Biologically related processes operate across multiple spatiotemporal scales. For
computational modeling methodologies to mimic this biological complexity, individual scale …

During recent years the authors and collaborators have been involved in an activity related
to the construction and analysis of large time step operator splitting algorithms for the …

We show how existing models for the sedimentation of monodisperse flocculated
suspensions and of polydisperse suspensions of rigid spheres differing in size can be …

We discover that the choice of a piecewise polynomial reconstruction is crucial in computing
solutions of nonconvex hyperbolic (systems of) conservation laws. Using semidiscrete …

We present an efficient method to solve numerically the equations of dissipative dynamics of
the binary phase-field crystal model proposed by Elder et al.[KR Elder, M. Katakowski, M …

We discuss a numerical modeling to approximate a two-phase flow in a heterogeneous
porous media taking into account effects of dynamic capillary pressure. The governing …

This work explains how to solve evolution equations via novel iterative-based splitting
methods that efficiently use computational and memory resources. It focuses on systems of …

In liquid–liquid contacting equipment such as completely mixed and differential contactors,
droplet population balance based modeling is now being used to describe the complex …

We design numerical schemes for nonlinear degenerate parabolic systems with possibly
dominant convection. These schemes are based on discrete BGK models where both …

Liquid moisture evaporation and pyrolysis of a biomass fuel slab subject to heating were
computationally investigated in a one-dimensional domain where the fuel shrinkage was …