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• W1993016870 abstract "The construction of a class of backward differentiation formulae based on intra-step Chebyshev-Gauss-Lobatto nodal points, suitable for the approximate numerical integration of initial-value problems of first-order ordinary differential equations, is presented. Formulae of this new family are A0-stable and L(α)-stable for any orders, and, particularly, for orders 1 and 2 they are L-stable. Regions of absolute stability and stability measures make this class very promising. We prove that this family of methods may be considered as Runge-Kutta collocation methods where the abscissae are obtained from the Chebyshev-Gauss-Lobatto points." @default.
• W1993016870 created "2016-06-24" @default.
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• W1993016870 date "2011-02-01" @default.
• W1993016870 modified "2023-09-26" @default.
• W1993016870 title "Analysis of a Chebyshev-based backward differentiation formulae and relation with Runge–Kutta collocation methods" @default.
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• W1993016870 doi "https://doi.org/10.1080/00207161003631877" @default.
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