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	Cascadic multigrid methods for parabolic problems 期刊论文 OAI收割 SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 卷号: 51, 期号: 8, 页码: 1415-1439 作者: Du Qiang; Ming PingBing \| 收藏 \| 浏览/下载：24/0 \| 提交时间：2018/07/30 cascadic multigrid method parabolic problem finite element methods backward Euler scheme smoother stability optimal error order optimal complexity
	Key techniques of laser direct writing of fine lines on the spherical surface (EI CONFERENCE) 会议论文 OAI收割 ICO20: Optical Design and Fabrication, August 21, 2005 - August 26, 2005, Changchun, China Liang F.; Hu J. 收藏 \| 浏览/下载：25/0 \| 提交时间：2013/03/25 The main principles of laser direct writing (LDW) system for lines on the spherical surface (SS) are discussed. It is pointed out that line profile is determined by the exposure dose distribution which lies on the light intensity distribution of focus plane and the scanning speed. To improve the quality of line profile on the SS several key techniques as follows are introduced. Firstly the unique system configuration four axes mutually intersecting at the center of the SS is adopted which ensures the shape of the focus be maintained circular during the writing period. Secondly an automatic focus system (AFS) with the function of automatic focus in a certain range is introduced. Thirdly to guarantee the linear velocity to accord with the exposure character of the photoresist all the time an efficient arithmetic that controls motors run at appropriate angular velocity in different latitude is developed. Finally to achieve a stable and well-behaved system so as to compensate the velocity instability resulting from unavoidable errors of mechanical and electronics factor a powerful programmable multi-axis controller (PMAC) is utilized as the kernel element of the servocontrol system and the curves of step response and parabolic response achieved by feedforward and PID loop tuning indicate that the location precision and velocity stability have reached a high level. The experimental results of LDW of lines on the SS work piece with a diameter 30 mm and a radius equal to 100 mm are given. The section analysis of the lines on the photoresist by the atomic force microscope (AFM) after exposure and development is performed. The results show that line width is about 3.0 m and the steep sides of the lines are parallel to each other.
	Analysis and application of ellipticity of stability equations on fluid mechanics 期刊论文 OAI收割 Applied Mathematics and Mechanics (English Edition), 2003, 卷号: 24, 期号: 11, 页码: 1334-1341 作者: Li MJ(李明军); Gao Z(高智) 收藏 \| 浏览/下载：832/40 \| 提交时间：2009/08/03 Compressible Fluid Parabolic Stability Equation Characteristic Sub-Characteristic
	Long-time stability of finite element approximations for parabolic equations with memory 期刊论文 OAI收割 NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 1999, 卷号: 15, 期号: 3, 页码: 333-354 作者: Allegretto, W; Lin, YP; Zhou, AH \| 收藏 \| 浏览/下载：23/0 \| 提交时间：2018/07/30 parabolic integro-differential long-time error estimates finite element stability
	Parabolic stable Higgs bundles over complete noncompact Riemann surfaces 期刊论文 OAI收割 SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1999, 卷号: 42, 期号: 3, 页码: 255-263 作者: Li, JY; Wang, YD \| 收藏 \| 浏览/下载：20/0 \| 提交时间：2018/07/30 Higgs bundle Hermitian-Einstein metric parabolic stability Riemann surface