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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.17 No.4
- 발행연도
- 2013.12
- 수록면
- 238 - 266 (29page)
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초록· 키워드
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The Interaction Picture (IP) method is a valuable alternative to Split-step methods for solving certain types of partial differential equations such as the nonlinear Schrodinger equation or the Gross-Pitaevskii equation. Although very similar to the Symmetric Split-step (SS) method in its inner computational structure, the IP method results from a change of unknown and therefore do not involve approximation such as the one resulting from the use of a splitting formula. In its standard form the IP method such as the SS method is used in conjunction with the classical 4th order Runge-Kutta (RK) scheme. However it appears to be relevant to look for RK scheme of higher order so as to improve the accuracy of the IP method. In this paper we investigate 5th order Embedded Runge-Kutta schemes suited to be used in conjunction with the IP method and designed to deliver a local error estimation for adaptive step size control.
목차
ABSTRACT
1. INTRODUCTION
2. OVERVIEW OF THE INTERACTION PICTURE METHOD
3. EMBEDDED RUNGE-KUTTA 5(4) FORMULAE FOR THE IP METHOD
4. NUMERICAL EXPERIMENTS
5. CONCLUSION
REFERENCES
참고문헌 (31)
참고문헌 신청
1. [학위논문] - B.M. Caradoc-Davies / / Vortex dynamics in Bose-Einstein condensate / 박사 / University of Otago
2. [학위논문] - M.J. Davis / / Dynamics in Bose-Einstein condensate / 박사 / University of Oxford
3. [학술지(정기간행물)] - S. W¨uster / 2005 / Numerical study of the stability of skyrmions in Bose-Einstein condensates / Phys. Rev. A 72 (4)
4. [학술지(정기간행물)] - R. Scott / 2007 / Nonequilibrium dynamics: Studies of the reflection of Bose- Einstein condensates / Laser Phys 17 : 527 ~ 532
5. [학술지(정기간행물)] - C.N. Liu / 2009 / Numerical investigation of contrast degradation of Bose-Einstein condensate interferometers / Phys. Rev. A 79 (1)
2. [학위논문] - M.J. Davis / / Dynamics in Bose-Einstein condensate / 박사 / University of Oxford
3. [학술지(정기간행물)] - S. W¨uster / 2005 / Numerical study of the stability of skyrmions in Bose-Einstein condensates / Phys. Rev. A 72 (4)
4. [학술지(정기간행물)] - R. Scott / 2007 / Nonequilibrium dynamics: Studies of the reflection of Bose- Einstein condensates / Laser Phys 17 : 527 ~ 532
5. [학술지(정기간행물)] - C.N. Liu / 2009 / Numerical investigation of contrast degradation of Bose-Einstein condensate interferometers / Phys. Rev. A 79 (1)
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UCI(KEPA) : I410-ECN-0101-2015-400-001082045