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 …

Conceptual rainfall‐runoff models have traditionally been applied without paying much
attention to numerical errors induced by temporal integration of water balance dynamics …

In this paper a numerical simulation based on radial basis functions is presented for the time-
dependent Allen–Cahn equation on surfaces with no boundary. In order to approximate the …

A numerical method has been designed for solving the surface Allen–Cahn model. The
proposed numerical procedure is based on the generalized moving least-squares …

We present a class of arbitrarily high order fully explicit kinetic numerical methods in
compressible fluid dynamics, both in time and space, which include the relaxation schemes …

We present a general, high-order, fully explicit relaxation scheme which can be applied to
any system of nonlinear hyperbolic conservation laws in multiple dimensions. The scheme …

This paper deals with the numerical integration of well-posed multiscale systems of ODEs or
evolutionary partial differential equations (PDEs). As these systems appear naturally in …

The functioning of fuel cells, in which simultaneous processes having different kinetics and
different time constants occur, can be simulated by applying rather complex models. For the …

The convergence of various operator splitting procedures, such as the sequential, the Strang
and the weighted splitting, is investigated in the presence of a spatial approximation. To this …

Reactive transport modeling contributes to understand geophysical and geochemical
processes in subsurface environments. Operator splitting methods have been proposed as …