-
2
-
-
0032136132
-
A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
-
Atluri S.N., and Zhu T. A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Comput. Mech. 22 (1998) 117-127
-
(1998)
Comput. Mech.
, vol.22
, pp. 117-127
-
-
Atluri, S.N.1
Zhu, T.2
-
3
-
-
0001022815
-
A new meshless local Petrov-Galerkin (MLPG) approach to nonlinear problems in computer modeling and simulation
-
Atluri S.N., and Zhu T. A new meshless local Petrov-Galerkin (MLPG) approach to nonlinear problems in computer modeling and simulation. Comput. Model. Simul. Eng. 3 3 (1998) 187-196
-
(1998)
Comput. Model. Simul. Eng.
, vol.3
, Issue.3
, pp. 187-196
-
-
Atluri, S.N.1
Zhu, T.2
-
5
-
-
0033872785
-
The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics
-
Atluri S.N., and Zhu T. The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics. Comput. Mech. 25 (2000) 169-179
-
(2000)
Comput. Mech.
, vol.25
, pp. 169-179
-
-
Atluri, S.N.1
Zhu, T.2
-
7
-
-
0029378909
-
Element free Galerkin methods for static and dynamic fracture
-
Belytschko T., Lu Y.Y., and Gu L. Element free Galerkin methods for static and dynamic fracture. Int. J. Solids Struct. 32 (1995) 2547-2570
-
(1995)
Int. J. Solids Struct.
, vol.32
, pp. 2547-2570
-
-
Belytschko, T.1
Lu, Y.Y.2
Gu, L.3
-
8
-
-
0023166078
-
Applications of smoothed particle hydrodynamics (SPH) to astrophysical problems
-
Benz W. Applications of smoothed particle hydrodynamics (SPH) to astrophysical problems. Comput. Phys. Comm. 48 (1988) 97-105
-
(1988)
Comput. Phys. Comm.
, vol.48
, pp. 97-105
-
-
Benz, W.1
-
9
-
-
50449092707
-
An improved numerical scheme for the sine-Gordon equation in 2 + 1 dimensions
-
Bratsos A.G. An improved numerical scheme for the sine-Gordon equation in 2 + 1 dimensions. Int. J. Numer. Meth. Eng. 75 (2008) 787-799
-
(2008)
Int. J. Numer. Meth. Eng.
, vol.75
, pp. 787-799
-
-
Bratsos, A.G.1
-
10
-
-
33847382284
-
An explicit numerical scheme for the sine-Gordon equation in 2 + 1 dimensions
-
Bratsos A.G. An explicit numerical scheme for the sine-Gordon equation in 2 + 1 dimensions. Appl. Numer. Anal. Comput. Math. 2 (2005) 189-211
-
(2005)
Appl. Numer. Anal. Comput. Math.
, vol.2
, pp. 189-211
-
-
Bratsos, A.G.1
-
11
-
-
35748982165
-
A third order numerical scheme for the two-dimensional, sine-Gordon equation
-
Bratsos A.G. A third order numerical scheme for the two-dimensional, sine-Gordon equation. Math. Comput. Simul. 76 (2007) 271-282
-
(2007)
Math. Comput. Simul.
, vol.76
, pp. 271-282
-
-
Bratsos, A.G.1
-
12
-
-
33847407493
-
A modified predictor-corrector scheme for the two-dimensional sine-Gordon equation
-
Bratsos A.G. A modified predictor-corrector scheme for the two-dimensional sine-Gordon equation. Numer. Algor. 43 (2006) 295-308
-
(2006)
Numer. Algor.
, vol.43
, pp. 295-308
-
-
Bratsos, A.G.1
-
13
-
-
34249277434
-
The solution of the two-dimensional sine-Gordon equation using the method of lines
-
Bratsos A.G. The solution of the two-dimensional sine-Gordon equation using the method of lines. J. Comput. Appl. Math. 206 (2007) 251-277
-
(2007)
J. Comput. Appl. Math.
, vol.206
, pp. 251-277
-
-
Bratsos, A.G.1
-
14
-
-
0001329612
-
Numerical solution of 2 + 1 dimensional sine-Gordon solitons
-
Christiansen P.L., and Lomdahl P.S. Numerical solution of 2 + 1 dimensional sine-Gordon solitons. Physica D 2 (1981) 482-494
-
(1981)
Physica D
, vol.2
, pp. 482-494
-
-
Christiansen, P.L.1
Lomdahl, P.S.2
-
15
-
-
0032436773
-
Modeling conned multi-material heat and mass flows using SPH
-
Clear P.W. Modeling conned multi-material heat and mass flows using SPH. Appl. Math. Model. 22 (1998) 981-993
-
(1998)
Appl. Math. Model.
