-
1
-
-
0000872568
-
Modulated waves in non-linear dispersive media
-
V.I. Karpman E.M. Krushkal 1969 Modulated waves in non-linear dispersive media Sov. Phys. JETP 28 277
-
(1969)
Sov. Phys. JETP
, vol.28
, pp. 277
-
-
Karpman, V.I.1
Krushkal, E.M.2
-
3
-
-
0002557939
-
Exact theory of two dimensional self focusing and one dimensional self waves in non-linear media
-
V.E. Zakharov A.B. Shabat 1972 Exact theory of two dimensional self focusing and one dimensional self waves in non-linear media Sov. Phys. JETP 34 62
-
(1972)
Sov. Phys. JETP
, vol.34
, pp. 62
-
-
Zakharov, V.E.1
Shabat, A.B.2
-
4
-
-
49149137309
-
Finite-difference solutions of a non-linear Schrodinger equation
-
M. Delfour M. Fortin G. Payne 1981 Finite-difference solutions of a non-linear Schrodinger equation J. Comput. Phys. 44 277 288
-
(1981)
J. Comput. Phys.
, vol.44
, pp. 277-288
-
-
Delfour, M.1
Fortin, M.2
Payne, G.3
-
5
-
-
48549114390
-
Analytical and numerical aspects of certain nonlinear evolution equations, II: Numerical, nonlinear Schrodinger equations
-
T.R. Taha M.J. Ablowitz 1984 Analytical and numerical aspects of certain nonlinear evolution equations, II: numerical, nonlinear Schrodinger equations J. Comput. Phys. 55 203 230
-
(1984)
J. Comput. Phys.
, vol.55
, pp. 203-230
-
-
Taha, T.R.1
Ablowitz, M.J.2
-
6
-
-
0023306712
-
An engineer's guide to soliton phenomena: Application of the finite element method
-
J. Argyris M. Haase 1987 An engineer's guide to soliton phenomena: application of the finite element method Comput. Methods Appl. Mech. Eng. 61 71 122
-
(1987)
Comput. Methods Appl. Mech. Eng.
, vol.61
, pp. 71-122
-
-
Argyris, J.1
Haase, M.2
-
7
-
-
0030867040
-
A finite-difference method for solving the cubic Schrodinger equation
-
E.H. Twizell A.G. Bratsos J.C. Newby 1997 A finite-difference method for solving the cubic Schrodinger equation Math. Comput. Simul. 43 67 75
-
(1997)
Math. Comput. Simul.
, vol.43
, pp. 67-75
-
-
Twizell, E.H.1
Bratsos, A.G.2
Newby, J.C.3
-
8
-
-
0032666585
-
A quartic B-spline finite element method for solving nonlinear Schrödinger equation
-
I. Daǧ 1999 A quartic B-spline finite element method for solving nonlinear Schrödinger equation Comput. Methods Appl. Mech. Eng. 174 247 258
-
(1999)
Comput. Methods Appl. Mech. Eng.
, vol.174
, pp. 247-258
-
-
Daǧ, I.1
-
9
-
-
0040249099
-
The quadrature discretization method in the solution of the Schrödinger equation
-
4
-
H. Chen B.D. Shizgal 1998 The quadrature discretization method in the solution of the Schrödinger equation J. Chem. 24 4 321 343
-
(1998)
J. Chem.
, vol.24
, pp. 321-343
-
-
Chen, H.1
Shizgal, B.D.2
-
10
-
-
0001149298
-
The quadrature discretization method in the solution of the Schrödinger equation with nonclassical basis functions
-
11
-
B.D. Shizgal H. Chen 1996 The quadrature discretization method in the solution of the Schrödinger equation with nonclassical basis functions J. Chem. Phys. 104 11 4137 4150
-
(1996)
J. Chem. Phys.
, vol.104
, pp. 4137-4150
-
-
Shizgal, B.D.1
Chen, H.2
-
11
-
-
0039065145
-
The quadrature discretization method in comparison with other numerical methods of solution of the Fokker-Planck for electron thermalization
-
4
-
K. Leung B.D. Shizgal H. Chen 1998 The quadrature discretization method in comparison with other numerical methods of solution of the Fokker-Planck for electron thermalization J. Math. Chem. 24 4 291 319
-
(1998)
J. Math. Chem.
, vol.24
, pp. 291-319
-
-
Leung, K.1
Shizgal, B.D.2
Chen, H.3
-
12
-
-
33845296960
-
Spectral convergence of the quadrature discretization method in the solution of the Schrödinger and Fokker-Planck equations: Comparison with Sinc methods
-
19
-
J. Lo B.D. Shizgal 2006 Spectral convergence of the quadrature discretization method in the solution of the Schrödinger and Fokker-Planck equations: comparison with Sinc methods J. Chem. Phys. 125 19 194108
-
(2006)
