Abstract

Solving an initial value problem by a Rosenbrock method produces, in general, the numerical solution at (in advance unknown) gridpoints. Applications requiring frequent output (as graphics, delay differential equations, problems with driving equations) normally restrict the stepsize control of these codes and increase the computational overhead considerably. In this paper we introduce a class of continuous extensions for Rosenbrock-type methods. These extensions furnish a continuous numerical solution without affecting the efficiency of the codes. — Author's Abstract

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