We present in this paper a pressure correction scheme for barotropic compressible NavierStokes equations, which enjoys an unconditional stability property, in the sense that the energy and maximum-principle-based a priori estimates of the continuous problem also hold for the discrete solution. The stability proof is based on two independent results for general finite volume discretizations, bot...

“Discrete Duality Finite Volume” schemes (DDFV for short) on general 2D meshes, in particular non conforming ones, are studied for the Stokes problem with Dirichlet boundary conditions. The DDFV method belongs to the class of staggered schemes since the components of the velocity and the pressure are approximated on different meshes. In this paper, we investigate from a numerical and theoretica...

Gender Differences in Job Separation Rates and Employment Stability: New Evidence from Employer-Employee Data I analyze the job separation process to learn about gender differences in job separation rates and employment stability. An essential finding is that employer-employee data are required to identify gender differences in job separation probabilities because of labor market segregation. F...

Based on a recent novel formulation of parametric anisotropic curve shortening flow, we analyse fully discrete numerical method this geometric evolution equation. The uses piecewise linear finite elements in space and backward Euler approximation time. We establish existence uniqueness solution, as well an unconditional stability property. Some computations confirm the theoretical results demon...

In this paper we discuss the local discontinuous Galerkin methods coupled with two specific explicit-implicit-null time discretizations for solving one-dimensional nonlinear diffusion problems Ut = (a(U)Ux)x. The basic idea is to add and subtract two equal terms a0Uxx on the right hand side of the partial differential equation, then to treat the term a0Uxx implicitly and the other terms (a(U)Ux...

We present in this paper a pressure correction scheme for the barotropic compressible Navier-Stokes equations, which enjoys an unconditional stability property, in the sense that the energy and maximum-principle-based a priori estimates of the continuous problem also hold for the discrete solution. The stability proof is based on two independent results for general finite volume discretizations...

In this paper, we investigate the concept of unconditional transfer within various forms of regulated grammars like programmed grammars, matrix grammars, grammars with regular control, grammars controlled by bicoloured digraphs, periodically time-variant grammars and variants thereof, especially regarding their descriptive capacity both as language generating and as language accepting devices. ...

In this paper, we investigate a practical numerical method for solving one-dimensional two-sided space-fractional diffusion equation with variable coefficients in finite domain, which is based on the classical Crank-Nicolson (CN) combined Richardson extrapolation. Second-order exact estimates time and space are obtained. The unconditional stability convergence of tested. Two examples also prese...