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tmy1977(½ð±Ò+1):Äú¸øµÄÕâ¸öÍøÖ·²»È¨Íþ¡£ÄúÄܲ»ÄܰÑÔÚweb of science ÉÏÕÒµ½µÄÎÄÕÂÊÕ¼µÄÍøÒ³·¢¸øÎÒ£¬Ð»Ð»£¡ 2010-04-20 16:35
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tmy1977
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3Â¥2010-04-20 16:49:40
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4Â¥2010-04-20 16:50:40
minlfish
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5Â¥2010-04-20 16:56:00
wellyy2005
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tmy1977(½ð±Ò+8):ллÁË£¡ 2010-04-20 17:20
6Â¥2010-04-20 17:04:48
sun21st
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tmy1977(½ð±Ò+3):лл£¡ 2010-04-20 17:22
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New Runge-Kutta Method for Stiff Oscillatory Problems with Two Frequencies ¸ü¶àÑ¡Ïî ×÷Õß: Fang YL (Fang, Yonglei)1, Ming QH (Ming, Qinghe) ±àÕß: Simos TE; Psihoyios G; Tsitouras C À´Ô´³ö°æÎï: NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2 ´ÔÊé: AIP Conference Proceedings ¾í: 1168 Ò³: 904-907 ³ö°æÄê: 2009 ±»ÒýƵ´Î: 0 ²Î¿¼ÎÄÏ×: 11 ÒýÖ¤¹ØÏµÍ¼ »áÒéÐÅÏ¢: International Conference on Numerical Analysis and Applied Mathematics Rethymno, GREECE, SEP 18-22, 2009 Greek Minist Educ & Religious Affairs; European Soc Computat Methods Sci & Engn ÕªÒª: In this paper, we present a novel Runge-Kutta method especially designed for the numerical integration of stiff oscillatory problems with two-frequency. The new method can exactly integrate the harmonic or unperturbed oscillators with different frequencies. Numerical stability and phase properties of the new method are analyzed. Numerical experiments are carried out to show the efficiency and robustness of our new method in comparison with the well known methods. ÎÄÏ×ÀàÐÍ: Proceedings Paper ÓïÑÔ: English ×÷Õ߹ؼü´Ê: Runge-kutta methods; Stiff; Oscillatory systems; Frequency KeyWords Plus: INITIAL-VALUE-PROBLEMS; EXPLICIT; STABILITY ͨѶ×÷ÕßµØÖ·: Fang, YL (ͨѶ×÷Õß), Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China µØÖ·: 1. Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China ³ö°æÉÌ: AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA IDS ºÅ: BMO15 ISSN: 0094-243X ISBN: 978-0-7354-0709-1 Ê©ÒýÎÄÏ×Áбí: 0 ±¾ÎÄÒѱ»ÒýÓà 0 ´Î (À´×Ô Web of Science)¡£ Related Records: ¸ù¾Ý¹²Í¬ÒýÓõIJο¼ÎÄÏײéÕÒÏàËÆ¼Ç¼ (À´×Ô Web of Science)¡£ [ ²é¿´ Related Records ] ²Î¿¼ÎÄÏ×: 11 ²é¿´´Ë¼Ç¼µÄÌâ¼ÐÅÏ¢ (À´×Ô Web of Science)¡£ ÆäËûÐÅÏ¢ ÔÚÆäËûÊý¾Ý¿âÖв鿴´Ë¼Ç¼: ²é¿´ÒýÎÄÊý¾Ý (À´×Ô Web of Science) |
7Â¥2010-04-20 17:07:32
sun21st
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tmy1977(½ð±Ò+2):3q 2010-04-20 17:22
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FN ISI Export Format VR 1.0 PT S AU Fang, YL Ming, QH AF Fang, Yonglei Ming, Qinghe ED Simos, TE; Psihoyios, G; Tsitouras, C TI New Runge-Kutta Method for Stiff Oscillatory Problems with Two Frequencies SO NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2 SE AIP Conference Proceedings LA English DT Proceedings Paper CT International Conference on Numerical Analysis and Applied Mathematics CY SEP 18-22, 2009 CL Rethymno, GREECE SP Greek Minist Educ & Religious Affairs, European Soc Computat Methods Sci & Engn DE Runge-kutta methods; Stiff; Oscillatory systems; Frequency ID INITIAL-VALUE-PROBLEMS; EXPLICIT; STABILITY AB In this paper, we present a novel Runge-Kutta method especially designed for the numerical integration of stiff oscillatory problems with two-frequency. The new method can exactly integrate the harmonic or unperturbed oscillators with different