Winfred M. Schwarz

Non-overlapping Schwarz algorithm for solving 2D m-DDFV schemes

We propose a non-overlapping Schwarz algorithm for solving “Discrete Duality Finite Volume” schemes (DDFV for short) on general meshes. In order to handle this problem, the first step is to propose and study a convenient DDFV scheme for anisotropic elliptic problems with mixed Dirichlet/Fourier boundary conditions. Then, we are able to build the corresponding Schwarz algorithm and to prove its ...

Overlapping Schwarz

Rotational Perturbations in Neveu-Schwarz–Neveu-Schwarz String Cosmology

First order rotational perturbations of the flat Friedmann-Robertson-Walker (FRW) metric are considered in the framework of four dimensional Neveu-Schwarz–Neveu-Schwarz (NS-NS) string cosmological models coupled with dilaton and axion fields. The decay rate of rotation depends mainly upon the dilaton field potential U . The equation for rotation imposes strong limitations upon the functional fo...

Anisotropic four-dimensional Neveu-Schwarz–Neveu-Schwarz string cosmology

An anisotropic ~Bianchi type I! cosmology is considered in the four-dimensional Neveu-Schwarz–NeveuSchwarz ~NS–NS! sector of low-energy effective string theory coupled to a dilaton and an axionlike H field within a de Sitter–Einstein frame background. The general solution of the gravitational field equations can be expressed in an exact parametric form in both Einstein and string frames. The st...

On Kadison - Schwarz Type Quantum Quadratic Operators on M 2 ( C ) FarrukhMukhamedov and

and Applied Analysis 3 Let us turn to the positivity of Δ. Given vector f = (f 1 ,