-
2
-
-
51249188808
-
Theory and applications of sine-Gordon equation
-
Barone A., Esposito F., Magee C.J., Scott A.C. Theory and applications of sine-Gordon equation. Rivista Nuovo Cimento 1971, 1:227-267.
-
(1971)
Rivista Nuovo Cimento
, vol.1
, pp. 227-267
-
-
Barone, A.1
Esposito, F.2
Magee, C.J.3
Scott, A.C.4
-
3
-
-
40749131187
-
A numerical method for one-dimensional nonlinear sine-Gordon equation using collocation and radial basis functions
-
Dehghan M., Shokri A. A numerical method for one-dimensional nonlinear sine-Gordon equation using collocation and radial basis functions. Numer. Methods Partial Differential Equations 2007, 10.1002/num.20289.
-
(2007)
Numer. Methods Partial Differential Equations
-
-
Dehghan, M.1
Shokri, A.2
-
4
-
-
0023306712
-
An engineer's guide to soliton phenomena: Application of the finite element method
-
Argyris J., Haase M. An engineer's guide to soliton phenomena: Application of the finite element method. Comput. Methods Appl. Mech. Engrg. 1987, 61:71-122.
-
(1987)
Comput. Methods Appl. Mech. Engrg.
, vol.61
, pp. 71-122
-
-
Argyris, J.1
Haase, M.2
-
6
-
-
0039176497
-
On the numerical solution of the sine-Gordon equation II. Performance of numerical schemes
-
Ablowitz M.J., Herbst B.M., Schober C.M. On the numerical solution of the sine-Gordon equation II. Performance of numerical schemes. J. Comput. Phys. 1997, 131:354-367.
-
(1997)
J. Comput. Phys.
, vol.131
, pp. 354-367
-
-
Ablowitz, M.J.1
Herbst, B.M.2
Schober, C.M.3
-
7
-
-
35349016929
-
Numerical solution of sine-Gordon equation by variational iteration method
-
Batiha B., Noorani M.S.M., Hashim I. Numerical solution of sine-Gordon equation by variational iteration method. Phys. Lett. A 2007, 370:437-440.
-
(2007)
Phys. Lett. A
, vol.370
, pp. 437-440
-
-
Batiha, B.1
Noorani, M.S.M.2
Hashim, I.3
-
8
-
-
66049106086
-
Fourth-order compact scheme for the one-dimensional sine-Gordon equation
-
Cui M. Fourth-order compact scheme for the one-dimensional sine-Gordon equation. Numer. Methods Partial Differential Equations 2009, 25:685-711.
-
(2009)
Numer. Methods Partial Differential Equations
, vol.25
, pp. 685-711
-
-
Cui, M.1
-
9
-
-
63449096068
-
Application of homotopy-perturbation method to Klein-Gordon and sine-Gordon equations
-
Chowdhury M.S.H., Hashim I. Application of homotopy-perturbation method to Klein-Gordon and sine-Gordon equations. Chaos Solitons Fractals 2009, 39:1928-1935.
-
(2009)
Chaos Solitons Fractals
, vol.39
, pp. 1928-1935
-
-
Chowdhury, M.S.H.1
Hashim, I.2
-
10
-
-
56249086875
-
The boundary integral equation approach for numerical solution of the one-dimensional sine-Gordon equation
-
Dehghan M., Mirzaei D. The boundary integral equation approach for numerical solution of the one-dimensional sine-Gordon equation. Numer. Methods Partial Differential Equations 2008, 24:1405-1415.
-
(2008)
Numer. Methods Partial Differential Equations
, vol.24
, pp. 1405-1415
-
-
Dehghan, M.1
Mirzaei, D.2
-
11
-
-
0002025756
-
Two energy conserving numerical schemes for the sine-Gordon equation
-
Fei Z., V-zquez L. Two energy conserving numerical schemes for the sine-Gordon equation. Appl. Math. Comput. 1991, 45:17-30.
-
(1991)
Appl. Math. Comput.
, vol.45
, pp. 17-30
-
-
Fei, Z.1
V-zquez, L.2
-
12
-
-
0001997591
-
Numerical solution of the sine-Gordon equation
-
Guo B.Y., Pascual P.J., Rodriguez M.J., V-zquez L. Numerical solution of the sine-Gordon equation. Appl. Math. Comput. 1986, 18:1-14.
-
(1986)
Appl. Math. Comput.
