Modified finite-difference formula for semivectorial H-field solutions of optical waveguides

Modified finite difference schemes for geophysical flows

Vectorial Integrated Finite-Difference Analysis of Dielectric Waveguides

AbstracfAn integrated finite difference approach is formulated for the full vector solution using transverse magnetic field components for dielectric waveguides, which is particularly suitable for nonuniform mesh and internal flux boundary conditions. This approach creates a sparse banded asymmetric matrix. Only few largest positive eigenvalues and the corresponding eigenvectors are calculated ...

Computer Analysis of Dielectric Waveguides: A Finite-Difference Method

[11] C. J. Anderson, “Electrical properties of an input-output cable for Josephson applications,” Rev. Sci. Instrum., vol. 53, pp. 1663-1666, NOV. 1982. A. Feller, H. R. Kaupp, and J. J. DiGracomo, “ Crosstafk and reflections in high-speed digitaf systems,” in Prvc. Fall Joint Computer Conf., Dec. 1965. W. T. Weeks, “Calculation of coefficients of capacitance of multiconductor transmission line...

Nonstandard finite difference schemes for differential equations

In this paper, the reorganization of the denominator of the discrete derivative and nonlocal approximation of nonlinear terms are used in the design of nonstandard finite difference schemes (NSFDs). Numerical examples confirming then efficiency of schemes, for some differential equations are provided. In order to illustrate the accuracy of the new NSFDs, the numerical results are compared with ...

Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation

In this paper we present two unconditionally energy stable finite difference schemes for the Modified Phase Field Crystal (MPFC) equation, a sixth-order nonlinear damped wave equation, of which the purely parabolic Phase Field Crystal (PFC) model can be viewed as a special case. The first is a convex splitting scheme based on an appropriate decomposition of the discrete energy and is first orde...