Analytical and numerical methods for the CMKdV-II equation.
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 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 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 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.
Application of Rothe's method to evolution integrodifferential systems
Applications of approximate gradient schemes for nonlinear parabolic equations
We develop gradient schemes for the approximation of the Perona-Malik equations and nonlinear tensor-diffusion equations. We prove the convergence of these methods to the weak solutions of the corresponding nonlinear PDEs. A particular gradient scheme on rectangular meshes is then studied numerically with respect to experimental order of convergence which shows its second order accuracy. We present also numerical experiments related to image filtering by time-delayed Perona-Malik and tensor diffusion...
Applications of nonlinear diffusion in image processing and computer vision.
Applying He's variational iteration method for solving differential-difference equation.
Approximate general solution of degenerate parabolic equations related to population genetics.
Approximate Solutions Of The Operator Linear Differential Equation II
Approximate solutions of the operator linear differential equation I.
Approximation d'équations aux dérivées partielles par des méthodes de décomposition
Approximation in the Finite Element Method.
Approximation numérique de certaines équations paraboliques non linéaires
Approximation of a Bending Plate Problem With a Boundary Unilateral Constraint.
Approximation of control problems involving ordinary and impulsive controls
In this paper we study an approximation scheme for a class of control problems involving an ordinary control v, an impulsive control u and its derivative . Adopting a space-time reparametrization of the problem which adds one variable to the state space we overcome some difficulties connected to the presence of . We construct an approximation scheme for that augmented system, prove that it converges to the value function of the augmented problem and establish an error estimates in L∞ for this approximation....