True behaviour of an arbitrary structural system is dynamic and nonlinear. To analyze this
behaviour in many real cases, eg structures in regions under high seismic risk, a versatile …

High-order accurate first derivative finite difference operators are derived that naturally
introduce artificial dissipation. The boundary closures are based on the diagonal-norm …

Dynamic propagation of shear ruptures on a frictional interface in an elastic solid is a useful
idealization of natural earthquakes. The conditions relating discontinuities in particle …

In multiple observed caldera‐forming eruptions, the rock overlying a draining magma
reservoir dropped downward along ring faults in sequences of discrete collapse …

Strictly stable high-order accurate finite difference approximations are derived, for linear
initial boundary value problems. The boundary closures are based on the diagonal-norm …

The main motivation with the present study is to achieve a provably stable high-order
accurate finite difference discretisation of linear first-order hyperbolic problems on a …

We introduce a provably stable, high-order-accurate finite difference method for simulation
of acoustic and flexural gravity waves in compressible, inviscid fluids partially covered by a …

High-order accurate finite difference schemes are derived for a non-linear soliton model of
nerve signal propagation in axons. Two types of well-posed boundary conditions are …

A new weak boundary procedure for hyperbolic problems is presented. We consider high
order finite difference operators of summation-by-parts form with weak boundary conditions …

A stable and high-order accurate upwind finite difference discretization of the 3D linearized
Euler equations is presented. The discretization allows point sources, a varying atmosphere …