J. Chem. Phys.
, vol.125
, pp. 194108
-
-
Lo, J.1
Shizgal, B.D.2
-
13
-
-
0002800312
-
Differential quadrature: A technique for the rapid solution of nonlinear differential equations
-
R. Bellman B.G. Kashef J. Casti 1972 Differential quadrature: a technique for the rapid solution of nonlinear differential equations J. Comput. Phys. 10 40 52
-
(1972)
J. Comput. Phys.
, vol.10
, pp. 40-52
-
-
Bellman, R.1
Kashef, B.G.2
Casti, J.3
-
14
-
-
0024705632
-
New sightings in involving distributed system equations by the quadrature methods, i
-
J.R. Quan C.T. Chang 1989 New sightings in involving distributed system equations by the quadrature methods, I Comput. Chem. Eng. 13 779 788
-
(1989)
Comput. Chem. Eng.
, vol.13
, pp. 779-788
-
-
Quan, J.R.1
Chang, C.T.2
-
15
-
-
0024738766
-
New sightings in involving distributed system equations by the quadrature methods, II
-
J.R. Quan C.T. Chang 1989 New sightings in involving distributed system equations by the quadrature methods, II Comput. Chem. Eng. 13 71017 71024
-
(1989)
Comput. Chem. Eng.
, vol.13
, pp. 71017-71024
-
-
Quan, J.R.1
Chang, C.T.2
-
16
-
-
85025484620
-
Differential quadrature and splines
-
Pergamon Oxford
-
Bellman, R., Kashef, B., Lee, E.S., Vasudevan, R.: Differential quadrature and splines. In: Computers and Mathematics with Applications, pp. 371-376. Pergamon, Oxford (1976)
-
(1976)
Computers and Mathematics with Applications
, pp. 371-376
-
-
Bellman, R.1
Kashef, B.2
Lee, E.S.3
Vasudevan, R.4
-
17
-
-
0026939625
-
Application of generalized differential quadrature to solve two dimensional incompressible Navier-Stokes equations
-
C. Shu B.E. Richards 1992 Application of generalized differential quadrature to solve two dimensional incompressible Navier-Stokes equations Int. J. Numer. Methods Fluids 15 791 798
-
(1992)
Int. J. Numer. Methods Fluids
, vol.15
, pp. 791-798
-
-
Shu, C.1
Richards, B.E.2
-
18
-
-
33846698913
-
Integrated radial basis functions-based differential quadrature method and its performance
-
C. Shu Y.L. Wu 2007 Integrated radial basis functions-based differential quadrature method and its performance Int. J. Numer. Methods Fluids 53 969 984
-
(2007)
Int. J. Numer. Methods Fluids
, vol.53
, pp. 969-984
-
-
Shu, C.1
Wu, Y.L.2
-
19
-
-
0031187639
-
Explicit computation of weighting coefficients in the harmonic differential quadrature
-
3
-
C. Shu H. Xue 1997 Explicit computation of weighting coefficients in the harmonic differential quadrature J. Sound Vib. 204 3 549 555
-
(1997)
J. Sound Vib.
, vol.204
, pp. 549-555
-
-
Shu, C.1
Xue, H.2
-
20
-
-
0029231934
-
Harmonic differential quadrature method and applications to analysis of structural components
-
A.G. Striz X. Wang C.W. Bert 1995 Harmonic differential quadrature method and applications to analysis of structural components Acta Mech. 111 85 94
-
(1995)
Acta Mech.
, vol.111
, pp. 85-94
-
-
Striz, A.G.1
Wang, X.2
Bert, C.W.3
-
21
-
-
0345832022
-
Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns
-
2
-
Ö. Civalek 2004 Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns Eng. Struct. Int. J. 26 2 171 186
-
(2004)
Eng. Struct. Int. J.
, vol.26
, pp. 171-186
-
-
Civalek O.̈1
-
22
-
-
33646739297
-
Harmonic differential quadrature-finite differences coupled approaches for geometrically nonlinear static and dynamic analysis of rectangular plates on elastic foundation
-
Ö Civalek 2006 Harmonic differential quadrature-finite differences coupled approaches for geometrically nonlinear static and dynamic analysis of rectangular plates on elastic foundation J. Sound Vib. 294 966 980
-
(2006)
J. Sound Vib.
, vol.294
, pp. 966-980
-
-
Civalek O.̈1
-
23
-
-
21044453159
-
Polynomial and harmonic differential quadrature methods for free vibration of variable thickness thick skew plates
-
P. Malekzadeh G. Karami 2005 Polynomial and harmonic differential quadrature methods for free vibration of variable thickness thick skew plates Eng. Struct. 27 1563 1574
-
(2005)
Eng. Struct.