frequencies. Numerical stability and phase properties of the new method are analyzed. Numerical experiments are carried out to show the efficiency and robustness of our new method in comparison with the well known methods. C1 [Fang, Yonglei] Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China. RP Fang, YL, Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China. NR 11 TC 0 PU AMER INST PHYSICS PI MELVILLE PA 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA SN 0094-243X BN 978-0-7354-0709-1 J9 AIP CONF PROC PY 2009 VL 1168 BP 904 EP 907 PG 4 SC Physics, Multidisciplinary GA BMO15 UT ISI:000273023600218 ER EF |
8Â¥2010-04-20 17:08:28
wellyy2005
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tmy1977(½ð±Ò+8):ллÁË£¡£¡ 2010-04-20 17:20
9Â¥2010-04-20 17:10:02
sun21st
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tmy1977(½ð±Ò+2):3q 2010-04-20 17:22
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Impulsive Exponential Stabilization of Functional Differential Systems with Infinite Delay ¸ü¶àÑ¡Ïî ×÷Õß: Sun XL (Sun, Xiaoli)2, Li XD (Li, Xiaodi)1 À´Ô´³ö°æÎï: DISCRETE DYNAMICS IN NATURE AND SOCIETY ÎÄÏ×±àºÅ: 289480 ³ö°æÄê: 2009 ±»ÒýƵ´Î: 0 ²Î¿¼ÎÄÏ×: 26 ÒýÖ¤¹ØÏµÍ¼ ÕªÒª: By using the Razumikhin technique and Lyapunov functions, we investigated the impulsive exponential stabilization of functional differential systems with infinite delay. A new result on the exponential stabilization by impulses is gained. Our result shows that impulses can make unstable systems stable. A numerical example is given to illustrate the feasibility of the result. Copyright (C) 2009 X. Sun and X. Li. ÎÄÏ×ÀàÐÍ: Article ÓïÑÔ: English KeyWords Plus: RAZUMIKHIN-TYPE THEOREMS; STABILITY THEOREMS; EQUATIONS ͨѶ×÷ÕßµØÖ·: Li, XD (ͨѶ×÷Õß), Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China µØÖ·: 1. Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China 2. Zaozhuang Univ, Dept Math & Informat Sci, Zaozhuang 277100, Peoples R China µç×ÓÓʼþµØÖ·: sodymath@163.com ³ö°æÉÌ: HINDAWI PUBLISHING CORPORATION, 410 PARK AVENUE, 15TH FLOOR, #287 PMB, NEW YORK, NY 10022 USA IDS ºÅ: 559OV ISSN: 1026-0226 DOI: 10.1155/2009/289480 FN ISI Export Format VR 1.0 PT J AU Sun, XL Li, XD AF Sun, Xiaoli Li, Xiaodi TI Impulsive Exponential Stabilization of Functional Differential Systems with Infinite Delay SO DISCRETE DYNAMICS IN NATURE AND SOCIETY LA English DT Article ID RAZUMIKHIN-TYPE THEOREMS; STABILITY THEOREMS; EQUATIONS AB By using the Razumikhin technique and Lyapunov functions, we investigated the impulsive exponential stabilization of functional differential systems with infinite delay. A new result on the exponential stabilization by impulses is gained. Our result shows that impulses can make unstable systems stable. A numerical example is given to illustrate the feasibility of the result. Copyright (C) 2009 X. Sun and X. Li. C1 [Li, Xiaodi] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China. [Sun, Xiaoli] Zaozhuang Univ, Dept Math & Informat Sci, Zaozhuang 277100, Peoples R China. RP Li, XD, Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China. EM sodymath@163.com NR 26 TC 0 PU HINDAWI PUBLISHING CORPORATION PI NEW YORK PA 410 PARK AVENUE, 15TH FLOOR, #287 PMB, NEW YORK, NY 10022 USA SN 1026-0226 J9 DISCRETE DYN NAT SOC JI Discrete Dyn. Nat. Soc. PY 2009 AR 289480 DI 10.1155/2009/289480 PG 12 SC Mathematics, Interdisciplinary Applications; Multidisciplinary Sciences GA 559OV UT ISI:000274836200001 ER EF |
10Â¥2010-04-20 17:10:11














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