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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Two families of $n$-rectangle nonconforming finite elements for sixth-order elliptic equations
六阶椭圆方程 矩形 有限元族
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2023/4/13
We propose two families of nonconforming finite elements on $n$-rectangle meshes of any dimension to solve the sixth-order elliptic equations. The unisolvent property and the approximation ability of ...
Effective Solution of Riemann Problem for Fifth Order Improperly Elliptic Equation on a Rectangle
polyharmonic Equation Boundary Value Problem Dirichlet Problem Improperly Elliptic Equation Riemann Problem Grid Method
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2013/1/30
In this paper we present a numerical method for solving Riemann type problem for the fifth order improperly elliptic equation in complex plane .We reduce this problem to the boundary value problems fo...
A new approach to the results of Kovari, Sos, and Turan concerning rectangle-free subsets of the grid
Turan concerning rectangle-free subsets of the grid Combinatorics
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2012/6/21
For positive integers $m$ and $n$, define $f(m,n)$ to be the smallest integer such that any subset $A$ of the $m \times n$ integer grid with $|A| \geq f(m,n)$ contains a rectangle; that is, there are ...
The nature of the Na I D-lines in the Red Rectangle
ISM: jets and outfl ows – stars: AGB and post-AGB – stars: individ-ual(HD 44179) – stars: mass-loss – binaries: close
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2011/10/19
In this paper we examine the profiles of the complex Na I D-lines in the Red Rectangle. The spectra were acquired with the ARCES \'{e}chelle spectrograph R = 38,000 on the 3.5-m telescope at the Apach...
Dissections of a metal rectangle
metal rectangle math
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2010/11/19
In the present popular science paper the following geometric questions are answered:
- Which rectangles can be dissected into squares?
- When a square can be dissected into rectangles similar to ...
Operational equations for the five-point rectangle, the geometric mean, and data in prismatic array
Interpolation Experimental design Shifting operator
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2010/9/14
This paper describes the results of three applications of operational calculus: new representations of five data in a rectangular array, new relationships among data in a prismatic array, and the oper...
An Analysis of Spectra in the Red Rectangle Nebula
Atmospheric effects planetary nebulae:general planetary nebulae:individual (HD 44179)
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2009/5/12
This paper presents an analysis of a series of spectra in the
Red Rectangle nebula. Only the reddest part of the spectra can safely be
attributed to light from the nebula, and indicates Rayleigh sca...