1 - 8 of 8 articles
The paper presents the variational formulation and well posedness of the coupling method of finite elements and boundary elements for radiation problem. The convergence and optimal error estimate for the approximate solution and numerical experiment are provided.
The discrete Sobolev's inequalities inL
p norm are proved for three-dimensional spherical and cylindrical coordinates, by using discrete Hölder inequality, property of the triangle functions and complicated deduction.
In this paper, we consider the Neumann boundary value problem of Schrödinger operator with measure potential μ. First, a martingale formulation of the Neumann problem and an analytic characterization of the martingale formulation are given. Then, by using the Dirichlet forms and Stochastic...
A degenerate parabolic system arising from the fluid-solute-heat flow through unsaturated porous media is considered. The existence of weak solutions to the initial boundary value problem of this system is established by parabolic regularization. The regularity is proved as well, i. e. the weak...
A degenerate parabolic system arising from the fluid-solute-heat flow through partially saturated porous media is considered. The existence of weak solutions to the initial boundary value problem of this system is established by time discretization, and the continuity of the weak solutions is...
In this paper, we discuss Markovian decision programming with recursive vector-reward and give an algorithm to find optimal policies.
In this paper, numerical methods for solving the ‘good’ Boussinesq equation (G. B.) are considered. A fourth order accurate, difference scheme which satisfies the conservation laws is proposed. Under certain condition, the proof of stability, convergence and error estimation of this scheme is...
LetX(n) be a time series satisfying the following ARUMA (p, d, q) models:
$$U(B)A(B)X(n) = C(B)W(n)$$
whereU(B)=1+u(1)B+ ... +u(d)B
d is a polynomial with all roots on the unit circle,A(B)=1+a(1)B+ ... +a(p)B
p is a polynomial with all roots outside the unit circle,C(B)=1+c(1)B+...+c(q)B
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