On mixed collocation methods for Volterra integral equations with periodic solution

DOI10.1016/S0168-9274(97)00015-9zbMath0878.65117OpenAlexW2012617660WikidataQ128067144 ScholiaQ128067144MaRDI QIDQ1360536

Athena Makroglou, Hermann Brunner, Richard K. Miller

Publication date: 5 January 1998

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(97)00015-9

zbMATH Keywords

convergencenumerical examplecollocation methodperiodic solutionslinear Volterra integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items

Iterative method and convergence analysis for a kind of mixed nonlinear Volterra-Fredholm integral equation ⋮ Mixed interpolation collocation methods for first and second order Volterra integro-differential equations with periodic solution ⋮ On mixed collocation methods for Volterra integral equations with periodic solution ⋮ Exponential fitting collocation methods for a class of Volterra integral equations ⋮ Exponential fitting direct quadrature methods for Volterra integral equations ⋮ Stability analysis of ef Gaussian direct quadrature methods for Volterra integral equations ⋮ On the solution of a mixed nonlinear integral equation ⋮ On the solution of linear and nonlinear integral equation. ⋮ A new wavelet method for solving a class of nonlinear Volterra-Fredholm integral equations ⋮ Ef-Gaussian direct quadrature methods for Volterra integral equations with periodic solution ⋮ High order exponentially fitted methods for Volterra integral equations with periodic solution ⋮ Multivalue mixed collocation methods ⋮ Mixed collocation methods for \(y=f(x,y)\) ⋮ BOUNDARY AND INITIAL VALUE PROBLEMS AND INTEGRAL OPERATOR ⋮ Lagrange collocation method for solving Volterra-Fredholm integral equations ⋮ Efficient collocation methods for Volterra integral equations with highly oscillatory kernel ⋮ A perspective on the numerical treatment of Volterra equations ⋮ Mixed interpolation methods with arbitrary nodes

Uses Software

• Algorithm 689

Cites Work

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• A nonlinear Volterra equation arising in the theory of superfluidity
• On a class of modified Newton-Cotes quadrature formulae based upon mixed- type interpolation
• Positive almost periodic solutions of a nonlinear integral equation from the theory of epidemics
• On a new type of mixed interpolation
• Positive almost periodic solutions of some delay integral equations
• High-order one-step P-stable methods for the numerical integration of periodic initial value problems
• Unconditionally stable methods for second order differential equations
• Numerical solution of Fredholm equations based on mixed interpolation
• Numerical solution of Volterra equations based on mixed interpolation
• Mixed interpolation collocation methods for first and second order Volterra integro-differential equations with periodic solution
• On mixed collocation methods for Volterra integral equations with periodic solution
• On the error estimation for a mixed type of interpolation
• Iterated Collocation Methods and Their Discretizations for Volterra Integral Equations
• The Numerical Solution of Nonlinear Volterra Integral Equations of the Second Kind by Collocation and Iterated Collocation Methods
• On the convergence of solutions of Volterra equations to almost-periodic functions
• A modified numerov integration method for second order periodic initial-value problems
• Algorithm 689: Discretized collocation and iterated collocation for nonlinear Volterra integral equations of the second kind
• Mathematical programming methods in the numerical solution of Volterra integral and integro-differential equations with weakly-singular kernel
• Almost-periodic behavior of solutions of a nonlinear Volterra system.