A full discrete two-level postprocessing Fourier Galerkin scheme for the unsteady Navier-Stokes equations with periodic boundary conditions is proposed in this talk. By defining a new projection, the interaction between the large and small eddies is reflected by the associated space splitting to some extent. Then a weakly coupled system of the large and small eddies is obtained. Stability and e...

A fictitious time is introduced into the unsteady equation of the stream function rendering it into a higher-order ultra-parabolic equation. The convergence with respect to the fictitious time (we call the latter ‘internal iterations’) allows one to obtain fully implicit nonlinear scheme in full time steps for the physical-time variable. For particular choice of the artificial time increment, t...

Pseudoknotted RNA structure prediction is an important problem in bioinformatics. Existing polynomial time algorithms have no performance guarantee or can handle only limited types of pseudoknots. In this paper for the general problem of pseudoknotted RNA structure prediction, maximum weighted stacking problem is presented based on stacking actions, and its polynomial time approximation algorit...

In this study, the missile staging process by implementing a side-injected jet is simulated numerically. The problem is considered to be axisymmetric and the thin shear layer approximation of Navier-Stokes equations along with an algebraic turbulence model is used in a quasi-static form for the calculations. The free stream corresponds to a very high altitude flight condition with a Mach number...

Compact finite difference scheme is applied for a partial integro-differential equation with a weakly singular kernel. The product trapezoidal method is applied for discretization of the integral term. The order of accuracy in space and time is , where . Stability and convergence in  norm are discussed through energy method. Numerical examples are provided to confirm the theoretical prediction ...

It is well known that the two-point flux approximation, a numerical scheme used in most commercial reservoir simulators, has O(1) error when grids are not K-orthogonal. In the last decade, multi-point flux approximations have been developed as a remedy. However, nonphysical oscillations can appear when the anisotropy is really strong. We found out the oscillations are closely related to the poo...

Data has appeared to be a new kind of commodity with distinctive characteristics, which make it fundamentally different from physical goods as well as traditional digital goods. Therefore, new trading mechanisms for data need to be designed. In this paper, we model the data market as an auction with negative externalities, and design practical mechanisms for data trading. Specifically, we propo...

We describe multiscale mortar mixed finite element discretizations for second order elliptic and nonlinear parabolic equations modeling Darcy flow in porous media. The continuity of flux is imposed via a mortar finite element space on a coarse grid scale, while the equations in the coarse elements (or subdomains) are discretized on a fine grid scale. We discuss the construction of multiscale mo...

The paper is concerned with the classical occupancy scheme with infinitely many boxes, in which n balls are thrown independently into boxes 1, 2,. . ., with probability pj of hitting the box j, where p1 ≥ p2 ≥. .. > 0 and P ∞ j=1 pj = 1. We establish joint normal approximation as n → ∞ for the numbers of boxes containing r1, r2,. .. , rm balls, standardized in the natural way, assuming only tha...

The paper is concerned with the classical occupancy scheme with infinitely many boxes, in which n balls are thrown independently into boxes 1, 2, . . ., with probability pj of hitting the box j, where p1 ≥ p2 ≥ . . . > 0 and P∞ j=1 pj = 1. We establish joint normal approximation as n → ∞ for the numbers of boxes containing r1, r2, . . . , rm balls, standardized in the natural way, assuming only...