High Order Methods for a Class of Volterra Integral Equations with Weakly Singular Kernels
From MaRDI portal
Publication:4044113
DOI10.1137/0711088zbMath0292.65067OpenAlexW2030306132MaRDI QIDQ4044113
Publication date: 1974
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://authors.library.caltech.edu/12611/
Related Items (25)
Stability and convergence analysis of a class of continuous piecewise polynomial approximations for time-fractional differential equations ⋮ Recursive higher order fuzzy transform method for numerical solution of Volterra integral equation with singular and nonsingular kernels ⋮ Volterra integral equations ⋮ Superconvergence of collocation methods for Volterra and Abel integral equations of the second kind ⋮ Numerical solution of non-linear Volterra integral equations ⋮ A numerical approach to the solution of Abel integral equations of the second kind with nonsmooth solution ⋮ A method for the solution of a class of singular Volterra integro- differential equations ⋮ A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations ⋮ A new approach to the numerical solution of weakly singular Volterra integral equations. ⋮ The exact solution of a linear integral equation with weakly singular kernel ⋮ Product integration for Volterra integral equations of the second kind with weakly singular kernels ⋮ Variable transformations in the numerical solution of second kind Volterra integral equations with continuous and weakly singular kernels; extensions to Fredholm integral equations ⋮ Trapezoidal methods for fractional differential equations: theoretical and computational aspects ⋮ A parallel algorithm for large systems of Volterra integral equations of Abel type ⋮ The numerical solution of Volterra integral equations with nonsmooth solutions based on sinc approximation ⋮ Mathematical programming methods in the numerical solution of Volterra integral and integro-differential equations with weakly-singular kernel ⋮ The nonlinear cooling of a semi-infinite solid --- implicit Runge-Kutta (IRK) methods ⋮ Piecewise homotopy perturbation method for solving linear and nonlinear weakly singular VIE of second kind ⋮ Bibliography on the evaluation of numerical software ⋮ Stability analysis of product \(\theta\)-methods for Abel integral equations of the second kind ⋮ Barycentric rational collocation methods for Volterra integral equations with weakly singular kernels ⋮ The solution of infinitely ill-conditioned weakly-singular problems ⋮ Product integration methods for second-kind Abel integral equations ⋮ Numerical solution of a nonuniquely solvable Volterra integral equation using extrapolation methods ⋮ A rational basis for second-kind Abel integral equations
This page was built for publication: High Order Methods for a Class of Volterra Integral Equations with Weakly Singular Kernels
