On Discontinuous and Continuous Approximations to Second-Kind Volterra Integral Equations

Related Items

Superconvergent postprocessing of the discontinuous Galerkin time stepping method for nonlinear Volterra integro-differential equations ⋮ On the convergence of discontinuous Galerkin methods for integral-algebraic equations of index 1

Cites Work

Continuous Galerkin methods on quasi-geometric meshes for delay differential equations of pantograph type
On the convergence of collocation solutions in continuous piecewise polynomial spaces for Volterra integral equations
Superconvergence in collocation methods for Volterra integral equations with vanishing delays
Higher accuracy methods for second-kind Volterra integral equations based on asymptotic expansions of iterated Galerkin methods
Numerical solutions for second-kind Volterra integral equations by Galerkin methods.
A fractional order collocation method for second kind Volterra integral equations with weakly singular kernels
Highly stable multistep Runge-Kutta methods for Volterra integral equations
Superconvergence of interpolated collocation solutions for weakly singular Volterra integral equations of the second kind
Mapped spectral collocation methods for Volterra integral equations with noncompact kernels
An \textit{hp}-version of the discontinuous Galerkin time-stepping method for Volterra integral equations with weakly singular kernels
Second-order difference approximations for Volterra equations with the completely monotonic kernels
Blow-Up Behavior of Collocation Solutions to Hammerstein-Type Volterra Integral Equations
Global convergence and local superconvergence of first-kind Volterra integral equation approximations
Volterra Integral Equations
Convergence analysis of the Jacobi spectral-collocation methods for Volterra integral equations with a weakly singular kernel
Discontinuous Galerkin approximations for Volterra integral equations of the first kind
Analysis of collocation solutions for nonstandard Volterra integral equations
Collocation Methods for Volterra Integral and Related Functional Differential Equations
An $hp$-Version of $C^0$ -Continuous Petrov-Galerkin Time-Stepping Method for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels
Super Implicit Multistep Collocation Methods for Weakly Singular Volterra Integral Equations
The Convergence of Collocation Solutions in Continuous Piecewise Polynomial Spaces for Weakly Singular Volterra Integral Equations