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Author ID: carter.john-d Recent zbMATH articles by "Carter, John D."
Published as: Carter, John D.; Carter, J. D.; Carter, John

Publications by Year

Citations contained in zbMATH Open

24 Publications have been cited 188 times in 155 Documents Cited by Year
Stabilizing the Benjamin-Feir instability. Zbl 1120.76022
Segur, Harvey; Henderson, Diane; Carter, John; Hammack, Joe; Li, Congming; Pheiff, Dana; Socha, Katherine
51
2005
Stability of traveling wave solutions to the Whitham equation. Zbl 1331.35310
Sanford, Nathan; Kodama, Keri; Carter, John D.; Kalisch, Henrik
29
2014
The kinematics and stability of solitary and cnoidal wave solutions of the Serre equations. Zbl 1258.76047
Carter, John D.; Cienfuegos, Rodrigo
23
2011
Bidirectional Whitham equations as models of waves on shallow water. Zbl 1524.35519
Carter, John D.
21
2018
SpectrUW: a laboratory for the numerical exploration of spectra of linear operators. Zbl 1113.65058
Deconinck, Bernard; Kiyak, Firat; Carter, John D.; Kutz, J. Nathan
15
2007
Transverse instabilities of deep-water solitary waves. Zbl 1149.76627
Deconinck, Bernard; Pelinovsky, Dmitry E.; Carter, John D.
12
2006
MHD turbulence studies using lattice Boltzmann algorithms. Zbl 1364.76190
Vahala, G.; Keating, B.; Soe, M.; Yepez, J.; Vahala, L.; Carter, J.; Ziegeler, S.
10
2008
Homology for quandles with partial group operations. Zbl 1373.57028
Carter, John; Ishii, Atsushi; Saito, Masahico; Tanaka, Kokoro
10
2017
The transition to turbulence in shock-driven mixing: effects of Mach number and initial conditions. Zbl 1419.76269
Mohaghar, Mohammad; Carter, John; Pathikonda, Gokul; Ranjan, Devesh
8
2019
Particle paths in nonlinear Schrödinger models in the presence of linear shear currents. Zbl 1415.76063
Curtis, C. W.; Carter, J. D.; Kalisch, H.
8
2018
Experimental evidence of stable wave patterns on deep water. Zbl 1205.76012
Henderson, Diane M.; Segur, Harvey; Carter, John D.
7
2010
On the nonlinear dynamics of the traveling-wave solutions of the Serre system. Zbl 1524.35472
Mitsotakis, Dimitrios; Dutykh, Denys; Carter, John
6
2017
Instabilities of one-dimensional trivial-phase solutions of the two-dimensional cubic nonlinear Schrödinger equation. Zbl 1091.35086
Carter, John D.; Deconinck, Bernard
4
2006
Stability of plane waves on deep water with dissipation. Zbl 1116.76035
Canney, Nathan E.; Carter, John D.
3
2007
Stability of plane-wave solutions of a dissipative generalization of the nonlinear Schrödinger equation. Zbl 1161.35497
Carter, John D.; Contreras, Cynthia C.
3
2008
Particle trajectories in nonlinear Schrödinger models. Zbl 1452.76033
Carter, John D.; Curtis, Christopher W.; Kalisch, Henrik
3
2020
Frequency downshift in a viscous fluid. Zbl 1408.76231
Carter, John D.; Govan, Alex
3
2016
Instabilities of one-dimensional stationary solutions of the cubic nonlinear Schrödinger equation. Zbl 1085.81041
Thelwell, Roger J.; Carter, John D.; Deconinck, Bernard
2
2006
Numerical analysis of a second order ensemble method for evolutionary magnetohydrodynamics equations at small magnetic Reynolds number. Zbl 07778302
Carter, John; Jiang, Nan
2
2022
Reduced order borehole induction modelling. Zbl 07512419
Ardjmandpour, N.; Pain, C. C.; Fang, F.; Buchan, A. G.; Singer, J.; Player, M. A.; Xu, Xu; Navon, I. M.; Carter, J.
2
2014
Second order, unconditionally stable, linear ensemble algorithms for the magnetohydrodynamics equations. Zbl 07682842
Carter, John; Han, Daozhi; Jiang, Nan
2
2023
The cubic vortical Whitham equation. Zbl 1524.76063
Carter, John D.; Kalisch, Henrik; Kharif, Christian; Abid, Malek
2
2022
Fully dispersive Boussinesq models with uneven bathymetry. Zbl 1497.35359
Carter, John D.; Dinvay, Evgueni; Kalisch, Henrik
1
2021
Stability of periodic progressive gravity wave solutions of the Whitham equation in the presence of vorticity. Zbl 1448.35072
Kharif, C.; Abid, M.; Carter, J. D.; Kalisch, H.
1
2020
Second order, unconditionally stable, linear ensemble algorithms for the magnetohydrodynamics equations. Zbl 07682842
