Stability Analysis of Runge-Kutta Methods for Volterra Integral Equations of the Second Kind期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Stability Analysis of Runge-Kutta Methods for Volterra Integral Equations of the Second Kind

Authors:	BELLEN, A. JACKIEWICZ, Z. VERMIGLIO, R. ZENNARO, M.

Affiliation:	Dipartimento di Scienze Mathematiche, Universita' di Trieste I-34100 Trieste, Italy Department of Mathematics, Arizona State University Tempe, Arizona 85287 USA Dipartimento di Matematica e Informatica, Universita' di Udine I-33100 Udine, Italy

Abstract:	Stability analysis of Volterra-Runge-Kutta methods based onthe basic test equation of the form where ${lambda}$ is a complex parameter, and on the convolution test equation where ${lambda}$ and ${sigma}$ are real parameters, is presented. General stabilityconditions are derived and applied to construct numerical methodswith good stability properties. In particular, a family of second-orderV^o-stable Volterra-Runge-Kutta methods is obtained. No V^o-stablemethods of order greater than one have been presented previouslyin the literature.

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