In this paper, we have proposed a numerical method for singularly perturbed  fourth order ordinary differential equations of convection-diffusion type. The numerical method combines boundary value technique, asymptotic expansion approximation, shooting method and  finite difference method. In order to get a numerical solution for the derivative of the solution, the given interval is divided  in...

In the proposed tutorial we would like to highlight the connection between rendering algorithms and sorting and searching as classical problems studied in computer science. We will provide both theoretical and empirical evidence that for many rendering techniques most time is spent by sorting and searching. In particular we will discuss problems and solutions for visibility computation, density...

We present a new numerical method for computing the pure-point spectrum associated with the linear stability of coherent structures. In the context of the Evans function shooting and matching approach, all the relevant information is carried by the flow projected onto the underlying Grassmann manifold. We show how to numerically construct this projected flow in a stable and robust manner. In pa...

A comparison of ultra-wideband (UWB) communication characteristics for two different shapes of stairs with concrete and iron materials are investigated. The impulse responses of these stairs are computed by shooting and bouncing ray/image (SBR/Image) techniques and inverse Fourier transform. Numerical results show that the bit error rate (BER) of binary-pulse amplitude modulation (B-PAM) system...