We propose a new arbitrary high order accurate semi-implicit space–time discontinuous
Galerkin (DG) method for the solution of the two and three dimensional compressible Euler …

Numerical modeling of wave propagation in heterogeneous media is important in many
applications. Due to their complex nature, direct numerical simulations on the fine grid are …

In this paper we propose a novel arbitrary high order accurate semi-implicit space–time
discontinuous Galerkin method for the solution of the three-dimensional incompressible …

In this article we propose a new family of high order staggered semi-implicit discontinuous
Galerkin (DG) methods for the simulation of natural convection problems. Assuming small …

In this work we present a mimetic spectral element discretization for the 2D incompressible
Navier–Stokes equations that in the limit of vanishing dissipation exactly preserves mass …

The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modeling and the …

A spatially arbitrary high order, semi-implicit spectral discontinuous Galerkin (DG) scheme
for the numerical solution of the shallow water equations on staggered control volumes is …

A well-balanced, spatially arbitrary high order accurate semi-implicit discontinuous Galerkin
scheme is presented for the numerical solution of the two dimensional shallow water …

In this paper we propose a new spatially high order accurate semi-implicit discontinuous
Galerkin (DG) method for the solution of the two dimensional incompressible Navier–Stokes …

In this paper, a new type of staggered discontinuous Galerkin methods for the three
dimensional Maxwell's equations is developed and analyzed. The spatial discretization is …