We consider Sundman and Poincaré transformations for the long-time numerical
integration of Hamiltonian systems whose evolution occurs at different time scales. The transformed
systems are numerically integrated using ...
[EN] Many important applications are modelled by differential equations with positive solutions. However, it remains an outstanding open problem to develop numerical methods that are both (i) of a high order of accuracy ...
MacNamara, S.; Blanes Zamora, Sergio; Iserles, Arieh(Cambridge University Press, 2020-06-16)
[EN] An important framework for modelling and simulation of chemical reactions is a Markov process sometimes known as a master equation. Explicit solutions of master equations are rare; in general the explicit solution of ...