Numerical Solution of Semilinear Integrodifferential Equations of Parabolic Type with Nonsmooth Data
From MaRDI portal
Publication:3479497
DOI10.1137/0726075zbMath0701.65091OpenAlexW1974859508MaRDI QIDQ3479497
Marie-Noëlle Le Roux, Vidar Thomée
Publication date: 1989
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0726075
Galerkin finite element methodnonsmooth dataintegrodifferential equationbackward Euler methodnonlinear integral operatorError estimatessemilinear memory term
Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)
Related Items (19)
A two-grid finite element method for nonlinear parabolic integro-differential equations ⋮ Richardson extrapolation and defect correction of mixed finite element methods for integro-differential equations in porous media. ⋮ Spectral method for semilinear parabolic integro-differential equations ⋮ Simple algorithm for solving linear integrodifferential equations with variable limits ⋮ Monotone iterative methods for numerical solutions of nonlinear integro-elliptic boundary problems ⋮ Unnamed Item ⋮ On the naturality of the iteration and recursive specifications ⋮ On the discretization in time for a parabolic integrodifferential equation with a weakly singular kernel. II: Nonsmooth initial data ⋮ Unnamed Item ⋮ Finite element approximation with quadrature to a time dependent parabolic integro-differential equation with nonsmooth initial data ⋮ A characteristics-mixed covolume method for a convection-dominated transport problem ⋮ Finite Element Approximation of a Parabolic Integro-Differential Equation with a Weakly Singular Kernel ⋮ Finite element method for a nonlinear parabolic integro-differential equation in higher spatial dimensions ⋮ Non-classical \(H^ 1\) projection and Galerkin methods for non-linear parabolic integro-differential equations ⋮ Applications and numerical analysis of partial differential Volterra equations: A brief survey ⋮ Semi-discrete finite element approximations for linear parabolic integro-differential equations with integrable kernels ⋮ Superclose analysis of a two-grid finite element scheme for semilinear parabolic integro-differential equations ⋮ Finite element methods of the two nonlinear integro-differential equations ⋮ The stability of Ritz-Volterra projection and error estimates for finite element methods for a class of integro-differential equations of parabolic type
This page was built for publication: Numerical Solution of Semilinear Integrodifferential Equations of Parabolic Type with Nonsmooth Data