Optimized explicit Runge--Kutta schemes for the spectral difference method applied to wave propagation problems

M Parsani, DI Ketcheson, W Deconinck - SIAM Journal on Scientific …, 2013 - SIAM
Explicit Runge--Kutta schemes with large stable step sizes are developed for integration of
high-order spectral difference spatial discretizations on quadrilateral grids. The new …

Optimal explicit Runge-Kutta methods for compressible Navier-Stokes equations

V Citro, F Giannetti, J Sierra - Applied Numerical Mathematics, 2020 - Elsevier
We focus our attention on the numerical simulations of compressible flows obtained by using
Finite Difference in time/Finite Element in space approximation. In particular, we determine …

[HTML][HTML] An algorithm to optimize the calculation of the fourth order Runge-Kutta method applied to the numerical integration of kinetics coupled differential equations

S Isotani, WM Pontuschka, S Isotani - 2012 - scirp.org
The kinetic electron trapping process in a shallow defect state and its subsequent thermal-or
photo-stimulated promotion to a conduction band, followed by recombination in another …