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Zbl 1104.65133
Zhang, Chengjian; Vandewalle, Stefan
General linear methods for Volterra integro-differential equations with memory. (English)
[J] SIAM J. Sci. Comput. 27, No. 6, 2010-2031 (2006). ISSN 1064-8275; ISSN 1095-7197/e

The authors investigate the global and asymptotic stability of solutions of Volterra integro-differential equations for a class by extended general linear methods based on a combination of general linear methods with compound quadrature rules. Numerical examples are illustrated.
[Hu Chuangan (Tianjin)]
MSC 2000:
*65R20 Integral equations (numerical methods)
45J05 Integro-ordinary differential equations
45M10 Stability theory of integral equations

Keywords: global and asymptotic stability; general linear methods; Volterra delay-integro-differential; algebraically stable; numerical examples; quadrature rules

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