-
1
-
-
33749004551
-
On a new non-local formulation of water waves
-
MR2263547 (2007k:76013)
-
M. J. Ablowitz, A. S. Fokas, and Z. H. Musslimani, On a new non-local formulation of water waves, J. Fluid Mech. 562 (2006), 313-343, DOI 10.1017/S0022112006001091. MR2263547 (2007k:76013)
-
(2006)
J. Fluid Mech
, vol.562
, pp. 313-343
-
-
Ablowitz, M.J.1
Fokas, A.S.2
Musslimani, Z.H.3
-
2
-
-
70450190915
-
Spectral formulation of the two fluid Eider equations with a free interface and long wave reductions
-
MR2459114 (2010a:76016)
-
M. J. Ablowitz and T. S. Haut, Spectral formulation of the two fluid Eider equations with a free interface and long wave reductions, Anal. Appl. (Singap.) 6 (2008), no. 4, 323-348, DOI 10.1142/S0219530508001213. MR2459114 (2010a:76016)
-
(2008)
Anal. Appl. (Singap.)
, vol.6
, Issue.4
, pp. 323-348
-
-
Ablowitz, M.J.1
Haut, T.S.2
-
3
-
-
84877834220
-
Ambrose, Michael Siegel, and Svetlana Tlupova, A small-scale decomposition for 3D boundary integral computations with surface tension
-
MR3066169
-
David M. Ambrose, Michael Siegel, and Svetlana Tlupova, A small-scale decomposition for 3D boundary integral computations with surface tension, J. Comput. Phys. 247 (2013), 168-191, DOI 10.1016/j.jcp.2013.03.045. MR3066169
-
(2013)
J. Comput. Phys
, vol.247
, pp. 168-191
-
-
David, M.1
-
4
-
-
0344453092
-
Stable methods for vortex sheet motion in the presence of surface tension
-
electronic, MR1617821 (99c:76073)
-
Gregory Baker and André Nachbin, Stable methods for vortex sheet motion in the presence of surface tension, SIAM J. Sci. Comput. 19 (1998), no. 5, 1737-1766 (electronic), DOI 10.1137/S1064827595296562. MR1617821 (99c:76073)
-
(1998)
SIAM J. Sci. Comput
, vol.19
, Issue.5
, pp. 1737-1766
-
-
Baker, G.1
Nachbin, A.2
-
5
-
-
0020191249
-
Generalized vortex methods for free-surface flow problems
-
MR687014 (84a:76002)
-
Gregory R. Baker, Daniel I. Meiron, and Steven A. Orszag, Generalized vortex methods for free-surface flow problems, J. Fluid Mech. 123 (1982), 477-501, DOI 10.1017/S0022112082003164. MR687014 (84a:76002)
-
(1982)
J. Fluid Mech
, vol.123
, pp. 477-501
-
-
Baker, G.R.1
Meiron, D.I.2
Orszag, S.A.3
-
6
-
-
80053982561
-
Singularities in the complex physical plane for deep water waves
-
MR2844303
-
Gregory R. Baker and Chao Xie, Singularities in the complex physical plane for deep water waves, J. Fluid Mech. 685 (2011), 83-116, DOI 10.1017/jfm.2011.283. MR2844303
-
(2011)
J. Fluid Mech
, vol.685
, pp. 83-116
-
-
Baker, G.R.1
Xie, C.2
-
7
-
-
84971145280
-
Solution of a boundary value problem for the Helmholtz equation via variation of the boundary into the complex domain
-
MR1200203 (94e:35131)
-
