We compared several families of algorithms for recursive integral time-extrapolation (RITE)
algorithms for waves in isotropic and anisotropic media. These methods allow simulating …

Finite-difference, time-domain (FDTD) calculations are typically performed with partial
differential equations that are first order in time. Equation sets appropriate for FDTD …

Boundary control of nonlinear parabolic PDEs is an open problem with applications that
include fluids, thermal, chemically-reacting, and plasma systems. In this paper we present …

Corrosion quantitative detection of plate or plate-like structure materials is crucial in
industrial Non-Destructive Testing (NDT) for determining their remaining life. For doing that …

Based on the formula for stability of finite-difference methods with second-order in time and
general-order in space for the scalar wave equation, I obtain a stability formula for Lax …

Finite-difference (FD) methods approximate derivatives through a weighted summation of
function values from neighboring nodes. Traditionally, these neighboring nodes are …

Migration of seismic data from topography using methods based on finite-difference (FD)
approximation to acoustic wave propagation commonly suffers from a number of imaging …

We have developed a derivation of a system of equations for acoustic waves in a medium
with transverse isotropy (TI) in velocity and attenuation. The equations are derived from …

The key computational kernel of most advanced 3D seismic imaging and inversion
algorithms used in exploration seismology involves calculating solutions of the 3D acoustic …

A stable way to reproduce the elastic P-wave propagation in transversely isotropic media is
proposed. Rather than using the elastic wave equation the present approach relies on a …