SCOPUS 정보 검색 플랫폼

Volumn 177, Issue 1, 2006, Pages 446-451

New conservation schemes for the nonlinear Schrödinger equation

Author keywords

Cayley transform; Lie group methods; Nonlinear Schr dinger equation; Square conservation scheme

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; NUMERICAL METHODS; STATE SPACE METHODS;

CAYLEY TRANSFORM; LIE GROUP METHODS; NONLINEAR SCHRÖDINGER EQUATION; SQUARE CONSERVATION SCHEME;

NONLINEAR EQUATIONS;

EID: 33744541571 PISSN: 00963003 EISSN: None Source Type: Journal
DOI: 10.1016/j.amc.2005.11.021 Document Type: Article

Times cited : (12)

References (9)

1
- 77957214313
- Conservation and nonconservation schemes for the solution of the nonlinear Schrödinger equation
- Sanz-Serna J.M., and Verwer J.G. Conservation and nonconservation schemes for the solution of the nonlinear Schrödinger equation. IMA J. Numer. Anal. 6 (1986) 25-42
- (1986) IMA J. Numer. Anal. , vol.6 , pp. 25-42
- Sanz-Serna, J.M.¹ Verwer, J.G.²

2
- 33744546501
- A conservation numerical scheme for nonlinear Schrödinger equation
- Zhang L., and Chang Q. A conservation numerical scheme for nonlinear Schrödinger equation. Chin. J. Comput. Phys. 16 16 (1999) 661-668
- (1999) Chin. J. Comput. Phys. , vol.16 , Issue.16 , pp. 661-668
- Zhang, L.¹ Chang, Q.²

3
- 0001131767
- On the implementation of the method of Magnus series for linear differential equations
- Iserles A., Marthinsen A., and Nørsett S.P. On the implementation of the method of Magnus series for linear differential equations. BIT 39 (1999) 281-304
- (1999) BIT , vol.39 , pp. 281-304
- Iserles, A.¹ Marthinsen, A.² Nørsett, S.P.³

4
- 0347669558
- Runge-Kutta Methods on Lie Groups
- Munthe Kaas H. Runge-Kutta Methods on Lie Groups. BIT 38 (1998) 92-111
- (1998) BIT , vol.38 , pp. 92-111
- Munthe Kaas, H.¹

5
- 33744510313
- Magnus methods of solving non-damping Landau-Lifshitz equation
- Sun J.-Q., Qin M.-Z., and Ma Z.-Q. Magnus methods of solving non-damping Landau-Lifshitz equation. Chin. J. Numer. Math. Appl. 26 1 (2004) 57-64
- (2004) Chin. J. Numer. Math. Appl. , vol.26 , Issue.1 , pp. 57-64
- Sun, J.-Q.¹ Qin, M.-Z.² Ma, Z.-Q.³

6
- 0010295721
- Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme
- Zhang F., Pérez-Garcia V.M., and Vázquez L. Numerical simulation of nonlinear Schrödinger systems: A new conservative scheme. Appl. Math. Comput. 71 2-3 (1995) 165-177
- (1995) Appl. Math. Comput. , vol.71 , Issue.2-3 , pp. 165-177
- Zhang, F.¹ Pérez-Garcia, V.M.² Vázquez, L.³

7
- 0036556457
- Square-conservation schemes for a class of evolution equation using Lie-group methods
- Chen J.B., Munthe-Kaas H., and Qin M.Z. Square-conservation schemes for a class of evolution equation using Lie-group methods. SIAM. J. Numer. Anal. 39 (2002) 2164-2178
- (2002) SIAM. J. Numer. Anal. , vol.39 , pp. 2164-2178
- Chen, J.B.¹ Munthe-Kaas, H.² Qin, M.Z.³

8
- 0002211850
- Stability of Runge-Kutta methods for trajectory problems
- Cooper G. Stability of Runge-Kutta methods for trajectory problems. IMA. J. Numer. Anal. 7 (1987) 1-13
- (1987) IMA. J. Numer. Anal. , vol.7 , pp. 1-13
- Cooper, G.¹

9
- 84867955067
- A novel numerical approach to simulating nonlinear Schrödinger equations with varying coefficients
- Hong J. A novel numerical approach to simulating nonlinear Schrödinger equations with varying coefficients. Appl. Math. Lett. 16 (2003) 759-765
- (2003) Appl. Math. Lett. , vol.16 , pp. 759-765
- Hong, J.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.