Oscar P. Bruno and Fernando Reitich, Solution of a boundary value problem for the Helmholtz equation via variation of the boundary into the complex domain, Proc. Roy. Soc. Edinburgh Sect. A 122 (1992), no. 3-4, 317-340, DOI 10.1017/S0308210500021132. MR1200203 (94e:35131)
-
(1992)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.122
, Issue.3-4
, pp. 317-340
-
-
Bruno, O.P.1
Reitich, F.2
-
8
-
-
0003766476
-
Spectral methods in fluid dynamics
-
Springer-Verlag, New York, MR917480 (89m:76004)
-
Claudio Canuto, M. Yousuff Hussaini, Alfio Quarteroni, and Thomas A. Zang, Spectral methods in fluid dynamics, Springer Series in Computational Physics, Springer-Verlag, New York, 1988. MR917480 (89m:76004)
-
(1988)
Springer Series in Computational Physics
-
-
Canuto, C.1
Yousuff Hussaini, M.2
Quarteroni, A.3
Zang, T.A.4
-
10
-
-
17144396016
-
Hamiltonian longwave expansions for water waves over a rough bottom
-
MR2121939 (2006e:76019)
-
Walter Craig, Philippe Guyenne, David P. Nicholls, and Catherine Sulem, Hamiltonian longwave expansions for water waves over a rough bottom, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 461 (2005), no. 2055, 839-873, DOI 10.1098/rspa.2004.1367. MR2121939 (2006e:76019)
-
(2005)
Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci
, vol.461
, Issue.2055
, pp. 839-873
-
-
Craig, W.1
Guyenne, P.2
Nicholls, D.P.3
Sulem, C.4
-
11
-
-
0002686768
-
Numerical simulation of gravity waves
-
MR1239970 (94h:76064)
-
W. Craig and C. Sulem, Numerical simulation of gravity waves, J. Comput. Phys. 108 (1993), no. 1,73-83, DOI 10.1006/jcph.1993.1164. MR1239970 (94h:76064)
-
(1993)
J. Comput. Phys
, vol.108
, Issue.1
, pp. 73-83
-
-
Craig, W.1
Sulem, C.2
-
12
-
-
79959269611
-
The instability of periodic surface gravity waves
-
MR2801039 (2012j:76057)
-
Bernard Deconinck and Katie Oliveras, The instability of periodic surface gravity waves, J. Fluid Mech. 675 (2011), 141-167, DOI 10.1017/S0022112011000073. MR2801039 (2012j:76057)
-
(2011)
J. Fluid Mech
, vol.675
, pp. 141-167
-
-
Deconinck, B.1
Oliveras, K.2
-
13
-
-
0034270925
-
An Ewald summation based multipole method
-
Z.-H. Duan and R. Krasny, An Ewald summation based multipole method, J. Chem. Phys. 113 (2000), no. 9, 3492-3495.
-
(2000)
J. Chem. Phys
, vol.113
, Issue.9
, pp. 3492-3495
-
-
Duan, Z.-H.1
Krasny, R.2
-
14
-
-
0042014763
-
Analytical description of the free surface dynamics of an ideal fluid (Canonical formalism and conformal mapping)
-
A.I. Dyachenko, E.A. Kuznetsov, M.D. Spector, and V.E. Zakharov, Analytical description of the free surface dynamics of an ideal fluid (canonical formalism and conformal mapping), Phys. Letters A 221 (1996), 73-79.
