We present a novel numerical method and algorithm for the solution of the 3D axially symmetric timedependent Schrödinger equation in cylindrical coordinates, involving singular Coulomb potential terms besides a smooth time-dependent potential. We use fourth order finite difference real space discretization, with special formulae for the arising Neumann and Robin boundary conditions along the sy...

An EDF-based task-splitting scheme for scheduling multiprocessor systems is introduced in this paper. For m processors at most m− 1 tasks are split. The first part of a split task is constrained to have a deadline equal to its computation time. The second part of the task then has the maximum time available to complete its execution on a different processor. The advantage of this scheme is that...

We study a nonlinear, unsteady, moving boundary, fluid-structure interaction (FSI) problem arising in modeling blood flow through elastic and viscoelastic arteries. The fluid flow, which is driven by the time-dependent pressure data, is governed by 2D incompressible Navier-Stokes equations, while the elastodynamics of the cylindrical wall is modeled by the 1D cylindrical Koiter shell model. Two...

An interpolation based non-conforming spectral element atmospheric model is described. The error norms for a standard test problem are compared against uniform resolution results. Preliminary results for an adaptive mesh refinement strategy are reported. To avoid local time-stepping, a nonlinear variant of operator integration factor splitting has been implemented. A backward differentiation fo...

Two semi-implicit methods based on the splitting of the Euler equations ux into uid and acoustic parts applied to low Mach number ows are presented. The rst method is based on the splitting of slow and fast eigenvalues of the jacobian matrix of the uxes and a semi-implicit scheme is constructed by introducing only the fast eigenvalues in the implicit matrices. The second method is based on the ...

We first prove the second order convergence of the Strang-type splitting scheme for the nonlinear Schrödinger equation. The proof does not require commutator estimates but crucially relies on an integral representation of the scheme. It reveals the connection between Strang-type splitting and the midpoint rule. We then show that the integral representation idea can also be used to study the sto...

In this paper an effective quantum particle beam-splitter in the momentum space is realized in the frame of open-loop control scheme. We demonstrate for small interaction time that the splitting effect ±40~k with summarized relative intensity in both main components is about 50 per cent from initial intensity of the atomic beam.

The density dependent flow and transport problem in groundwater is solved numerically by means of the mixed finite element scheme for the flow equation and an innovative time-splitting technique for the transport equation. The proposed approach, of global second order convergence, is used for the simulation of the movement of radioactive brines at the Lake Karachai (Russia).

We study an adaptive anisotropic Huber functional based image restoration scheme. By using a combination of L2-L1 regularization functions, an adaptive Huber functional based energy minimization model provides denoising with edge preservation in noisy digital images. We study a convergent finite difference scheme based on continuous piecewise linear functions and use a variable splitting scheme...