Boundary-Value Problems for the Evolutionary Schrödinger Equation. II

Approximating Initial-Value Problems with Two-Point Boundary-Value Problems: BBM-Equation

L2-transforms for boundary value problems

In this article, we will show the complex inversion formula for the inversion of the L2-transform and also some applications of the L2, and Post Widder transforms for solving singular integral equation with trigonometric kernel. Finally, we obtained analytic solution for a partial differential equation with non-constant coefficients.

Absorbing Boundary Conditions for the Schrödinger Equation

A large number of differential equation problems which admit traveling waves are usually defined on very large or infinite domains. To numerically solve these problems on smaller subdomains of the original domain, artificial boundary conditions must be defined for these subdomains. One type of artificial boundary condition which can minimize the size of such subdomains is the absorbing boundary...

Inverse Boundary Value Problems for the Magnetic Schrödinger Equation

We survey recent results on inverse boundary value problems for the magnetic Schrödinger equation.

Two Boundary Value Problems for the Ginzburg-landau Equation

Two boundary value problems for the Ginzburg-Landau equation are considered. Extensive numerical calculations have been performed in each case, including bifurcation histories, spectral analysis, PoincarC sections and Hausdorff dimension estimates. The approach to the inviscid limit is given detailed treatment. In this case universal behavior has been found to exist. Arguments are presented to ...