-
(1996)
Phys. Letters A
, vol.221
, pp. 73-79
-
-
Dyachenko, A.I.1
Kuznetsov, E.A.2
Spector, M.D.3
Zakharov, V.E.4
-
15
-
-
34547422405
-
MPFR: A multiple-precision binary floating-point library with correct rounding
-
13, 15, MR2326955 (2008e:65157)
-
Laurent Fousse, Guillaume Hanrot, Vincent Lefevre, Patrick Pélissier, and Paul Zimmermann, MPFR: a multiple-precision binary floating-point library with correct rounding, ACM TYans. Math. Software 33 (2007), no. 2, Art. 13, 15, DOI 10.1145/1236463.1236468. MR2326955 (2008e:65157)
-
(2007)
ACM Tyans. Math. Software
, vol.33
, Issue.2
-
-
Fousse, L.1
Hanrot, G.2
Lefevre, V.3
Pélissier, P.4
Zimmermann, P.5
-
16
-
-
0022735928
-
A study of singularity formation in a vortex sheet by the point-vortex approximation
-
MR851670 (87g:76028)
-
Robert Krasny, A study of singularity formation in a vortex sheet by the point-vortex approximation, J. Fluid Mech. 167 (1986), 65-93, DOI 10.1017/S0022112086002732. MR851670 (87g:76028)
-
(1986)
J. Fluid Mech
, vol.167
, pp. 65-93
-
-
Krasny, R.1
-
17
-
-
22544482964
-
Well-posedness of the water-waves equations
-
MR2138139 (2005m:76021)
-
David Lannes, Well-posedness of the water-waves equations, J. Amer. Math. Soc. 18 (2005), no. 3, 605-654 (electronic), DOI 10.1090/S0894-0347-05-00484-4. MR2138139 (2005m:76021)
-
(2005)
J. Amer. Math. Soc
, vol.18
, Issue.3
, pp. 605-654
-
-
Lannes, D.1
-
18
-
-
84860487992
-
Fast and spectrally accurate Ewald summation for 2-periodic electrostatic systems
-
D. Lindbo and A.-K. Tornberg, Fast and spectrally accurate Ewald summation for 2-periodic electrostatic systems, J. Chem. Phys. 136 (2012), 164111.
-
(2012)
J. Chem. Phys
, vol.136
-
-
Lindbo, D.1
Tornberg, A.-K.2
-
19
-
-
0002523682
-
The deformation of steep surface waves on water. I. A numerical method of computation
-
MR0411355 (53 #15091)
-
M. S. Longuet-Higgins and E. D. Cokelet, The deformation of steep surface waves on water. I. A numerical method of computation, Proc. Roy. Soc. London Ser. A 350 (1976), no. 1660, 1-26. MR0411355 (53 #15091)
-
(1976)
Proc. Roy. Soc. London Ser. A
, vol.350
, Issue.1660
, pp. 1-26
-
-
Longuet-Higgins, M.S.1
Cokelet, E.D.2
-
20
-
-
0026789059
-
Standing waves in deep water: Their stability and extreme form
-
MRl 146134 (92k:76014)
-
G. N. Mercer and A. J. Roberts, Standing waves in deep water: their stability and extreme form, Phys. Fluids A 4 (1992), no. 2, 259-269, DOI 10.1063/1.858354. MRl 146134 (92k:76014)
-
(1992)
Phys. Fluids A
, vol.4
, Issue.2
, pp. 259-269
-
-
Mercer, G.N.1
Roberts, A.J.2
-
21
-
-
0007523693
-
The form of standing waves on finite depth water
-
MR1276940
-
G. N. Mercer and A. J. Roberts, The form of standing waves on finite depth water, Wave Motion 19 (1991), no. 3, 233-244, DOI 10.1016/0165-2125(94)90056-6. MR1276940
-
(1991)
Wave Motion
, vol.19
, Issue.3
, pp. 233-244
-
-
Mercer, G.N.1
Roberts, A.J.2
-
22
-
-
0004026391
-
-
Dover Publications, Inc., New York, 1992. Boundary problems of function theory and their application to mathematical physics; Translated from the second (1946) Russian edition and with a preface by J. R. M. Radok; Corrected reprint of the, English translation, MR1215485 (94a:45001)
-
N. I. Muskhelishvili, Singular integral equations, Dover Publications, Inc., New York, 1992. Boundary problems of function theory and their application to mathematical physics; Translated from the second (1946) Russian edition and with a preface by J. R. M. Radok; Corrected reprint of the 1953 English translation. MR1215485 (94a:45001)