, vol.22
, pp. 981-993
-
-
Clear, P.W.1
-
17
-
-
36048991845
-
The dual reciprocity boundary element method (DRBEM) for two-dimensional sine-Gordon equation
-
Dehghan M., and Mirzaei D. The dual reciprocity boundary element method (DRBEM) for two-dimensional sine-Gordon equation. Comput. Meth. Appl. Mech. Eng. 197 (2008) 476-486
-
(2008)
Comput. Meth. Appl. Mech. Eng.
, vol.197
, pp. 476-486
-
-
Dehghan, M.1
Mirzaei, D.2
-
18
-
-
56149124076
-
A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
-
Dehghan M., and Shokri A. A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions. Math. Comput. Simul. 79 (2008) 700-715
-
(2008)
Math. Comput. Simul.
, vol.79
, pp. 700-715
-
-
Dehghan, M.1
Shokri, A.2
-
19
-
-
47049117992
-
The meshless local Petrov-Galerkin (MLPG) method for the generalized two-dimensional non-linear Schrödinger equation
-
Dehghan M., and Mirzaei D. The meshless local Petrov-Galerkin (MLPG) method for the generalized two-dimensional non-linear Schrödinger equation. Eng. Anal. Bound. Elem. 32 (2008) 747-756
-
(2008)
Eng. Anal. Bound. Elem.
, vol.32
, pp. 747-756
-
-
Dehghan, M.1
Mirzaei, D.2
-
20
-
-
61549088742
-
Meshless local Petrov-Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity
-
Dehghan M., and Mirzaei D. Meshless local Petrov-Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity. Appl. Numer. Math. 59 (2009) 1043-1058
-
(2009)
Appl. Numer. Math.
, vol.59
, pp. 1043-1058
-
-
Dehghan, M.1
Mirzaei, D.2
-
21
-
-
32644435892
-
Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
-
Dehghan M. Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices. Math. Comput. Simul. 71 (2006) 16-30
-
(2006)
Math. Comput. Simul.
, vol.71
, pp. 16-30
-
-
Dehghan, M.1
-
22
-
-
0000882148
-
The method of finite spheres
-
De S., and Bathe K.J. The method of finite spheres. Comput. Mech. 25 (2000) 329-345
-
(2000)
Comput. Mech.
, vol.25
, pp. 329-345
-
-
De, S.1
Bathe, K.J.2
-
23
-
-
0029332275
-
Numerical solutions of a damped sine-Gordon equation in two space variables
-
Djidjeli K., Price W.G., and Twizell E.H. Numerical solutions of a damped sine-Gordon equation in two space variables. J. Eng. Math. 29 (1995) 347-369
-
(1995)
J. Eng. Math.
, vol.29
, pp. 347-369
-
-
Djidjeli, K.1
Price, W.G.2
Twizell, E.H.3
-
24
-
-
0002245065
-
Solving partial differential equations by collocation using radial basis functions
-
Franke C., and Schaback R. Solving partial differential equations by collocation using radial basis functions. Appl. Math. Comput. 93 (1997) 73-82
-
(1997)
Appl. Math. Comput.
, vol.93
, pp. 73-82
-
-
Franke, C.1
Schaback, R.2
-
25
-
-
0035271335
-
A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids
-
Gu Y.T., and Liu G.R. A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids. Comput. Mech. 27 (2001) 188-198
-
(2001)
Comput. Mech.
, vol.27
, pp. 188-198
-
-
Gu, Y.T.1
Liu, G.R.2
-
26
-
-
0035261976
-
A boundary point interpolation method for stress analysis of solids
-
Gu Y.T., and Liu G.R. A boundary point interpolation method for stress analysis of solids. Comput. Mech. 28 (2002) 47-54
-
(2002)
Comput. Mech.
, vol.28
, pp. 47-54
-
-
Gu, Y.T.1
Liu, G.R.2
-
27
-
-
0037407334
-
A boundary radial point interpolation method (BRPIM) for 2-D structural analyses
-
Gu Y.T., and Liu G.R. A boundary radial point interpolation method (BRPIM) for 2-D structural analyses. Struct. Eng. Mech. 15 (2003) 535-550
-
(2003)
Struct. Eng. Mech.
