-
1
-
-
0023306712
-
An engineer's guide to soliton phenomena: Application of the finite element method
-
J. Argyris, and M. Haase An engineer's guide to soliton phenomena: application of the finite element method Comput. Meth. Appl. Mech. Eng. 61 1987 71 122
-
(1987)
Comput. Meth. Appl. Mech. Eng.
, vol.61
, pp. 71-122
-
-
Argyris, J.1
Haase, M.2
-
2
-
-
0001416032
-
A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
-
F. Bassi, and Rebay A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations J. Comput. Phys. 131 1997 267 279
-
(1997)
J. Comput. Phys.
, vol.131
, pp. 267-279
-
-
Bassi, F.1
Rebay, A.2
-
3
-
-
0001025210
-
A new class of time discretization schemes for the solution of nonlinear PDEs
-
G. Beylkin, J.M. Keiser, and L. Vozovoi A new class of time discretization schemes for the solution of nonlinear PDEs J. Comput. Phys. 147 1998 362 387
-
(1998)
J. Comput. Phys.
, vol.147
, pp. 362-387
-
-
Beylkin, G.1
Keiser, J.M.2
Vozovoi, L.3
-
4
-
-
0029104726
-
Conservative, high order numerical schemes for the generalized Korteweg de Vries equation
-
J.L. Bona, V.A. Dougalis, O.A. Karakashian, and W.R. Mckinney Conservative, high order numerical schemes for the generalized Korteweg de Vries equation Proc. R. Soc. Lond. A 351 1995 107 164
-
(1995)
Proc. R. Soc. Lond. A
, vol.351
, pp. 107-164
-
-
Bona, J.L.1
Dougalis, V.A.2
Karakashian, O.A.3
McKinney, W.R.4
-
5
-
-
0001285869
-
On the Cauchy problem for the Kadomtsev-Petviashvili equation
-
J. Bourgain On the Cauchy problem for the Kadomtsev-Petviashvili equation Geom. Funct. Anal. 3 1993 315 341
-
(1993)
Geom. Funct. Anal.
, vol.3
, pp. 315-341
-
-
Bourgain, J.1
-
6
-
-
0002718851
-
Discontinuous Galerkin methods for methods for convection-dominated problems
-
T.J. Barth, H. Deconinck (Eds.) High-Order Methods for Computational Physics Springer, Berlin
-
B. Cockburn, Discontinuous Galerkin methods for methods for convection-dominated problems, in: T.J. Barth, H. Deconinck (Eds.) High-Order Methods for Computational Physics, Lecture Notes in Computational Science and Engineering, vol. 9, Springer, Berlin, 1999, pp. 69-224.
-
(1999)
Lecture Notes in Computational Science and Engineering
, vol.9
, pp. 69-224
-
-
Cockburn, B.1
-
7
-
-
84966261380
-
The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: The multidimensional case
-
B. Cockburn, S. Hou, and C.-W. Shu The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: the multidimensional case Math. Comput. 54 1990 545 581
-
(1990)
Math. Comput.
, vol.54
, pp. 545-581
-
-
Cockburn, B.1
Hou, S.2
Shu, C.-W.3
-
8
-
-
0002084927
-
The development of discontinuous Galerkin methods
-
B. Cockburn, G. Karniadakis, C.-W. Shu (Eds.) Discontinuous Galerkin Methods: Theory, Computation and Applications Springer, Berlin
-
B. Cockburn, G. Karniadakis, C.-W. Shu, The development of discontinuous Galerkin methods, in: B. Cockburn, G. Karniadakis, C.-W. Shu (Eds.) Discontinuous Galerkin Methods: Theory, Computation and Applications, Lecture Notes in Computational Science and Engineering, Part I: Overview, vol. 11, Springer, Berlin, 2000, pp. 3-50.
-
(2000)
Lecture Notes in Computational Science and Engineering, Part I: Overview
, vol.11
, pp. 3-50
-
-
Cockburn, B.1
Karniadakis, G.2
Shu, C.-W.3
-
9
-
-
45249130080
-
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One dimensional systems
-
B. Cockburn, S.-Y. Lin, and C.-W. Shu TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one dimensional systems J. Comput. Phys. 84 1989 90 113
-
(1989)
J. Comput. Phys.
, vol.84
, pp. 90-113
-
-
Cockburn, B.1
Lin, S.-Y.2
Shu, C.-W.3
-
10
-
-
84966246413
-
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: General framework
-
B. Cockburn, and C.-W. Shu TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: general framework Math. Comput. 52 1989 411 435
-
(1989)
Math. Comput.
