Uniform \(L^1\) error bounds for the semidiscrete solution of a Volterra equation with completely monotonic convolution kernel
From MaRDI portal
Publication:1609066
DOI10.1016/S0898-1221(02)00102-5zbMath1005.65149OpenAlexW2139139004MaRDI QIDQ1609066
Publication date: 15 August 2002
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0898-1221(02)00102-5
Galerkin methoderror estimatessemidiscretizationVolterra integro-differential equationcompletely monotonic convolution kernel
Related Items
The numerical analysis on a Volterra equation with asymptotically periodic solution ⋮ Numerical solutions of viscoelastic bending wave equations with two term time kernels by Runge-Kutta convolution quadrature ⋮ Numerical solution of evolutionary integral equations with completely monotonic kernel by Runge–Kutta convolution quadrature ⋮ Numerical analysis of Volterra integro-differential equations for viscoelastic rods and membranes ⋮ Weak Galerkin finite-element method for time-fractional nonlinear integro-differential equations ⋮ Decay properties for the numerical solutions of a partial differential equation with memory ⋮ The BDF orthogonal spline collocation method for the two-dimensional evolution equation with memory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the discretization in time for a parabolic integrodifferential equation with a weakly singular kernel. I: Smooth initial data
- On the discretization in time for a parabolic integrodifferential equation with a weakly singular kernel. II: Nonsmooth initial data
- The long-time global behavior of time discretization for fractional order Volterra equations
- A Volterra equation with completely monotonic convolution kernel
- Uniform $L^1 $ Behavior in Classes of Integrodifferential Equations with Completely Monotonic Kernels
- Resolvent Formulas for a Volterra Equation in Hilbert Space
- Orthogonal Spline Collocation Methods for Some Partial Integrodifferential Equations
- Some Convergence Estimates for Semidiscrete Galerkin Type Approximations for Parabolic Equations
- A Nonhomogeneous Integrodifferential Equation in Hilbert Space
- Numerical solution of an evolution equation with a positive-type memory term
- Spline Collocation Methods for a Class of Hyperbolic Partial Integro-Differential Equations
- Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term
- Indirect Abelian Theorems and a Linear Volterra Equation
- What is the Laplace Transform?
