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  ÆÚ¿¯£º¡¶Journal of the Operations Research Society of Japan ¡·2009£º52(1).
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2¡£ÎÄÕÂÃû£º¡¶Impulsive Exponential Stabilization of Functional Differential Systems with Infinite Delay¡·£¨SCI£©
  ×÷ÕߣºSun Xiaoli and Xiaodi Li2;
  ÆÚ¿¯ : ¡¶Discrete Dynamics in Nature and Society¡·Volume 2009 (2009), Article ID 289480, 12 pages
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3¡£ÎÄÕÂÃû£º¡¶New Runge©\Kutta Method for Stiff Oscillatory Problems with Two Frequencies¡·£¨ISTP£©
   ×÷Õß Yonglei Fang and Qinghe Ming
    ÆÚ¿¯ : NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2; doi:10.1063/1.3241628
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tmy1977(½ð±Ò+3):лл£¡ 2010-04-20 17:22
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  

               
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sun21st

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tmy1977(½ð±Ò+2):3q 2010-04-20 17:22
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
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

wellyy2005

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tmy1977(½ð±Ò+8):ллÁË£¡£¡ 2010-04-20 17:20
9Â¥2010-04-20 17:10:02
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sun21st

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tmy1977(½ð±Ò+2):3q 2010-04-20 17:22
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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