We present a class of high order finite volume schemes for the solution of non-conservative
hyperbolic systems that combines the one-step ADER-WENO finite volume approach with …

The paper is concerned with the construction, implementation and numerical analysis of
exponential multistep methods. These methods are related to explicit Adams methods but, in …

We consider the combination of discontinuous Galerkin discretizations in space with various
time integration methods for linear acoustic, elastic, and electro‐magnetic wave equations …

This paper presents an original approach to local time–space grid refinement for the
numerical simulation of wave propagation in models with localized clusters of micro …

Locally refined meshes severely impede the efficiency of explicit Runge--Kutta (RK)
methods for the simulation of time-dependent wave phenomena. By taking smaller time …

An attractive feature of discontinuous Galerkin (DG) spatial discretization is the possibility of
using locally refined space grids to handle geometrical details. However, locally refined …

In most classical approaches of computational geophysics for seismic wave propagation
problems, complex surface topography is either accounted for by boundary-fitted …

In this paper we consider the full discretization of linear Maxwell's equations on spatial grids
which are locally refined. For such problems, explicit time integration schemes become …

Local time-stepping methods permit to overcome the severe stability constraint on explicit
methods caused by local mesh refinement without sacrificing explicitness. Diaz and Grote …

Locally refined meshes impose severe stability constraints on explicit time-stepping methods
for the numerical simulation of time dependent wave phenomena. Local time-stepping …