Implemented the Horn–Schunck optical flow algorithm from scratch by translating a continuous variational energy model into a stable, iterative discrete solver for dense pixel-level motion estimation, ...

Abstract: Due to the rapid advance of the integrated circuit technology, power grid analysis usually imposes a severe computational challenge, where linear equations with millions or even billions of ...

The underlying solver algorithms used in power grid (PG) simulation today are derivations of circuit simulation algorithms first developed many decades ago. In fact, the 40 th anniversary of SPICE (a ...

Surface waves have proven to be valuable instruments in subsurface investigation, finding applications in diverse fields such as hydrocarbon and mineral resource exploration. The computation of ...

Abstract: Modern petroleum reservoir simulation serves as a primary tool for quantitatively managing reservoir production and planning new fields. It involves repeatedly solving the Jacobian of a set ...

Under the hood, multiphysics software based on the finite-element (FE) method mathematically models complex engineering and scientific problems in inductive heating, heat transfer, and ...