On the stability of multistep formulas for Volterra integral equations of the second kind

DOI10.1007/BF02237819zbMath0413.65085OpenAlexW2924856618MaRDI QIDQ598790

P. H. M. Wolkenfelt, P. J. van der Houwen

Publication date: 1980

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02237819

zbMATH Keywords

numerical experimentsmultistep methodsVolterra integral equationsstability propertiesfinitely decomposable kernels

Mathematics Subject Classification ID

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

Related Items (10)

On the stability of multistep formulas for Volterra integral equations of the second kind ⋮ Formula manipulation in ALGOL 68 and application to Routh's algorithm ⋮ The repetition factor and numerical stability of Volterra integral equations ⋮ The numerical stability of multistep methods for convolution Volterra integral equations. Nonsingular equations ⋮ A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations ⋮ Nonlinear stability of direct quadrature methods for Volterra integral equations ⋮ Stability Results for One-Step Discretized Collocation Methods in the Numerical Treatment of Volterra Integral Equations ⋮ Boundedness of solutions of difference equations and application to numerical solution of Volterra integral equations of the second kind ⋮ A stability analysis of the trapezoidal method for Volterra integral equations with completely positive kernels ⋮ A perspective on the numerical treatment of Volterra equations

Cites Work

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• On the stability of multistep formulas for Volterra integral equations of the second kind
• Implicit Runge-Kutta methods for second kind Volterra integral equations
• A-stable linear multistep methods for Volterra integro-differential equations
• Calculation of Chandrasekhar's X- and Y-functions for Isotropic Scattering
• On Numerically Solving Nonlinear Volterra Integral Equations with Fewer Computations
• Stability Regions in the Numerical Treatment of Volterra Integral Equations

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