In this work, we introduce new finite-difference shock-capturing central schemes on staggered grids. Staggered schemes may have better resolution of the corresponding unstaggered ...
The performance of various Taylor model (TM)-based methods for the validated integration of ODEs is studied for some representative computational problems. For nonlinear problems, ...
Boundary integral methods to simulate interfacial flows are very sensitive to numerical instabilities. In addition, surface tension introduces nonlinear terms with high order spat...