, vol.27
, pp. 1563-1574
-
-
Malekzadeh, P.1
Karami, G.2
-
24
-
-
0242678334
-
Numerical simulation of natural convection between two elliptical cylinders using DQ method
-
Y.D. Zhu C. Shu J. Qiu J. Tani 2004 Numerical simulation of natural convection between two elliptical cylinders using DQ method Int. J. Heat Mass Transf. 47 797 808
-
(2004)
Int. J. Heat Mass Transf.
, vol.47
, pp. 797-808
-
-
Zhu, Y.D.1
Shu, C.2
Qiu, J.3
Tani, J.4
-
25
-
-
0742284366
-
Application of GDQ method for study of mixed convection in horizontal eccentric annuli
-
1
-
T.S. Lee G.S. Hu C. Shu 2004 Application of GDQ method for study of mixed convection in horizontal eccentric annuli Int. J. Comput. Fluid Dyn. 18 1 71 79
-
(2004)
Int. J. Comput. Fluid Dyn.
, vol.18
, pp. 71-79
-
-
Lee, T.S.1
Hu, G.S.2
Shu, C.3
-
26
-
-
1142293059
-
Spline-based differential quadrature for fourth order differential equations and its application to Kirchhoff plates
-
H. Zhong 2004 Spline-based differential quadrature for fourth order differential equations and its application to Kirchhoff plates Appl. Math. Model. 28 353 366
-
(2004)
Appl. Math. Model.
, vol.28
, pp. 353-366
-
-
Zhong, H.1
-
28
-
-
0001257175
-
Numerical experience with the nonlinear Schrödinger equation
-
B.M. Herbst J.L. Morris A.R. Mitchel 1985 Numerical experience with the nonlinear Schrödinger equation J. Comput. Phys. 60 282 305
-
(1985)
J. Comput. Phys.
, vol.60
, pp. 282-305
-
-
Herbst, B.M.1
Morris, J.L.2
Mitchel, A.R.3
-
29
-
-
0000471386
-
An envelope soliton problems
-
J.W. Miles 1981 An envelope soliton problems SIAM J. Appl. Math. 41 227 230
-
(1981)
SIAM J. Appl. Math.
, vol.41
, pp. 227-230
-
-
Miles, J.W.1
-
30
-
-
0017901962
-
A numerical and theoretical study of certain nonlinear wave phenomena
-
B. Fornberg G.B. Whitham 1978 A numerical and theoretical study of certain nonlinear wave phenomena Philos. Trans. R. Soc. Lond. 289 373 404
-
(1978)
Philos. Trans. R. Soc. Lond.
, vol.289
, pp. 373-404
-
-
Fornberg, B.1
Whitham, G.B.2
-
32
-
-
21144463748
-
A Leapfrog algorithm and stability studies for the non-linear Schrodinger equation
-
Gardner, L.R.T., Gardner, G.A., Zaki, S.I., Sharawi, Z.E.: A Leapfrog algorithm and stability studies for the non-linear Schrodinger equation. Arab. J. Sci. Eng., 23-32 (1993)
-
(1993)
Arab. J. Sci. Eng.
, pp. 23-32
-
-
Gardner, L.R.T.1
Gardner, G.A.2
Zaki, S.I.3
Sharawi, Z.E.4
-
33
-
-
0002557939
-
Exact theory of two dimensional self-focusing and one dimensional self-modulation of waves in nonlinear media
-
V.E. Zacharov A.B. Shabat 1972 Exact theory of two dimensional self-focusing and one dimensional self-modulation of waves in nonlinear media Sov. Phys. JETP 34 62 69
-
(1972)
Sov. Phys. JETP
, vol.34
, pp. 62-69
-
-
Zacharov, V.E.1
Shabat, A.B.2
-
34
-
-
38249029515
-
An investigation into effect of product approximation in the numerical solution of the cubic nonlinear Schrödinger equation
-
Y. Tourigny J.L. Morris 1988 An investigation into effect of product approximation in the numerical solution of the cubic nonlinear Schrödinger equation J. Comput. Phys. 76 103 130
-
(1988)
J. Comput. Phys.
, vol.76
, pp. 103-130
-
-
Tourigny, Y.1
Morris, J.L.2
|