In this work, the issue of favorable numerical methods for the space and time discretization of low-dimensional nonlinear Schrödinger equations is addressed. The objective is to provide a stability and error analysis of high-accuracy discretizations that rely on spectral and splitting methods. As a model problem, the time-dependent Gross–Pitaevskii equation arising in the description of Bose–Ei...

in this paper, a new algorithm for studying elastic wave propagation in the phononic crystals is presented. at first, the displacement-based forms of elastic wave equations are derived and then the forms are discretized using finite difference method. so the new algorithm is called the displacement-based finite difference time domain (dbfdtd). three numerical examples are computed with this met...

designing a power splitter with five ports has been shown in this article. in order to prevent the direct coupling between waveguides, a t-shaped structure with an appropriate distance has been used. the coupling between the parallel photonic crystal waveguides is based on multimode interference, while selecting the output efficiency is performed by setting the refractive coefficients and radiu...

G. Linde, M. Åberg. 2004: Pricing European Call Options Using a Pseudospectral Method. Written in English. Uppsala, Sweden. The aim of the project is to price European call options with a pseudospectral method (PS). An option is a financial asset that can be resembled to a lottery coupon. In a predefined time in the future the option is either worthless or worth more than it was bought for. Bla...

recently, time reversal (tr) method, due to its high functionality in heterogeneous media has been widely employed in microwave imaging (mi) applications. one of the applications turning into a great interest is through-wall microwave imaging (twmi). in this paper, tr method is applied to detect and localize a target obscured by a brick wall using a numerically generated data. regarding this, i...