As n precursor to numerical simiilntion of tropical cyclones with multilevcl vertical resolution, a linear model in which the thermodynamic equation is applied at two levels is considered. Eigenvalue solutions for conditional and unconditional heating are compared.

The present work deals with high frequency Helmholtz equation resolution using geometrical optics. We give formulaes in dimension 2 and 3 for mixed Dirichlet, Neumann and Robin boundaries conditions.

Super-resolution of the alpha matte and the foreground object from a video are jointly attempted in this paper. Instead of superresolving them independently, we treat super-resolution of the matte and foreground in a combined framework, incorporating the matting equation in the image degradation model. We take multiple adjacent frames from a low-resolution video with non-global motion for incre...

In this paper, an effective procedure based on coordinate stretching and radial basis functions (RBFs) collocation method is applied to solve singularly perturbed differential-difference equations with layer behavior. It is well known that if the boundary layer is very small, for good resolution of the numerical solution at least one of the collocation points must lie in the boundary layer. In ...

A pressure based implicit procedure to solve the Euler and Navier-Stokes equation is developed to predict transonic viscous and inviscid flows around the pitching and heaving airfoils with a high reslution scheme. In this process, nonorthogonal and non moving mesh with collocated finite volume formulation are used. In order to simulate pitching or heaving airfoil, oscillation of flow boundary c...

The ability to separate isotopes by high-resolution ion mobility spectrometry techniques is considered as a direct means for determining mass at ambient pressures. Calculations of peak shapes from the transport equation show that it should be possible to separate isotopes for low-mass ions (<200) by utilizing heavy collision gases and high-resolution ion mobility analyzers. The mass accuracy as...

The paper proposes a direct estimation of the mixing matrix and not a tuning of the separation matrix as usually done. The method is based on resolution of a set of 8 equations involving cumulants up to order 4 of the mixture signals, which may be reduce to resolution to a second order polynomial equation. Experimental results and robustness suggest to use the method as a preliminary step to pr...

We prove the existence of a spectral resolution of the Wheeler-DeWitt equation when the matter field is provided by a massive Yang-Mills field. The resolution is achieved by first solving the free eigenvalue problem for the gravitational field and then the constrained eigenvalue problem for the Yang-Mills field. In the latter case the mass of the Yang-Mills field assumes the role of the eigenva...

In conventional micromagnetism magnetic domain configurations are calculated based on a continuum theory for the magnetization. This theory assumes that the absolute magnetization value is constant in space and time. Dynamics is usually described with the Landau-Lifshitz-Gilbert LLG equation, the stochastic variant of which includes finite temperatures. Using simulation techniques with atomisti...

For example, investigating the Hamiltonian constraint equation for a black hole with angular momentum we find that, where finite difference solutions require a resolution of 1024×384 (radial×angular) grid points to find a solution of fractional error 10−5 in the ADM mass, a PSC solution achieves the same accuracy with only 12× 4 collocation points. Furthermore, the fractional error is reduced t...