For problems of convection–diffusion type, Eulerian–Lagrangian localized adjoint methods
provide a methodology that maintains the accuracy and efficiency of Eulerian–Lagrangian …

A fully discrete two-grid modified method of characteristics (MMOC) scheme is proposed for
nonlinear variable-order time-fractional advection–diffusion equations in two space …

In this paper, we study the solute transport in heterogeneous media described by the time-
fractional mobile/immobile advection diffusion model, where the integer and the fractional …

We consider an Eulerian–Lagrangian localized adjoint method (ELLAM) applied to
nonlinear model equations governing solute transport and sorption in porous media. Solute …

We study high-resolution central schemes in Lagrangian coordinates for the one-
dimensional system of conservation laws describing the evolution of two gases in slab …

We develop a quasi‐two‐level, coarse‐mesh‐free characteristic nonoverlapping domain
decomposition method for unsteady‐state convection‐diffusion partial differential equations …

Аннотация Рассматриваются вопросы численного моделирования нестационарных
двухфазных потоков в пористых средах с существенно неоднородными свойствами с …

We develop a Eulerian-Lagrangian substructuring domain decomposition method for the
solution of time-dependent advection-diffusion trans-port partial differential equations …

Advection-diffusion-reaction differential equations arise from petroleum reservoir simulation,
groundwater contaminant remediation, and many other applications. The solutions to these …

We study high-resolution Lagrangian central schemes for the one-dimensional system of
conservation laws describing the evolution of two gases in slab geometry separated by an …