Superconvergence and postprocessing of the continuous Galerkin method for nonlinear Volterra integro-differential equations
From MaRDI portal
Publication:6044907
DOI10.1051/m2an/2022100zbMath1514.65096OpenAlexW4311831204MaRDI QIDQ6044907
Mingzhu Zhang, Lijun Yi, Unnamed Author
Publication date: 25 May 2023
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/m2an/2022100
Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Volterra integral equations (45D05)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An \(h\)-\(p\) Petrov-Galerkin finite element method for linear Volterra integro-differential equations
- Exponential convergence of the \textit{hp}-version of the composite Gauss-Legendre quadrature for integrals with endpoint singularities
- An \(h-p\) version of the continuous Petrov-Galerkin finite element method for nonlinear Volterra integro-differential equations
- Runge-Kutta theory for Volterra integrodifferential equations
- Defect correction and a posteriori error estimation of Petrov-Galerkin methods for nonlinear Volterra integro-differential equations.
- A \(C^1\) Petrov-Galerkin method and Gauss collocation method for 1D general elliptic problems and superconvergence
- Stability analysis of Runge-Kutta methods for Volterra integro-differential equations
- Post-processing discontinuous Galerkin solutions to Volterra integro-differential equations: analysis and simulations
- Convergence Analysis of the Legendre Spectral Collocation Methods for Second Order Volterra Integro-Differential Equations
- Is 2k-Conjecture Valid for Finite Volume Methods?
- Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations
- An $hp$-version Legendre-Jacobi spectral collocation method for Volterra integro-differential equations with smooth and weakly singular kernels
- Implicit Runge-Kutta Methods of Optimal Order for Volterra Integro-Differential Equations
- An $h$-$p$ Version of the Continuous Petrov--Galerkin Finite Element Method for Volterra Integro-Differential Equations with Smooth and Nonsmooth Kernels
- A Posteriori Error Analysis of Finite Element Solutions for One-Dimensional Problems
- A note on collocation methods for Volterra integro-differential equations with weakly singular kernels
- The Numerical Analysis of Implicit Runge-Kutta Methods for a Certain Nonlinear Integro-Differential Equation
- Petrov--Galerkin Methods for Linear Volterra Integro-Differential Equations
- Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Stieltjes Derivatives and $\beta $-Polynomial Spline Collocation for Volterra Integrodifferential Equations with Singularities
- Superconvergence of the Iterated Galerkin Methods for Hammerstein Equations
- A Superconvergent discontinuous Galerkin method for Volterra integro-differential equations, smooth and non-smooth kernels
- Spectral Methods
- hp-Discontinuous Galerkin Time-Stepping for Volterra Integrodifferential Equations
- On the numerical solution of nonlinear Volterra integro-differential equations
- Volterra integral and differential equations
This page was built for publication: Superconvergence and postprocessing of the continuous Galerkin method for nonlinear Volterra integro-differential equations