, vol.15
, pp. 535-550
-
-
Gu, Y.T.1
Liu, G.R.2
-
28
-
-
0035800453
-
A local point interpolation method for static and dynamic analysis of thin beams
-
Gu Y.T., and Liu G.R. A local point interpolation method for static and dynamic analysis of thin beams. Comput. Meth. Appl. Mech. Eng. 190 (2001) 5515-5528
-
(2001)
Comput. Meth. Appl. Mech. Eng.
, vol.190
, pp. 5515-5528
-
-
Gu, Y.T.1
Liu, G.R.2
-
30
-
-
0036643088
-
Soliton solution of some nonlinear partial differential equations and its application in fluid mechanics
-
Helal M.A. Soliton solution of some nonlinear partial differential equations and its application in fluid mechanics. Chaos Solitons Fractals 13 (2002) 1917-1929
-
(2002)
Chaos Solitons Fractals
, vol.13
, pp. 1917-1929
-
-
Helal, M.A.1
-
31
-
-
33646136226
-
A modified meshless local Petrov-Galerkin method to elasticity problems in computer modeling and simulation
-
Hu D.A., Long S.Y., Liu K.Y., and Li G.Y. A modified meshless local Petrov-Galerkin method to elasticity problems in computer modeling and simulation. Eng. Anal. Bound. Elem. 30 (2006) 399-404
-
(2006)
Eng. Anal. Bound. Elem.
, vol.30
, pp. 399-404
-
-
Hu, D.A.1
Long, S.Y.2
Liu, K.Y.3
Li, G.Y.4
-
32
-
-
0025229330
-
Multiquadrics-a scattered data approximation scheme with applications to computational fluid dynamics
-
Kansa E.J. Multiquadrics-a scattered data approximation scheme with applications to computational fluid dynamics. Comput. Math. Appl. 19 8/9 (1990) 127-145
-
(1990)
Comput. Math. Appl.
, vol.19
, Issue.8-9
, pp. 127-145
-
-
Kansa, E.J.1
-
35
-
-
0036915246
-
Point interpolation method based on local residual formulation using radial basis functions
-
Liu G.R., Yan L., Wang J.G., and Gu Y.T. Point interpolation method based on local residual formulation using radial basis functions. Struct. Eng. Mech. 14 (2002) 713-732
-
(2002)
Struct. Eng. Mech.
, vol.14
, pp. 713-732
-
-
Liu, G.R.1
Yan, L.2
Wang, J.G.3
Gu, Y.T.4
-
36
-
-
0035817769
-
A local radial point interpolation method (LR-PIM) for free vibration analyses of 2-D solids
-
Liu G.R., and Gu Y.T. A local radial point interpolation method (LR-PIM) for free vibration analyses of 2-D solids. J. Sound Vib. 246 1 (2001) 29-46
-
(2001)
J. Sound Vib.
, vol.246
, Issue.1
, pp. 29-46
-
-
Liu, G.R.1
Gu, Y.T.2
-
37
-
-
29144534039
-
A simple and less-costly meshless local Petrov-Galerkin (MLPG) method for the dynamic fracture problem
-
Liu K.Y., Long S.Y., and Li G.Y. A simple and less-costly meshless local Petrov-Galerkin (MLPG) method for the dynamic fracture problem. Eng. Anal. Bound. Elem. 30 (2006) 72-76
-
(2006)
Eng. Anal. Bound. Elem.
, vol.30
, pp. 72-76
-
-
Liu, K.Y.1
Long, S.Y.2
Li, G.Y.3
-
38
-
-
0035112642
-
A point interpolation method for two-dimensional solids
-
Liu G.R., and Gu Y.T. A point interpolation method for two-dimensional solids. Int. J. Numer. Meth. Eng. 50 (2001) 937-951
-
(2001)
Int. J. Numer. Meth. Eng.
, vol.50
, pp. 937-951
-
-
Liu, G.R.1
Gu, Y.T.2
-
40
-
-
0037981463
-
A matrix triangularization algorithm for the polynomial point interpolation method
-
Liu G.R., and Gu Y.T. A matrix triangularization algorithm for the polynomial point interpolation method. Comput. Meth. Appl. Mech. Eng. 192 (2003) 2269-2295
-
(2003)
Comput. Meth. Appl. Mech. Eng.
