Continuous two-step Runge–Kutta methods for ordinary differential equations |
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| Authors: | Raffaele D’Ambrosio Zdzislaw Jackiewicz |
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| Institution: | 1.Dipartimento di Matematica e Informatica,Universitá degli Studi di Salerno,Fisciano (SA),Italy;2.Department of Mathematics and Statistics,Arizona State University,Tempe,USA;3.AGH University of Science and Technology,Kraków,Poland |
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| Abstract: | New classes of continuous two-step Runge-Kutta methods for the numerical solution of ordinary differential equations are derived.
These methods are developed imposing some interpolation and collocation conditions, in order to obtain desirable stability
properties such as A-stability and L-stability. Particular structures of the stability polynomial are also investigated. |
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