On the convergence of numerical methods for solving a Volterra bilinear equations of the first kind

On the convergence of numerical methods for solving a Volterra bilinear equations of the first kind

A justification is given for the convergence of quadratures (namely, the right rectangle and midpoint rules) for the numerical solution of a Volterra bilinear equation of the first kind. Numerical results for some benchmark problems are presented.[PUBLICATION ABSTRACT]

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Veröffentlicht in:Computational mathematics and mathematical physics 2007-08, Vol.47 (8), p.1323-1331
1. Verfasser: Apartsin, A S
Format: Artikel
Sprache:eng
Schlagworte:
Benchmarking
Computation
Convergence
Mathematical analysis
Mathematical models
Numerical analysis
Quadratures
Rectangles
Studies
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Zusammenfassung:A justification is given for the convergence of quadratures (namely, the right rectangle and midpoint rules) for the numerical solution of a Volterra bilinear equation of the first kind. Numerical results for some benchmark problems are presented.[PUBLICATION ABSTRACT]
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542507080106