, vol.192
, pp. 2269-2295
-
-
Liu, G.R.1
Gu, Y.T.2
-
41
-
-
0030380578
-
The partition of unity finite element method: Basic theory and applications
-
Melenk J.M., and Babuska I. The partition of unity finite element method: Basic theory and applications. Comput. Meth. Appl. Mech. Eng. 139 (1996) 289-314
-
(1996)
Comput. Meth. Appl. Mech. Eng.
, vol.139
, pp. 289-314
-
-
Melenk, J.M.1
Babuska, I.2
-
42
-
-
56249085908
-
Boundary element solution of the two-dimensional sine-Gordon equation using continuous linear
-
Mirzaei D., and Dehghan D. Boundary element solution of the two-dimensional sine-Gordon equation using continuous linear. Eng. Anal. Bound. Elem. 33 (2009) 12-24
-
(2009)
Eng. Anal. Bound. Elem.
, vol.33
, pp. 12-24
-
-
Mirzaei, D.1
Dehghan, D.2
-
43
-
-
74149087057
-
-
A. Mohebbi, M. Dehghan, High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods, Math. Comput. Modelling (2009), 10.1016/j.mcm.2009.11.015, in press
-
A. Mohebbi, M. Dehghan, High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods, Math. Comput. Modelling (2009), 10.1016/j.mcm.2009.11.015, in press
-
-
-
-
45
-
-
0016101698
-
Numerical analysis of vortex motion on Josephson structures
-
Nakajima K., Onodera Y., Nakamura T., and Sato R. Numerical analysis of vortex motion on Josephson structures. J. Appl. Phys. 45 (1974) 4095-4099
-
(1974)
J. Appl. Phys.
, vol.45
, pp. 4095-4099
-
-
Nakajima, K.1
Onodera, Y.2
Nakamura, T.3
Sato, R.4
-
46
-
-
0027035536
-
Generalizing the finite element method: diffuse approximation and diffuse elements
-
Nayroles B., Touzot G., and Villon P. Generalizing the finite element method: diffuse approximation and diffuse elements. Comput. Mech. 10 (1992) 307-318
-
(1992)
Comput. Mech.
, vol.10
, pp. 307-318
-
-
Nayroles, B.1
Touzot, G.2
Villon, P.3
-
47
-
-
0001739142
-
Theory of radial basis function approximation in 1990
-
Light F.W. (Ed)
-
Powell M.J.D. Theory of radial basis function approximation in 1990. In: Light F.W. (Ed). Adv. Numer. Anal. (1992) 303-322
-
(1992)
Adv. Numer. Anal.
, pp. 303-322
-
-
Powell, M.J.D.1
-
48
-
-
55549139519
-
The binary F-expansion method and its application for solving the (n + 1)-dimensional sine-Gordon equation
-
Rui W., He B., and Long Y. The binary F-expansion method and its application for solving the (n + 1)-dimensional sine-Gordon equation. Commun. Nonlin. Sci. Numer. Simul. 14 (2009) 1245-1258
-
(2009)
Commun. Nonlin. Sci. Numer. Simul.
, vol.14
, pp. 1245-1258
-
-
Rui, W.1
He, B.2
Long, Y.3
-
49
-
-
0000246322
-
Application of the multiquadric method for numerical solution of elliptic partial differential equations
-
Sharan M., Kansa E.J., and Gupta S. Application of the multiquadric method for numerical solution of elliptic partial differential equations. Appl. Math. Comput. 84 (1997) 275-302
-
(1997)
Appl. Math. Comput.
, vol.84
, pp. 275-302
-
-
Sharan, M.1
Kansa, E.J.2
Gupta, S.3
-
50
-
-
18144406135
-
Numerical simulation of two-dimensional sine-Gordon solitons via a split cosine scheme
-
Sheng Q., Khaliq A.Q.M., and Voss D.A. Numerical simulation of two-dimensional sine-Gordon solitons via a split cosine scheme. Math. Comput. Simul. 68 (2005) 355-373
-
(2005)
Math. Comput. Simul.
, vol.68
, pp. 355-373
-
-
Sheng, Q.1
Khaliq, A.Q.M.2
Voss, D.A.3
-
51
-
-
0037451839
-
An analytic study of compactons structures in a class of nonlinear dispersive equations
-
Wazwaz A.M. An analytic study of compactons structures in a class of nonlinear dispersive equations. Math. Comput. Simul. 63 (2003) 35-44
-
(2003)
Math. Comput. Simul.
, vol.63
, pp. 35-44
-
-
Wazwaz, A.M.1
-
52
-
-
0037143775
-
A point interpolation meshless method based on radial basis functions
-
Wang J.G., and Liu G.R. A point interpolation meshless method based on radial basis functions. Int. J. Numer. Meth. Eng. 54 (2002) 1623-1648
-
(2002)
Int. J. Numer. Meth. Eng.