, vol.18
, pp. 1-14
-
-
Guo, B.Y.1
Pascual, P.J.2
Rodriguez, M.J.3
V-zquez, L.4
-
13
-
-
78149410426
-
Numerical study of an initial-boundary value problem of the sine-Gordon equation
-
Guo B.Y., Yan X.P. Numerical study of an initial-boundary value problem of the sine-Gordon equation. Acta Math. Sci. 1989, 9:287-296.
-
(1989)
Acta Math. Sci.
, vol.9
, pp. 287-296
-
-
Guo, B.Y.1
Yan, X.P.2
-
14
-
-
77951141716
-
Generalized Jacobi rational spectral method and its applications
-
Guo B.Y., Yi Y.G. Generalized Jacobi rational spectral method and its applications. J. Sci. Comput. 2010, 43:201-238.
-
(2010)
J. Sci. Comput.
, vol.43
, pp. 201-238
-
-
Guo, B.Y.1
Yi, Y.G.2
-
15
-
-
0001167255
-
Numerical homoclinic instabilities in the sine-Gordon equation
-
Herbst B.M., Ablowitz M.J. Numerical homoclinic instabilities in the sine-Gordon equation. Quaest. Math. 1992, 15:345-363.
-
(1992)
Quaest. Math.
, vol.15
, pp. 345-363
-
-
Herbst, B.M.1
Ablowitz, M.J.2
-
16
-
-
35248814929
-
Multi-Symplectic Spectral Methods for the Sine-Gordon Equation
-
Springer-Verlag, Berlin-Heidelberg
-
Islas A.L., Schober C.M. Multi-Symplectic Spectral Methods for the Sine-Gordon Equation. Lecture Notes in Comput. Sci. 2003, vol. 2658. Springer-Verlag, Berlin-Heidelberg.
-
(2003)
Lecture Notes in Comput. Sci.
, vol.2658
-
-
Islas, A.L.1
Schober, C.M.2
-
17
-
-
0038440013
-
A predictor-corrector scheme for the sine-Gordon equation
-
Khaliq A.Q.M., Abukhodair B., Sheng Q., Ismail M.S. A predictor-corrector scheme for the sine-Gordon equation. Numer. Methods Partial Differential Equations 2000, 16:133-146.
-
(2000)
Numer. Methods Partial Differential Equations
, vol.16
, pp. 133-146
-
-
Khaliq, A.Q.M.1
Abukhodair, B.2
Sheng, Q.3
Ismail, M.S.4
-
18
-
-
0034923589
-
Symplectic computation of solitary waves for general sine-Gordon equations
-
Lu X. Symplectic computation of solitary waves for general sine-Gordon equations. Math. Comput. Simulation 2001, 55:519-532.
-
(2001)
Math. Comput. Simulation
, vol.55
, pp. 519-532
-
-
Lu, X.1
-
19
-
-
0035841403
-
The sine-Gordon equation in the finite line
-
Ramos J.I. The sine-Gordon equation in the finite line. Appl. Math. Comput. 2001, 124:45-93.
-
(2001)
Appl. Math. Comput.
, vol.124
, pp. 45-93
-
-
Ramos, J.I.1
-
20
-
-
27844591478
-
Energy conserving difference scheme for initial-boundary value problem of the sine-Gordon equation
-
Edition of Natural Science
-
Zhang L. Energy conserving difference scheme for initial-boundary value problem of the sine-Gordon equation. J. Univ. Petrol. China 1999, 23:100-103. Edition of Natural Science.
-
(1999)
J. Univ. Petrol. China
, vol.23
, pp. 100-103
-
-
Zhang, L.1
-
21
-
-
74249104801
-
A conserving nine points finite difference scheme for the sine-Gordon equation
-
Zhang L., Chang Q. A conserving nine points finite difference scheme for the sine-Gordon equation. Math. Appl. 1992, 12:30-35.
-
(1992)
Math. Appl.
, vol.12
, pp. 30-35
-
-
Zhang, L.1
Chang, Q.2
-
22
-
-
0037507444
-
A numerical solution of the sine-Gordon equation using the modified decomposition method
-
Doǧan Kaya A numerical solution of the sine-Gordon equation using the modified decomposition method. Appl. Math. Comput. 2003, 143:309-317.
-
(2003)
Appl. Math. Comput.
, vol.143
, pp. 309-317
-
-
Doǧan, K.1
-
23
-
-
0035888656
-
A multilevel method for solving operator equations
-
Chen Z., Micchelli C.A., Xu Y. A multilevel method for solving operator equations. J. Math. Anal. Appl. 2001, 262:688-699.
