Boundary-optimized summation-by-parts (SBP) finite difference operators for second
derivatives with variable coefficients are presented. The operators achieve increased …

In this paper, we present an accurate, stable and robust shock-capturing finite difference
method for solving scalar non-linear conservation laws. The spatial discretization uses high …

Infrasound observations are increasingly used to constrain properties of volcanic eruptions.
In order to better interpret infrasound observations, however, there is a need to better …

Seismic data acquired at the seafloor are valuable in characterizing the subsurface and
monitoring producing hydrocarbon fields. To fully use such data, a stable, accurate, and …

We present an adjoint-based optimization method to invert for stress and frictional
parameters used in earthquake modeling. The forward problem is linear elastodynamics …

Abstract Summation-by-parts (SBP) finite difference methods have several desirable
properties for second-order wave equations. They combine the computational efficiency of …

We present an efficient numerical method for earthquake sequences in 2D antiplane shear
that incorporates wave propagation. A vertical strike‐slip fault governed by rate‐and‐state …

We introduce an energy stable, high-order-accurate finite difference approximation of the
dynamic, pure bending Kirchhoff plate equations for complex geometries and spatially …

This paper presents the process, strategy, and results associated with porting a typical
combustion physics flow solver to current state-of-the-art and future massively-parallel …

We develop a high order accurate numerical method for solving the elastic wave equation in
second-order form. We hybridize the computationally efficient Cartesian grid formulation of …