Nonstandard numerical methods for a class of predator-prey models with predator interference.
Numerical analysis of nonlinear model of excited carrier decay
This paper presents a mathematical model for photo-excited carrier decay in a semiconductor. Due to the carrier trapping states and recombination centers in the bandgap, the carrier decay process is defined by the system of nonlinear differential equations. The system of nonlinear ordinary differential equations is approximated by linearized backward Euler scheme. Some a priori estimates of the discrete solution are obtained and the convergence of the linearized backward Euler method is proved....
Numerical experiments with different schemes for a singularly perturbed problem.
Numerical modelling of a bridge subjected to simultaneous effect of a moving load and a vertical seismic ground excitation
A simple beam subjected to a row of regularly distributed moving forces and simultaneous vertical motions of its supports is described using a simplified theoretical model and a finite differences approach. Several levels of simplification of the structure and input data are supposed. Numerical results confirm legitimacy of the assumptions.