-
(1953)
Singular Integral Equations
-
-
Muskhelishvili, N.I.1
-
23
-
-
23044528812
-
A new approach to analyticiiy of Dirichlet-Neumann operators
-
MR1869643 (2003b:35216)
-
David P. Nicholls and Fernando Reitich, A new approach to analyticiiy of Dirichlet-Neumann operators, Proc. Roy. Soc. Edinburgh Sect. A 131 (2001), no. 6, 1411-1433, DOI 10.1017/S0308210500001463. MR1869643 (2003b:35216)
-
(2001)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.131
, Issue.6
, pp. 1411-1433
-
-
Nicholls, D.P.1
Reitich, F.2
-
24
-
-
33744940867
-
Stable, high-order computation of traveling water waves in three dimensions
-
MR2241379 (2007d:76026)
-
David P. Nicholls and Fernando Reitich, Stable, high-order computation of traveling water waves in three dimensions, Eur. J. Mech. B Fluids 25 (2006), no. 4 , 406-424, DOI 10.1016/j.euromechflu.2005.11.003. MR2241379 (2007d:76026)
-
(2006)
Eur. J. Mech. B Fluids
, vol.25
, Issue.4
, pp. 406-424
-
-
Nicholls, D.P.1
Reitich, F.2
-
25
-
-
84865700104
-
Recovering the water-wave profile from pressure measurements
-
MR2968755
-
K. L. Oliveras, V. Vasan, B. Deconinck, and D. Henderson, Recovering the water-wave profile from pressure measurements, SIAM J. Appl. Math. 72 (2012), no. 3, 897-918, DOI 10.1137/110853285. MR2968755
-
(2012)
SIAM J. Appl. Math
, vol.72
, Issue.3
, pp. 897-918
-
-
Oliveras, K.L.1
Vasan, V.2
Deconinck, B.3
Henderson, D.4
-
26
-
-
84884271889
-
Computation of three-dimensional standing water waves
-
MR3109807
-
Chris H. Rycroft and Jon W’ilkening, Computation of three-dimensional standing water waves, J. Comput. Phys. 255 (2013), 612-638, DOI 10.1016/j.jcp.2013.08.026. MR3109807
-
(2013)
J. Comput. Phys
, vol.255
, pp. 612-638
-
-
Rycroft, C.H.1
W’Ilkening, J.2
-
27
-
-
0039107801
-
Branching behavior of standing waves—the signatures of resonance
-
MR1683714 (99m:76024)
-
D. H. Smith and A. J. Roberts, Branching behavior of standing waves—the signatures of resonance, Phys. Fluids 11 (1999), no. 5, 1051-1064, DOI 10.1063/1.869976. MR1683714 (99m:76024)
-
(1999)
Phys. Fluids
, vol.11
, Issue.5
, pp. 1051-1064
-
-
Smith, D.H.1
Roberts, A.J.2
-
28
-
-
84871876510
-
The inverse water wave problem of bathymetry detection
-
MR3008073
-
Vishal Vasan and Bernard Deconinck, The inverse water wave problem of bathymetry detection, J. Fluid Mech. 714 (2013), 562-590, DOI 10.1017/jfm.2012.497. MR3008073
-
(2013)
J. Fluid Mech
, vol.714
, pp. 562-590
-
-
Vasan, V.1
Deconinck, B.2
-
31
-
-
80054962162
-
Breakdown of self-similarity at the crests of large-amplitude standing water waves
-
Jon Wilkening, Breakdown of self-similarity at the crests of large-amplitude standing water waves, Phys. Rev. Lett. 107 (2011), 184501.
-
(2011)
Phys. Rev. Lett
, vol.107
-
-
Wilkening, J.1
-
32
-
-
84875353375
-
Overdetermined shooting methods for computing standing water waves with spectral accuracy
-
Jon Wilkening and Jia Yu, Overdetermined shooting methods for computing standing water waves with spectral accuracy, Comput. Sci. Disc. 5 (2012), no. 1, 14017.
-
(2012)
Comput. Sci. Disc
, vol.5
, Issue.1
-
-
Wilkening, J.1
Jia, Y.2
-
33
-
-
0001834355
-
Stability of periodic waves of finite amplitude on the surface of a deep fluid
-
V. E. Zakharov, Stability of periodic waves of finite amplitude on the surface of a deep fluid, Zhumal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki 8 (1968), 86-94.
-
(1968)
Zhumal Prikladnoi Mekhaniki I Tekhnicheskoi Fiziki
, vol.8
, pp. 86-94
-
-
Zakharov, V.E.1
|