Application des sentinelles à l'identification des pollutions dans une rivière
Application du théorème de Sylvester à la localisation des valeurs propres de dans le cas symétrique
Application of a Higher Order Discontinuous Galerkin
We discuss the issues of implementation of a higher order discontinuous Galerkin (DG) scheme for aerodynamics computations. In recent years a DG method has intensively been studied at Central Aerohydrodynamic Institute (TsAGI) where a computational code has been designed for numerical solution of the 3-D Euler and Navier-Stokes equations. Our discussion is mainly based on the results of the DG study conducted in TsAGI in collaboration with the NUMECA...
Application of a multiphase flow code for investigation of influence of capillary pressure parameters on two-phase flow
We have developed a multiphase flow code that has been applied to study the behavior of non-aqueous phase liquids (NAPL) in the subsurface. We describe model formulation, discretization, and use the model for numerical investigation of sensitivity of the NAPL plume with respect to capillary parameters of the soil. In this paper the soil is assumed to be spatially homogeneous. A 2-D reference problem has been chosen and has been recomputed repeatedly with modified parameters of the Brooks–Corey capillary...
Application of analytic continuation to approximate solution of differential equation
Application of bounded operators and Lyapunov's majorizing equations to the analysis of differential equations with a small parameter
Application of Calderón's inverse problem in civil engineering
In specific fields of research such as preservation of historical buildings, medical imaging, geophysics and others, it is of particular interest to perform only a non-intrusive boundary measurements. The idea is to obtain comprehensive information about the material properties inside the considered domain while keeping the test sample intact. This paper is focused on such problems, i.e. synthesizing a physical model of interest with a boundary inverse value technique. The forward model is represented...
Application of differential equations for transforming the implicit functions into the explicit ones
Application of Hermitian Splines to the Initial Value Problem
Application of He's homotopy perturbation method for Cauchy problem of ill-posed nonlinear diffusion equation.
Application of He's variational iteration method to solve semidifferential equations of th order.
Application of Interpolation Theory to the Analysis of the Convergence Rate for Finite Difference Schemes of Parabolic Type
Application of interval arithmetic in the evaluation of transfer capabilities by considering the sources of uncertainty.
Application of matrix polynomials to investigation of singular equations.
Application of MCMC to change point detection
A nonstandard approach to change point estimation is presented in this paper. Three models with random coefficients and Bayesian approach are used for modelling the year average temperatures measured in Prague Klementinum. The posterior distribution of the change point and other parameters are estimated from the random samples generated by the combination of the Metropolis-Hastings algorithm and the Gibbs sampler.
Application of modified moments in the numerical solution of the Abel integral equation
Application of periodized harmonic wavelets towards solution of eigenvalue problems for integral equations.
Application of relaxation scheme to degenerate variational inequalities
In this paper we are concerned with the solution of degenerate variational inequalities. To solve this problem numerically, we propose a numerical scheme which is based on the relaxation scheme using non-standard time discretization. The approximate solution on each time level is obtained in the iterative way by solving the corresponding elliptic variational inequalities. The convergence of the method is proved.
Application of Richardson extrapolation with the Crank-Nicolson scheme for multi-dimensional advection
Multi-dimensional advection terms are an important part of many large-scale mathematical models which arise in different fields of science and engineering. After applying some kind of splitting, these terms can be handled separately from the remaining part of the mathematical model under consideration. It is important to treat the multi-dimensional advection in a sufficiently accurate manner. It is shown in this paper that high order of accuracy can be achieved when the well-known Crank-Nicolson...
Application of Rothe's method to a parabolic inverse problem with nonlocal boundary condition
We consider an inverse problem for the determination of a purely time-dependent source in a semilinear parabolic equation with a nonlocal boundary condition. An approximation scheme for the solution together with the well-posedness of the problem with the initial value is presented by means of the Rothe time-discretization method. Further approximation scheme via Rothe’s method is constructed for the problem when and the integral kernel in the nonlocal boundary condition is symmetric.