, vol.52
, pp. 411-435
-
-
Cockburn, B.1
Shu, C.-W.2
-
11
-
-
0001690553
-
The Runge-Kutta discontinuous Galerkin method for conservation laws V: Multidimensional systems
-
B. Cockburn, and C.-W. Shu The Runge-Kutta discontinuous Galerkin method for conservation laws V: multidimensional systems J. Comput. Phys. 141 1998 199 224
-
(1998)
J. Comput. Phys.
, vol.141
, pp. 199-224
-
-
Cockburn, B.1
Shu, C.-W.2
-
12
-
-
0344393366
-
The local discontinuous Galerkin method for time-dependent convection-diffusion systems
-
B. Cockburn, and C.-W. Shu The local discontinuous Galerkin method for time-dependent convection-diffusion systems SIAM J. Numer. Anal. 35 1998 2440 2463
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, pp. 2440-2463
-
-
Cockburn, B.1
Shu, C.-W.2
-
13
-
-
0000076512
-
Runge-Kutta Discontinuous Galerkin methods for convection-dominated problems
-
B. Cockburn, and C.-W. Shu Runge-Kutta Discontinuous Galerkin methods for convection-dominated problems J. Sci. Comput. 16 2001 173 261
-
(2001)
J. Sci. Comput.
, vol.16
, pp. 173-261
-
-
Cockburn, B.1
Shu, C.-W.2
-
14
-
-
0036501083
-
Exponential time differencing for stiff systems
-
S.M. Cox, and P.C. Matthews Exponential time differencing for stiff systems J. Comput. Phys. 176 2002 430 455
-
(2002)
J. Comput. Phys.
, vol.176
, pp. 430-455
-
-
Cox, S.M.1
Matthews, P.C.2
-
15
-
-
0009096689
-
The KP equation with quasiperiodic initial data
-
B. Deconinck, and H. Segur The KP equation with quasiperiodic initial data Physica D 123 1998 123 152
-
(1998)
Physica D
, vol.123
, pp. 123-152
-
-
Deconinck, B.1
Segur, H.2
-
16
-
-
84928007477
-
Theta-functions and nonlinear equations
-
B.A. Dubrovin Theta-functions and nonlinear equations Russ. Math. Surveys 36 1981 11 80
-
(1981)
Russ. Math. Surveys
, vol.36
, pp. 11-80
-
-
Dubrovin, B.A.1
-
17
-
-
0040691620
-
Three-phase solution of the Kadomtsev-Petviashvili equation
-
B.A. Dubrovin, R. Flickinger, and H. Segur Three-phase solution of the Kadomtsev-Petviashvili equation Stud. Appl. Math. 99 1997 137 203
-
(1997)
Stud. Appl. Math.
, vol.99
, pp. 137-203
-
-
Dubrovin, B.A.1
Flickinger, R.2
Segur, H.3
-
18
-
-
1942507896
-
A discontinuous spectral element model for Boussinesq-type equations
-
C. Eskilsson, and S.J. Sherwin A discontinuous spectral element model for Boussinesq-type equations J. Sci. Comput. 17 2002 143 152
-
(2002)
J. Sci. Comput.
, vol.17
, pp. 143-152
-
-
Eskilsson, C.1
Sherwin, S.J.2
-
19
-
-
0001676964
-
A conservative spectral method for several two-dimensional nonlinear wave equations
-
B.-F. Feng, T. Kawahara, and T. Mitsui A conservative spectral method for several two-dimensional nonlinear wave equations J. Comput. Phys. 153 1999 467 487
-
(1999)
J. Comput. Phys.
, vol.153
, pp. 467-487
-
-
Feng, B.-F.1
Kawahara, T.2
Mitsui, T.3
-
20
-
-
0032489749
-
A finite difference method for the Korteweg-de Vries and the Kadomtsev-Petviashvili equations
-
B.-F. Feng, and T. Mitsui A finite difference method for the Korteweg-de Vries and the Kadomtsev-Petviashvili equations J. Comput. Appl. Math. 90 1998 95 116
-
(1998)
J. Comput. Appl. Math.
, vol.90
, pp. 95-116
-
-
Feng, B.-F.1
Mitsui, T.2
-
21
-
-
0017901962
-
A numerical and theoretical study of certain nonlinear wave phenomena
-
B. Fornberg, and G.B. Whitham A numerical and theoretical study of certain nonlinear wave phenomena Proc. R. Soc. Lond. A 289 1978 373 404
-
(1978)
Proc. R. Soc. Lond. A
, vol.289
, pp. 373-404
-
-
Fornberg, B.1
Whitham, G.B.2
-
22
-
-
0028976320
-
Two-dimensional periodic waves in shallow water. II. Asymmetric waves
-
J. Hammack, D. McCallister, N. Scheffner, and H. Segur Two-dimensional periodic waves in shallow water. II. Asymmetric waves J. Fluid Mech. 285 1995 95 122
-
(1995)
