We introduce a family of multivalue almost collocation methods with diagonal coefficient matrix for the numerical solution of ordinary differential equations. The choice of this type of coefficient matrix permits a reduction of the computational cost and a parallel implementation. Collocation gives a continuous extension of the solution which is useful for a variable step size implementation. We provide examples of A-stable methods with two and three stages and order 3.

Multivalue Almost Collocation Methods with Diagonal Coefficient Matrix

D'Ambrosio R.;
2020

Abstract

We introduce a family of multivalue almost collocation methods with diagonal coefficient matrix for the numerical solution of ordinary differential equations. The choice of this type of coefficient matrix permits a reduction of the computational cost and a parallel implementation. Collocation gives a continuous extension of the solution which is useful for a variable step size implementation. We provide examples of A-stable methods with two and three stages and order 3.
978-3-030-58798-7
978-3-030-58799-4
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/153492
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