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Strong Stability Preserving Multistage Integration Methods

    Giuseppe Izzo Affiliation
    ; Zdzislaw Jackiewicz Affiliation

Abstract

In this paper we systematically investigate explicit strong stability preserving (SSP) multistage integration methods, a subclass of general linear methods (GLMs), of order p and stage order q ≤ p. Characterization of this class of SSP GLMs is given and examples of SSP methods of order p ≤ 4 and stage order q = 1, 2, . . . , p are provided. Numerical tests are reported which confirm that the constructed methods achieve the expected order of accuracy and preserve monotonicity.

Keyword : multistage integration methods, general linear methods, strong stability preserving, monotonicity, two-step Runge–Kutta methods

How to Cite
Izzo, G., & Jackiewicz, Z. (2015). Strong Stability Preserving Multistage Integration Methods. Mathematical Modelling and Analysis, 20(5), 552-577. https://doi.org/10.3846/13926292.2015.1085921
Published in Issue
Sep 28, 2015
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