Superconvergence of collocation methods for Volterra and Abel integral equations of the second kind
From MaRDI portal
Publication:1143776
DOI10.1007/BF01395951zbMath0442.65125MaRDI QIDQ1143776
Syvert P. Nørsett, Hermann Brunner
Publication date: 1981
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/132707
collocation methodssuperconvergencepiecewise polynomial spacesVolterra and Abel integral equations of the second kind
Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05)
Related Items
A reliable technique for solving the weakly singular second-kind Volterra-type integral equations, On the stability of the one-step exact collocation method for the second kind Volterra integral equation with degenerate kernel, On the stability of the one-step exact collocation methods for the numerical solution of the second kind Volterra integral equation, The barycentric rational predictor-corrector schemes for Volterra integral equations, On the numerical stability of the linear barycentric rational quadrature method for Volterra integral equations, Superconvergence Results for Volterra-Urysohn Integral Equations of Second Kind, A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations, Implementation of general linear methods for Volterra integral equations, Superconvergence of collocation methods for a class of weakly singular Volterra integral equations, Mathematical programming methods in the numerical solution of Volterra integral and integro-differential equations with weakly-singular kernel, Stability Results for One-Step Discretized Collocation Methods in the Numerical Treatment of Volterra Integral Equations, Piecewise homotopy perturbation method for solving linear and nonlinear weakly singular VIE of second kind, Improving the accuracy of collocation solutions of Volterra integral equations of the first kind by local interpolation, On superconvergence techniques, A note on collocation methods for Volterra integral equations of the first kind, On stability of Runge-Kutta methods for delay integral equations, Collocation and iterated collocation methods for a class of weakly singular Volterra integral equations, General linear methods with large stability regions for Volterra integral equations, On the divergence of collocation solutions in smooth piecewise polynomial spaces for Volterra integral equations, A perspective on the numerical treatment of Volterra equations, Natural Continuous Extensions of Runge-Kutta Methods for Volterra Integral Equations of the Second Kind and Their Applications, Product integration methods for second-kind Abel integral equations, Numerical solution of a class of integro-differential equations by the tau method with an error estimation, On the order of the error in discretization methods for weakly singular second kind Volterra integral equations with non-smooth solutions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Implicit Runge-Kutta methods for second kind Volterra integral equations
- Superconvergence of collocation methods for Volterra integral equations of the first kind
- On the linearization of Volterra integral equations
- Quadrature formulae
- The real-pole sandwich for rational approximations and oscillation equations
- High Order Methods for a Class of Volterra Integral Equations with Weakly Singular Kernels
- Discretization of Volterra Integral Equations of the First Kind
- Piecewise Polynomial Collocation for Volterra-type Integral Equations of the Second Kind
- A class ofA-stable methods
- Some relationships between implicit Runge-Kutta, collocation and Lanczosτ methods, and their stability properties
- Smoothness of Solutions of Volterra Integral Equations with Weakly Singular Kernels
- A nonlinear variation of constants formula for volterra equations