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CAS IR Grid
机构
数学与系统科学研究院 [3]
长春光学精密机械与物... [1]
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OAI收割 [4]
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期刊论文 [3]
会议论文 [1]
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2012 [2]
2004 [1]
2003 [1]
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A new algorithm for solving the best-fit sphere of optical aspherical surface (EI CONFERENCE)
会议论文
OAI收割
2nd International Conference on Advances in Materials and Manufacturing, ICAMMP 2011, December 16, 2011 - December 18, 2011, Guilin, China
作者:
Lin J.
;
Lu M.
收藏
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浏览/下载:40/0
  |  
提交时间:2013/03/25
To solve the best-fit sphere (BFS) accurately is one of the technological keys for the generating and testing of optical aspherical surfaces. This paper presents a new algorithm for solving the BFS of aspherical surfaces to suppress some deficiencies in the existing BFS algorithms. In the proposed approach
it is not only suitable for the conic surface
a BFS is constructed
but also for higher order aspheres. The obtained asphericity and material removal function is more suitable for the machining and test. (2012) Trans Tech Publications
which passes through both sides of endpoints in the section o -?xy of the aspherical surfaces
Switzerland.
the center of the BFS is shifted along the x-axis
and its radius of curvature is automatically computed. The variable step size method is proposed to speed up the convergence of the iteration. Through numerically solving the BFS of conic and cubic surface
the advantages of the proposed approach are verified. The results show that the proposed approach is of rapid convergence
and high accuracy
BANDED TOEPLITZ PRECONDITIONERS FOR TOEPLITZ MATRICES FROM SINC METHODS
期刊论文
OAI收割
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2012, 卷号: 30, 期号: 5, 页码: 533-543
作者:
  |  
收藏
  |  
浏览/下载:19/0
  |  
提交时间:2021/01/14
FAST ITERATIVE METHODS
DIFFERENTIAL-EQUATIONS
SYSTEMS
Toeplitz matrix
Banded Toeplitz preconditioner
Generating function
Sinc method
Eigenvalue bounds
Symplectic schemes for Birkhoffian system
期刊论文
OAI收割
COMMUNICATIONS IN THEORETICAL PHYSICS, 2004, 卷号: 41, 期号: 3, 页码: 329-334
作者:
Su, HL
;
Qin, MZ
  |  
收藏
  |  
浏览/下载:15/0
  |  
提交时间:2018/07/30
Birkhoffran system
symplectic structure
generating function method
symplectic scheme
High order symplectic schemes for the sine-Gordon equation
期刊论文
OAI收割
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2003, 卷号: 72, 期号: 11, 页码: 2731-2736
作者:
Wang, YS
;
Wang, B
;
Ji, ZZ
;
Qin, MZ
  |  
收藏
  |  
浏览/下载:13/0
  |  
提交时间:2018/07/30
sine-Gordon equation
high order symplectic scheme
generating function method
variation derivative