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Stability analysis of methods employing reducible rules for Volterra integral equations

  • Part II Numerical Mathematics
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Abstract

The concept of (A 0,S)-stability, for numerical methods approximating solutions of Volterra integral equations, is formally defined. New stability polynomials for the recent multi-lag type methods are obtained. (A 0, 1)-stability of these and other methods employing reducible quadrature rules are also investigated.

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  1. Department of Mathematics, Statistics & Computing, Plymouth Polytechnic, Drake Circus, PL4 8AA, Plymouth, Devon, England

    S. Amini

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  1. S. Amini
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Amini, S. Stability analysis of methods employing reducible rules for Volterra integral equations. BIT 23, 322–328 (1983). https://doi.org/10.1007/BF01934461

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  • DOI: https://doi.org/10.1007/BF01934461

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