The ability to advance locally-stiff systems of equations in time depends on accurate and
efficient temporal schemes. Recently, a new family of Paired Explicit Runge-Kutta (P-ERK) …

In this paper we generate optimized Runge-Kutta stability polynomials for multidimensional
discontinuous Galerkin methods recovered using the flux reconstruction approach. Results …

Performing industrial scale incompressible Large Eddy Simulation (LES) remains
particularly challenging due to computational cost limitations. Recently, the Entropically …

A novel optimization procedure for the generation of stability polynomials of stabilized
explicit Runge–Kutta methods is devised. Intended for semidiscretizations of hyperbolic …

Abstract Recently, Paired Explicit Runge-Kutta (P-ERK) schemes were introduced to
accelerate the solution of locally-stiff systems of equations. P-ERK schemes use different …

We investigate the feasibility of gradient-free aeroacoustic shape optimization using the flux
reconstruction (FR) approach to study two-dimensional flow at low Reynolds numbers. The …

The paper is devoted to the parametric stability optimization of explicit Runge–Kutta
methods with higher-order derivatives. The key feature of these methods is the dependence …

In this paper we introduce a family of accelerated implicit-explicit (AIMEX) schemes for the
solution of stiff systems of equations. Similar to conventional IMEX schemes, AIMEX …

Abstract High-order Flux Reconstruction (FR) schemes can be used to simulate unsteady
turbulent flows using Large Eddy Simulation (LES) and Direct Numerical Simulation (DNS) …

In this paper new explicit integrators for numerical solution of stiff evolution equations are
proposed. As shown by Bassenne, Fu and Mani in (J Comput Phys 424: 109847, 2021), the …