J. Fluid Mech.
, vol.285
, pp. 95-122
-
-
Hammack, J.1
McCallister, D.2
Scheffner, N.3
Segur, H.4
-
23
-
-
0024877769
-
Two-dimensional periodic waves in shallow water
-
J. Hammack, N. Scheffner, and H. Segur Two-dimensional periodic waves in shallow water J. Fluid Mech. 209 1989 567 589
-
(1989)
J. Fluid Mech.
, vol.209
, pp. 567-589
-
-
Hammack, J.1
Scheffner, N.2
Segur, H.3
-
24
-
-
0001313410
-
Local solution for the Kadomtsev-Petviashvili equation in
-
P. Isaza, J. Mejia, and V. Strallbohm Local solution for the Kadomtsev-Petviashvili equation in R 2 J. Math. Anal. Appl. 196 1995 566 587
-
(1995)
J. Math. Anal. Appl.
, vol.196
, pp. 566-587
-
-
Isaza, P.1
Mejia, J.2
Strallbohm, V.3
-
25
-
-
0001137079
-
Cylindrical quasi-solutions of the Zakharov-Kuznetsov equation
-
H. Iwasaki, S. Toh, and T. Kawahara Cylindrical quasi-solutions of the Zakharov-Kuznetsov equation Physica D 43 1990 293 303
-
(1990)
Physica D
, vol.43
, pp. 293-303
-
-
Iwasaki, H.1
Toh, S.2
Kawahara, T.3
-
26
-
-
22544474620
-
Trefethen, Fourth-order time-stepping for stiff PDEs
-
A.K. Kassam Trefethen, Fourth-order time-stepping for stiff PDEs SIAM J. Sci. Comp. 26 2005 1214 1233
-
(2005)
SIAM J. Sci. Comp.
, vol.26
, pp. 1214-1233
-
-
Kassam, A.K.1
-
27
-
-
0023111813
-
Numerical waves in a rotating channel: A numerical study
-
C. Katsis, and T.R. Akylas Numerical waves in a rotating channel: a numerical study Phys. Fluid 30 1987 297 301
-
(1987)
Phys. Fluid
, vol.30
, pp. 297-301
-
-
Katsis, C.1
Akylas, T.R.2
-
28
-
-
0023147301
-
On the excitation of long nonlinear water waves by a moving pressure distribution. Part 2: Three-dimensional effects
-
C. Katsis, and T.R. Akylas On the excitation of long nonlinear water waves by a moving pressure distribution. Part 2: Three-dimensional effects J. Fluid. Mech. 177 1987 49 65
-
(1987)
J. Fluid. Mech.
, vol.177
, pp. 49-65
-
-
Katsis, C.1
Akylas, T.R.2
-
29
-
-
0000262859
-
The stability of solitary waves weakly dispersing media
-
B.B. Kadomtsev, and V.I. Petviashvili The stability of solitary waves weakly dispersing media Sov. Phys. Doklady 15 1970 539 541
-
(1970)
Sov. Phys. Doklady
, vol.15
, pp. 539-541
-
-
Kadomtsev, B.B.1
Petviashvili, V.I.2
-
30
-
-
2442475431
-
Local discontinuous Galerkin methods for nonlinear dispersive equations
-
D. Levy, C.-W. Shu, and J. Yan Local discontinuous Galerkin methods for nonlinear dispersive equations J. Comput. Phys. 196 2004 751 772
-
(2004)
J. Comput. Phys.
, vol.196
, pp. 751-772
-
-
Levy, D.1
Shu, C.-W.2
Yan, J.3
-
31
-
-
0036872348
-
Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation
-
L. Molinet, J.-C. Saut, and N. Tzvetkov Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation Duke Math. J. 115 2002 353 384
-
(2002)
Duke Math. J.
, vol.115
, pp. 353-384
-
-
Molinet, L.1
Saut, J.-C.2
Tzvetkov, N.3
-
32
-
-
4243718547
-
Vortex solitons of drift waves and anomalous diffusion
-
K. Nozaki Vortex solitons of drift waves and anomalous diffusion Phys. Rev. Lett. 46 1981 184 187
-
(1981)
Phys. Rev. Lett.
