On the Relation between the Repetition Factor and Numerical Stability of Direct Quadrature Methods for Second Kind Volterra Integral Equations

DOI10.1137/0720074zbMath0526.65094OpenAlexW2047381061MaRDI QIDQ3040468

P. H. M. Wolkenfelt

Publication date: 1983

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://research.tue.nl/nl/publications/3d0f7f80-5edb-42f3-9f09-d96d6faa9502

zbMATH Keywords

numerical resultsnumerical stabilitydirect quadrature methodssecond kindasymptotic repetition factor

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (7)

Numerical techniques for the treatment of quasistatic viscoelastic stress problems in linear isotropic solids ⋮ 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 ⋮ Transient and periodic solution to the time-inhomogeneous quasi-birth death process ⋮ BIFURCATIONS IN NUMERICAL METHODS FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS ⋮ Boundedness of solutions of difference equations and application to numerical solution of Volterra integral equations of the second kind ⋮ Stability of reducible quadrature methods for Volterra integral equations of the second kind

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