The purpose of this work is to derive a family of multivalue collocation methods for the numerical solution of ordinary differential equations. The methods are characterized by a lower triangular coefficient matrix of the nonlinear system for the computation of the stages, with all equal diagonal entries. Such structure can be exploited in order to obtain an efficient implementation. The constructed methods are A-stable and have a uniform order of convergence.

Singly diagonally implicit multivalue collocation methods

D'Ambrosio R.;
2020

Abstract

The purpose of this work is to derive a family of multivalue collocation methods for the numerical solution of ordinary differential equations. The methods are characterized by a lower triangular coefficient matrix of the nonlinear system for the computation of the stages, with all equal diagonal entries. Such structure can be exploited in order to obtain an efficient implementation. The constructed methods are A-stable and have a uniform order of convergence.
978-1-7281-6695-7
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/153493
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