A sufficient condition for the stability of direct quadrature methods for Volterra integral equations

Within the theoretical framework of the numerical stability analysis for the Volterra integral equations, we consider a new class of test problems and we study the long-time behavior of the numerical solution obtained by direct quadrature methods as a function of the stepsize. Furthermore, we analyz...

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Bibliographic Details
Published in:Numerical algorithms 2017-04, Vol.74 (4), p.1223-1236
Main Authors: Messina, Eleonora, Vecchio, Antonia
Format: Article
Language:English
Subjects:
Algebra
Algorithms
Computer Science
Hypotheses
Integral equations
Mathematical analysis
Numeric Computing
Numerical Analysis
Numerical stability
Original Paper
Quadratures
Stability analysis
Theory of Computation
Volterra integral equations
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Summary:Within the theoretical framework of the numerical stability analysis for the Volterra integral equations, we consider a new class of test problems and we study the long-time behavior of the numerical solution obtained by direct quadrature methods as a function of the stepsize. Furthermore, we analyze how the numerical solution responds to certain perturbations in the kernel.
ISSN:1017-1398
1572-9265
DOI:10.1007/s11075-016-0193-9