FDTD MODELING OF ARBITRARY LINEAR LUMPED NETWORKS USING PIECEWISE LINEAR RECURSIVE CONVOLUTION TECHNIQUE

Title : Piecewise linear recursive convolution for dispersive media using FDTD

Introduced a new method for computing dispersive media using finite difference time domain method by employing the recursive convolution approach to evaluate the discrete time convolution of the electric field and the dielectric susceptibility function. The RC approach results in a fast and computationally efficient algorithm; however, the accuracy achieved is not generally as good as that obta...

The Adi-fdtd Method including Lumped Net- Works Using Piecewise Linear Recursive Con- Volution Technique

The lumped network alternating direction implicit finite difference time domain (LN-ADI-FDTD) technique is proposed as an extension of the conventional ADI-FDTD method in this paper, which allows the lumped networks to be inserted into some ADI-FDTD cells. Based on the piecewise linear recursive convolution (PLRC) technique, the current expression of the loaded place can be obtained. Then, subs...

Piecewise Linear Modeling :

Piecewise linear prewavelets on arbitrary triangulations

This paper studies locally supported piecewise linear prewavelets on bounded triangulations of arbitrary topology. It is shown that a concrete choice of prewavelets form a basis of the wavelet space when the degree of the vertices in the triangulation is not too high. AMS subject classification: 41A15, 41A63, 65D07, 68U05.

Piecewise linear car-following modeling

We present a traffic model that extends the linear car-following model as well as the minplus traffic model (a model based on the min-plus algebra). A discrete-time car-dynamics describing the traffic on a 1-lane road without passing is interpreted as a dynamic programming equation of a stochastic optimal control problem of a Markov chain. This variational formulation permits to characterize th...