Almost all of the elements heavier than hydrogen that are present in our solar system were
produced by nuclear burning processes either in the early universe or at some point in the …

Astrophysical nucleosynthesis is a family of diverse processes by which atomic nuclei
undergo nuclear reactions and decay to form new nuclei. The complex nature of …

A novel methodology is developed to extract accurate skeletal reaction models for nuclear
combustion. Local sensitivities of isotope mass fractions with respect to reaction rates are …

We demonstrate the first implementation of recently-developed fast explicit kinetic
integration algorithms on modern graphics processing unit (GPU) accelerators. Taking as a …

We present results of explicit asymptotic approximations applied to neutrino-electron
scattering in a representative model of neutrino population evolution under conditions …

In contrast to the prevailing view in the literature, it is shown that even extremely stiff sets of
ordinary differential equations may be solved efficiently by explicit methods if limiting …

In two preceding papers (Guidry et al 2013 Comput. Sci. Disc. 6 015001 and Guidry and
Harris 2013 Comput. Sci. Disc. 6 015002), we have shown that when reaction networks are …

We show that, even for extremely stiff systems, explicit integration may compete in both
accuracy and speed with implicit methods if algebraic methods are used to stabilize the …

Abstract At the Big Bang, only the lightest elements, mainly hydrogen and helium, were
produced. Stars synthesize heavier elements, such as helium, carbon, and oxygen, from …

We demonstrate the systematic implementation of recently-developed fast explicit kinetic
integration algorithms that solve efficiently N coupled ordinary differential equations (subject …