The repetition factor and numerical stability of Volterra integral equations

DOI10.1016/0898-1221(80)90041-3zbMath0458.65109OpenAlexW2017723890MaRDI QIDQ1151749

S. H. Smith

Publication date: 1980

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(80)90041-3

zbMATH Keywords

numerical resultsnumerical stabilityintegral equation of the second kindmultistep methodsintegral equation of the first kind

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Singular nonlinear integral equations (45G05)

Related Items (4)

Stability analysis of ef Gaussian direct quadrature methods for Volterra integral equations ⋮ A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations ⋮ 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
• Calculation of Chandrasekhar's X- and Y-functions for Isotropic Scattering
• Stability and Convergence of Multistep Methods for Linear Volterra Integral Equations of the First Kind
• Multistep Methods for Solving Linear Volterra Integral Equations of the First Kind
• Stability Regions in the Numerical Treatment of Volterra Integral Equations
• The Deferred Approach to the Limit for Eigenvalues of Integral Equations

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