High-order finite difference methods are efficient, easy to program, scale well in multiple
dimensions and can be modified locally for various reasons (such as shock treatment for …

The weighted essentially non-oscillatory (WENO) schemes are a popular class of high order
numerical methods for hyperbolic partial differential equations (PDEs). While WENO …

Combination of WENO and Explicit Runge–Kutta Methods for Wind Transport in the Meso-NH
Model in: Monthly Weather Review Volume 145 Issue 9 (2017) Jump to Content Jump to Main …

Generally, the infinity-norm joint-velocity minimization (INVM) of physically constrained
kinematically redundant robots can be formulated as time-variant linear programming …

The level‐set method is typically used to track and propagate the fire perimeter in wildland
fire models. Herein, a high‐order level‐set method using fifth‐order WENO scheme for the …

The efficient numerical solution of many kinetic models in plasma physics is impeded by the
stiffness of these systems. Exponential integrators are attractive in this context as they …

An anisotropic lattice Boltzmann-phase field (LB-PF) model is developed to simulate the
equiaxed dendritic growth with sedimentation in the melt of binary alloys under the effect of …

We construct and analyze robust strong stability preserving IMplicit–EXplicit Runge–Kutta
(IMEX RK) methods for models of flow with diffusion as they appear in astrophysics, and in …

A model coupling the lattice Boltzmann and the phase field methods with anisotropic effects
is proposed, which is used to numerically describe the growth and movement of dendrites in …

We study spatially partitioned embedded Runge--Kutta (SPERK) schemes for partial
differential equations (PDEs), in which each of the component schemes is applied over a …