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Construction of Subdivision Surfaces by Fourth-Order Geometric Flows with G1 Boundary Conditions。
Based on some coupled discretizations, a local computational scheme is proposed and analyzed in this paper for a class of higher order 痭ite element eigenvalue approximations. Its e眂iency is proven b...
In this paper, an ecient numerical procedure is presented to implement the Gaussian Runge-Kutta (GRK) methods (also called Gauss methods). The GRK technique first discretizes each marching step of ...
Gradient, divergence and Laplace-Beltrami operators over surfaces have played im- portant roles in many 痚lds related to geometry and analysis, such as di甧rential ge- ometry, computational geometry a...
In this paper, we will discuss the mixed boundary value problems for the second order elliptic equation with rapidly oscillating coefficients in perforated domains, and will present the higher-order...
A high order finite difference-spectral method is derived for solving space fractional diffusion equations, by combining the second order finite difference method in time and the spectral Galerkin met...
The objective of the paper is to identify and investigate all possible types of asymptotic behavior for the maximum likelihood estimators of the unknown parameters in the second-order linear stochasti...
We study the (trace) norm of a linearly invariant family in the ball in $\C$. By adapting an approach that in one variable yields optimal results, we are able to derive an upper bound for the norm of ...
In the present paper we establish the necessary and sufficient conditions for two ordinary differential equations of the form $y"{}^2+A(x,y,y') y"+B(x,y,y')=0$ to be equivalent under the action of the...
We study general (not necessarily Hamiltonian) first-order symmetric systems $J y'(t)-B(t)y(t)=\D(t) f(t)$ on an interval $[a,b> $ with the regular endpoint $a$. The deficiency indices $n_\pm$ of the ...
Using nonstandard analysis we define a topology on the ring of germs of functions: $(mathbb R^n,0)\rightarrow(mathbb R,0)$. We prove that this topology is absolutely convex, Hausdorff, that convergent...
We find two involutions on partitions that lead to partition identities for Ramanujan's third order mock theta functions φ(-q) and ψ(-q). We also give an involution for Fine's partition identity on th...
The latest research trends in the wireless communications and standardizations [1] accentuate that the higher-order statistics (HOS) of the channel capacity are necessary to achieve a reliable and tru...
We address the issue of the second-order coherence of single surface plasmons launched by a quantum source of light into extended gold films. The quantum source of light is made of a scanning fluoresc...
We prove that the initial value problem (IVP) associated to the fifth order KdV equation {equation} \label{05KdV} \partial_tu-\alpha\partial^5_x u=c_1\partial_xu\partial_x^2u+c_2\partial_x(u\partial_x...

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