-
(2001)
J. Math. Anal. Appl.
, vol.262
, pp. 688-699
-
-
Chen, Z.1
Micchelli, C.A.2
Xu, Y.3
-
24
-
-
0036556665
-
Fast collocation methods for second kind integral equations
-
Chen Z., Micchelli C.A., Xu Y. Fast collocation methods for second kind integral equations. SIAM J. Numer. Anal. 2002, 40:344-375.
-
(2002)
SIAM J. Numer. Anal.
, vol.40
, pp. 344-375
-
-
Chen, Z.1
Micchelli, C.A.2
Xu, Y.3
-
25
-
-
31844437667
-
Multilevel augmentation methods for solving operator equations
-
Chen Z., Wu B., Xu Y. Multilevel augmentation methods for solving operator equations. Numer. Math. J. Chinese Univ. 2005, 14:31-55.
-
(2005)
Numer. Math. J. Chinese Univ.
, vol.14
, pp. 31-55
-
-
Chen, Z.1
Wu, B.2
Xu, Y.3
-
26
-
-
77955282095
-
Fast multilevel augmentation methods for solving Hammerstein equations
-
Chen Z., Wu B., Xu Y. Fast multilevel augmentation methods for solving Hammerstein equations. SIAM J. Numer. Anal. 2009, 47:2321-2346.
-
(2009)
SIAM J. Numer. Anal.
, vol.47
, pp. 2321-2346
-
-
Chen, Z.1
Wu, B.2
Xu, Y.3
-
27
-
-
31844438376
-
A multilevel augmentation method for solving ill-posed operator equations
-
Chen Z., Xu Y., Yang H. A multilevel augmentation method for solving ill-posed operator equations. Inverse Problems 2006, 22:155-174.
-
(2006)
Inverse Problems
, vol.22
, pp. 155-174
-
-
Chen, Z.1
Xu, Y.2
Yang, H.3
-
28
-
-
33645774702
-
Multilevel augmentation methods for differential equations
-
Chen Z., Wu B., Xu Y. Multilevel augmentation methods for differential equations. Adv. Comput. Math. 2006, 24:213-238.
-
(2006)
Adv. Comput. Math.
, vol.24
, pp. 213-238
-
-
Chen, Z.1
Wu, B.2
Xu, Y.3
-
29
-
-
27844601537
-
Shadow block iteration for solving linear systems obtained from wavelet transforms
-
Lu Y., Shen L., Xu Y. Shadow block iteration for solving linear systems obtained from wavelet transforms. Appl. Comput. Harmon. Anal. 2005, 19:359-385.
-
(2005)
Appl. Comput. Harmon. Anal.
, vol.19
, pp. 359-385
-
-
Lu, Y.1
Shen, L.2
Xu, Y.3
-
32
-
-
49949146623
-
Perturbed Galerkin method and general theory of approximate methods for nonlinear equations
-
English transl.
-
Vainikko G.M. Perturbed Galerkin method and general theory of approximate methods for nonlinear equations. Ž. Vyčisl. Mat. Mat. Fiz.. USSR Comput. Math. Math. Phys. 1967, 7:1-41. English transl.
-
(1967)
Ž. Vyčisl. Mat. Mat. Fiz.. USSR Comput. Math. Math. Phys.
, vol.7
, pp. 1-41
-
-
Vainikko, G.M.1
-
33
-
-
0023537268
-
Projection and iterated projection methods for nonlinear integral equations
-
Atkinson K.E., Potra F.A. Projection and iterated projection methods for nonlinear integral equations. SIAM J. Numer. Anal. 1987, 24:1352-1373.
-
(1987)
SIAM J. Numer. Anal.
, vol.24
, pp. 1352-1373
-
-
Atkinson, K.E.1
Potra, F.A.2
-
35
-
-
78149412324
-
The existence and uniqueness of solution for a generalized sine-Gordon equation
-
Zhu Z., Lu Y. The existence and uniqueness of solution for a generalized sine-Gordon equation. Chinese Quart. J. Math. 2000, 15:71-77.
-
(2000)
Chinese Quart. J. Math.
, vol.15
, pp. 71-77
-
-
Zhu, Z.1
Lu, Y.2
-
36
-
-
0000807980
-
L2-estimates for Galerkin methods for second order hyperbolic equations
-
Dupont T. L2-estimates for Galerkin methods for second order hyperbolic equations. SIAM J. Numer. Anal. 1973, 10:880-899.
-
(1973)
SIAM J. Numer. Anal.
, vol.10
, pp. 880-899
-
-
Dupont, T.1
|