, vol.54
, pp. 1623-1648
-
-
Wang, J.G.1
Liu, G.R.2
-
53
-
-
0037192730
-
On the optimal shape parameters of radial basis functions used for 2-D meshless methods
-
Wang J.G., and Liu G.R. On the optimal shape parameters of radial basis functions used for 2-D meshless methods. Comput. Meth. Appl. Math. 191 (2002) 2611-2630
-
(2002)
Comput. Meth. Appl. Math.
, vol.191
, pp. 2611-2630
-
-
Wang, J.G.1
Liu, G.R.2
-
54
-
-
0000764217
-
Error estimates for interpolation by compactly supported radial basis functions of minimal degree
-
Wendland H. Error estimates for interpolation by compactly supported radial basis functions of minimal degree. J. Approx. Theory 93 (1998) 258-396
-
(1998)
J. Approx. Theory
, vol.93
, pp. 258-396
-
-
Wendland, H.1
-
55
-
-
51649133223
-
Hermite-Birkhoff interpolation of scattered data by radial basis functions
-
Wu Z. Hermite-Birkhoff interpolation of scattered data by radial basis functions. Approx. Theory Appl. 8 (1992) 1-10
-
(1992)
Approx. Theory Appl.
, vol.8
, pp. 1-10
-
-
Wu, Z.1
-
56
-
-
0346688073
-
Modeling light bullets with the two-dimensional sine-Gordon equation
-
Xin J.X. Modeling light bullets with the two-dimensional sine-Gordon equation. Physica D 135 (2000) 345-368
-
(2000)
Physica D
, vol.135
, pp. 345-368
-
-
Xin, J.X.1
-
57
-
-
19744375661
-
Parameter determination in a partial differential equation from the overspecified data
-
Dehghan M. Parameter determination in a partial differential equation from the overspecified data. Math. Comput. Modelling 41 (2005) 196-213
-
(2005)
Math. Comput. Modelling
, vol.41
, pp. 196-213
-
-
Dehghan, M.1
-
58
-
-
9544239366
-
Efficient techniques for the second-order parabolic equation subject to nonlocal specifications
-
Dehghan M. Efficient techniques for the second-order parabolic equation subject to nonlocal specifications. Appl. Numer. Math. 52 (2005) 39-62
-
(2005)
Appl. Numer. Math.
, vol.52
, pp. 39-62
-
-
Dehghan, M.1
-
59
-
-
33645276878
-
A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications
-
Dehghan M. A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications. Numer. Methods Partial Differential Equations 22 (2006) 220-257
-
(2006)
Numer. Methods Partial Differential Equations
, vol.22
, pp. 220-257
-
-
Dehghan, M.1
-
60
-
-
33749559910
-
The one-dimensional heat equation subject to a boundary integral specification
-
Dehghan M. The one-dimensional heat equation subject to a boundary integral specification. Chaos Solitons Fractals 32 (2007) 661-675
-
(2007)
Chaos Solitons Fractals
, vol.32
, pp. 661-675
-
-
Dehghan, M.1
-
61
-
-
11144275388
-
On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation
-
Dehghan M. On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation. Numer. Methods Partial Differential Equations 21 (2005) 24-040
-
(2005)
Numer. Methods Partial Differential Equations
, vol.21
, pp. 24-040
-
-
Dehghan, M.1
-
62
-
-
70249128335
-
-
D. Mirzaei, M. Dehghan, Implementation of meshless LBIE method to the 2D non-linear SG problem, Int. J. Numer. Meth. Eng. (2009), doi:10.1002/nme.2635, in press
-
D. Mirzaei, M. Dehghan, Implementation of meshless LBIE method to the 2D non-linear SG problem, Int. J. Numer. Meth. Eng. (2009), doi:10.1002/nme.2635, in press
-
-
-
-
63
-
-
73449115631
-
-
D. Mirzaei, M. Dehghan, Meshless local Petrov-Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation, J. Comput. Appl. Math. (2009), doi:10.1016/j.cam.2009.11.022, in press
-
D. Mirzaei, M. Dehghan, Meshless local Petrov-Galerkin (MLPG) approximation to the two dimensional sine-Gordon equation, J. Comput. Appl. Math. (2009), doi:10.1016/j.cam.2009.11.022, in press
-
-
-
|