, vol.46
, pp. 184-187
-
-
Nozaki, K.1
-
33
-
-
0000522967
-
Red spot of Jupiter and the drift soliton in a plasma
-
V.I. Petviashvili Red spot of Jupiter and the drift soliton in a plasma JETP Lett. 32 1980 619 622
-
(1980)
JETP Lett.
, vol.32
, pp. 619-622
-
-
Petviashvili, V.I.1
-
34
-
-
0022199495
-
An analytical model of periodic waves in shallow water
-
H. Segur, and A. Finkel An analytical model of periodic waves in shallow water Stud. Appl. Math. 73 1985 183 220
-
(1985)
Stud. Appl. Math.
, vol.73
, pp. 183-220
-
-
Segur, H.1
Finkel, A.2
-
35
-
-
45449125925
-
Efficient implementation of essentially non-oscillatory shock-capturing schemes
-
C.-W. Shu, and S. Osher Efficient implementation of essentially non-oscillatory shock-capturing schemes J. Comput. Phys. 77 1988 439 471
-
(1988)
J. Comput. Phys.
, vol.77
, pp. 439-471
-
-
Shu, C.-W.1
Osher, S.2
-
36
-
-
0002346079
-
On the local regularity of Kadomtsev-Petviashvili-II equation
-
H. Takaoka, and N. Tzvetkov On the local regularity of Kadomtsev-Petviashvili-II equation Int. Math. Res. Notices 8 2001 77 114
-
(2001)
Int. Math. Res. Notices
, vol.8
, pp. 77-114
-
-
Takaoka, H.1
Tzvetkov, N.2
-
37
-
-
0001546980
-
Two-dimensional localized pulses of a nonlinear equation with dissipation and dispersion
-
S. Toh, H. Iwasaki, and T. Kawahara Two-dimensional localized pulses of a nonlinear equation with dissipation and dispersion Phys. Rev. A 40 1989 5472 5475
-
(1989)
Phys. Rev. A
, vol.40
, pp. 5472-5475
-
-
Toh, S.1
Iwasaki, H.2
Kawahara, T.3
-
38
-
-
0011706862
-
Some generalizations of the Kadomtsev-Petviashvili equations
-
M.M. Tom Some generalizations of the Kadomtsev-Petviashvili equations J. Math. Anal. Appl. 243 2000 64 84
-
(2000)
J. Math. Anal. Appl.
, vol.243
, pp. 64-84
-
-
Tom, M.M.1
-
39
-
-
0000988035
-
Wave Collapse and instability of solitary waves of a generalized Kadomtsev-Petviashvili equation
-
X.P. Wang, M.J. Ablowitz, and H. Segur Wave Collapse and instability of solitary waves of a generalized Kadomtsev-Petviashvili equation Physica D 78 1994 241 265
-
(1994)
Physica D
, vol.78
, pp. 241-265
-
-
Wang, X.P.1
Ablowitz, M.J.2
Segur, H.3
-
40
-
-
0001363641
-
Implicit spectral methods for wave propagation problem
-
S.B. Wineberg, J.F. Mcgrath, E.F. Gabl, L.R. Scott, and C.E. Southwell Implicit spectral methods for wave propagation problem J. Comput. Phys. 97 1991 311 336
-
(1991)
J. Comput. Phys.
, vol.97
, pp. 311-336
-
-
Wineberg, S.B.1
McGrath, J.F.2
Gabl, E.F.3
Scott, L.R.4
Southwell, C.E.5
-
41
-
-
3042791844
-
Local discontinuous Galerkin methods for three classes of nonlinear wave equations
-
Y. Xu, and C.-W. Shu Local discontinuous Galerkin methods for three classes of nonlinear wave equations J. Comput. Math. 22 2004 250 274
-
(2004)
J. Comput. Math.
, vol.22
, pp. 250-274
-
-
Xu, Y.1
Shu, C.-W.2
-
42
-
-
0038693389
-
A local discontinuous Galerkin method for KdV type equations
-
J. Yan, and C.-W. Shu A local discontinuous Galerkin method for KdV type equations SIAM J. Numer. Anal. 40 2002 769 791
-
(2002)
SIAM J. Numer. Anal.
, vol.40
, pp. 769-791
-
-
Yan, J.1
Shu, C.-W.2
-
43
-
-
1942475854
-
Local discontinuous Galerkin methods for partial differential equations with higher order derivatives
-
J. Yan, and C.-W. Shu Local discontinuous Galerkin methods for partial differential equations with higher order derivatives J. Sci. Comput. 17 2002 27 47
-
(2002)
J. Sci. Comput.
, vol.17
, pp. 27-47
-
-
Yan, J.1
Shu, C.-W.2
|