Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Computer Engineering and Applications》 2010-01
Add to Favorite Get Latest Update

Automatic differentiation and its application in implicit curve plotting

SHOU Hua-hao,HE Ping,MIAO Yong-wei College of Science,Zhejiang University of Technology,Hangzhou 310023,China  
Automatic differentiation is a technique to evaluate the derivatives of a function defined by a computer program.This paper combines automatic differentiation technique with Taylor method and applies them into the subdivision based implicit curve plotting algorithm.A comparison of this new method with other two traditional methods is conducted which shows that the new method is more accurate.
【Fund】: 教育部留学回国基金;; 浙江省自然科学基金No.Y107311;; 浙江省中青年学科带头人基金~~
【CateGory Index】: TP391.41
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【Citations】
Chinese Journal Full-text Database 5 Hits
1 ZHANG Hai-bin, XUE Yi (College of Applied Sciences, Beijing University of Technology, Beijing 100022, China);On Automatic Differentiation[J];Journal of Beijing Polytechnic University;2005-03
2 Cheng Qiang~(1,2,3) Zhang Haibin~4 Wang Bin~1 (1.LASG,Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing 100029,China) (2.LSEC,Institute of Computational Mathematics and Science/Engineering Computing,Chinese Academy of Sciences,Beijing 100080,China) (3.Supercomputing Center(SC),Institute of Computer Network Information Center,Chinese Academy of Sciences,Beijing 100190,China) (4.College of Applied Sciences,Beijing University of Technology,Beijing 100124,China);ALGORITHMS OF AUTOMATIC DIFFERENTIATION[J];Mathematica Numerica Sinica;2009-01
3 ~1Chen Xiaoyu ~1Cheng Qiang ~2Song Jinshuan ~1Chi Xuebin ~2Wu Wei (1.Supercomputing Center of Chinese Academy of Science,Beijing 100190,China) (2.Department of Chemistry,Institute of Physical Chemistry,key Laboratory of Solid Surface Physical Chemistry,Xiamen University,Xiamen 361005,Fujian,China);USING AUTOMATIC DIFFERENTIATION IN THE OPTIMIZATION OF XIAMEN SOFTWARE[J];Journal on Numerical Methods and Computer Applications;2009-01
4 Pan Lei,Gu Liangxian,Gong Chunlin (College of Astronautics,Northwestern Polytechnical University,Xi′an 710072,China);Fast Automatic Differentiation and Its Application to Flight Vehicle Parameter Optimization[J];Journal of Northwestern Polytechnical University;2007-03
5 King Tong-Kong Shen-Yen;The TN method for graphical display and computer graphics(Ⅰ)[J];Journal of Zhejiang University;1979-01
【Co-citations】
Chinese Journal Full-text Database 4 Hits
1 ZHANG Hai-bin WANG Mei (College of Applied Sciences Beijing University of Technology,Beijing 100022,China);The Classified Algorithm With Automatic Differentiation[J];Journal of Beijing University of Technology;2007-06
2 Ma Feng-lei~(1,3) Zhang Yi-min~(1,2) Jiang Zhen-hai~3 (1.College of Mechanical Science & Engineering,Jilin University,Changchun 130022,China;2.School of Mechanical Engineering & Automation,Northeastern University,Shenyang 110004,China;3.School of Mechanical & Electricity Engineering,Changchun University of Technology,Changchun 130012,China);Stochastic finite element method based on automatic differentiation[J];Journal of Jilin University(Engineering and Technology Edition);2008-S1
3 WANG Yu,YU Xiong-qing(Nanjing University of Aeronautics and Astronautics,Jiangsu Nanjing,210016,China);The Formulation of Robust Optimization and Uncertainty Analysis,Searching Strategies[J];Manufacture Information Engineering of China;2008-03
4 Yu Xiongqing(Key Laboratory of Fundamental Science for National Defense-Advanced Design Technology of Flight Vehicle,Nanjing University of Aeronautics & Astronautics,Nanjing,210016,China);Multidisciplinary Design Optimization for Aircraft Conceptual and Preliminary Design:Status and Directions[J];Journal of Nanjing University of Aeronautics & Astronautics;2008-04
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 LI Xiang,ZHONG Wei tao,QIAN Ji xin (Institute of Systems Engineering, Zhejiang University, Hangzhou 310027, China);AUTOMATIC DIFFERENTIATION IN CHEMICAL ENGINEERING PROCESS OPTIMIZATION[J];Acta Petrolei Sinica (Petroleum Processing Section);2001-06
2 HAIBIN ZHANG(Department of Applied Mathematics, Beijing Polytechnic University, Beijing 100022, China)PING ZHONG CHUNHUA ZHANG(China Agriculture University (East Campus) 213, Beijing 100083, China);The Newton-PCG Algorithm via Automatic Differentiation[J];Or Transactions;2003-01
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved