋮ Error Estimation for Approximate Solutions of Delay Volterra Integral Equations ⋮ Collocation methods for Volterra functional integral equations with non-vanishing delays ⋮ Super-convergence analysis of collocation methods for linear and nonlinear third-kind Volterra integral equations with non-compact operators ⋮ A numerical approach for solving Volterra integral equation with proportional delay using sinc-collocation method ⋮ On Discontinuous and Continuous Approximations to Second-Kind Volterra Integral Equations ⋮ Numerical treatment of nonlinear Volterra integral equations of Urysohn type with proportional delay
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the discretization of differential and Volterra integral equations with variable delay
- Recent advances in the numerical analysis of Volterra functional differential equations with variable delays
- Current work and open problems in the numerical analysis of Volterra functional equations with vanishing delays
- On periodic solutions of a delay integral equation modelling epidemics
- Embedding of delay equations into an infinite-dimensional ODE system
- Asymptotic stability properties of \(\theta\)-methods for the pantograph equation
- On the attainable order of collocation methods for delay differential equations with proportional delay
- Multilevel correction for discrete collocation solutions of Volterra integral equations with delay arguments
- Superconvergence in collocation methods on quasi-graded meshes for functional differential equations with vanishing delays
- Geometric meshes in collocation methods for Volterra integral equations with proportional delays
- Optimal Superconvergence Results for Delay Integro‐Differential Equations of Pantograph Type
- Iterated Collocation Methods for Volterra Integral Equations with Delay Arguments
- Preservation of superconvergence in the numerical integration of delay differential equations with proportional delay
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Optimal Superconvergence Orders of Iterated Collocation Solutions for Volterra Integral Equations with Vanishing Delays
This page was built for publication: Superconvergence in collocation methods for Volterra integral equations with vanishing delays