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arXiv · 2203.11189

Continuous-Stage Runge-Kutta approximation to Differential Problems

Pierluigi Amodio·Luigi Brugnano·Felice Iavernaro
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Abstract

In recent years, the efficient numerical solution of Hamiltonian problems has led to the definition of a class of energy-conserving Runge-Kutta methods named Hamiltonian Boundary Value Methods (HBVMs). Such methods admit an interesting interpretation in terms of continuous-stage Runge-Kutta methods, which is here recalled and revisited for general differential problems.

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Pierluigi Amodio, Luigi Brugnano, Felice Iavernaro. 2022-03-21. Continuous-Stage Runge-Kutta approximation to Differential Problems. https://doi.org/10.3390/axioms11050192

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