Carter, John; Han, Daozhi; Jiang, Nan
2
2023
Numerical analysis of a second order ensemble method for evolutionary magnetohydrodynamics equations at small magnetic Reynolds number. Zbl 07778302
Carter, John; Jiang, Nan
2
2022
The cubic vortical Whitham equation. Zbl 1524.76063
Carter, John D.; Kalisch, Henrik; Kharif, Christian; Abid, Malek
2
2022
Fully dispersive Boussinesq models with uneven bathymetry. Zbl 1497.35359
Carter, John D.; Dinvay, Evgueni; Kalisch, Henrik
1
2021
Particle trajectories in nonlinear Schrödinger models. Zbl 1452.76033
Carter, John D.; Curtis, Christopher W.; Kalisch, Henrik
3
2020
Stability of periodic progressive gravity wave solutions of the Whitham equation in the presence of vorticity. Zbl 1448.35072
Kharif, C.; Abid, M.; Carter, J. D.; Kalisch, H.
1
2020
The transition to turbulence in shock-driven mixing: effects of Mach number and initial conditions. Zbl 1419.76269
Mohaghar, Mohammad; Carter, John; Pathikonda, Gokul; Ranjan, Devesh
8
2019
Bidirectional Whitham equations as models of waves on shallow water. Zbl 1524.35519
Carter, John D.
21
2018
Particle paths in nonlinear Schrödinger models in the presence of linear shear currents. Zbl 1415.76063
Curtis, C. W.; Carter, J. D.; Kalisch, H.
8
2018
Homology for quandles with partial group operations. Zbl 1373.57028
Carter, John; Ishii, Atsushi; Saito, Masahico; Tanaka, Kokoro
10
2017
On the nonlinear dynamics of the traveling-wave solutions of the Serre system. Zbl 1524.35472
Mitsotakis, Dimitrios; Dutykh, Denys; Carter, John
6
2017
Frequency downshift in a viscous fluid. Zbl 1408.76231
Carter, John D.; Govan, Alex
3
2016
Stability of traveling wave solutions to the Whitham equation. Zbl 1331.35310
Sanford, Nathan; Kodama, Keri; Carter, John D.; Kalisch, Henrik
29
2014
Reduced order borehole induction modelling. Zbl 07512419
Ardjmandpour, N.; Pain, C. C.; Fang, F.; Buchan, A. G.; Singer, J.; Player, M. A.; Xu, Xu; Navon, I. M.; Carter, J.
2
2014
The kinematics and stability of solitary and cnoidal wave solutions of the Serre equations. Zbl 1258.76047
Carter, John D.; Cienfuegos, Rodrigo
23
2011
Experimental evidence of stable wave patterns on deep water. Zbl 1205.76012
Henderson, Diane M.; Segur, Harvey; Carter, John D.
7
2010
MHD turbulence studies using lattice Boltzmann algorithms. Zbl 1364.76190
Vahala, G.; Keating, B.; Soe, M.; Yepez, J.; Vahala, L.; Carter, J.; Ziegeler, S.
10
2008
Stability of plane-wave solutions of a dissipative generalization of the nonlinear Schrödinger equation. Zbl 1161.35497
Carter, John D.; Contreras, Cynthia C.
3
2008
SpectrUW: a laboratory for the numerical exploration of spectra of linear operators. Zbl 1113.65058
Deconinck, Bernard; Kiyak, Firat; Carter, John D.; Kutz, J. Nathan
15
2007
Stability of plane waves on deep water with dissipation. Zbl 1116.76035
Canney, Nathan E.; Carter, John D.
3
2007
Transverse instabilities of deep-water solitary waves. Zbl 1149.76627
Deconinck, Bernard; Pelinovsky, Dmitry E.; Carter, John D.
12
2006
Instabilities of one-dimensional trivial-phase solutions of the two-dimensional cubic nonlinear Schrödinger equation. Zbl 1091.35086
Carter, John D.; Deconinck, Bernard
4
2006
Instabilities of one-dimensional stationary solutions of the cubic nonlinear Schrödinger equation. Zbl 1085.81041
Thelwell, Roger J.; Carter, John D.; Deconinck, Bernard
2
2006
Stabilizing the Benjamin-Feir instability. Zbl 1120.76022
Segur, Harvey; Henderson, Diane; Carter, John; Hammack, Joe; Li, Congming; Pheiff, Dana; Socha, Katherine
51
2005
all top 5

Cited by 231 Authors

15 Kalisch, Henrik
13 Carter, John D.
9 Dutykh, Denys
8 Deconinck, Bernard
8 Johnson, Mathew A.
6 Barker, Blake
6 Dinvay, Evgueni
6 Mitsotakis, Dimitrios E.
5 Henderson, Diane M.
5 Kharif, Christian
5 Zumbrun, Kevin R.
4 Abid, Malek
4 Flamarion, Marcelo V.
4 Pelinovsky, Dmitry Efimovich
4 Rodrigues, Luis Miguel
4 Segur, Harvey
3 Berti, Massimiliano
3 Ehrnström, Mats
3 Hur, Vera Mikyoung
3 Marche, Fabien
3 Maspero, Alberto
3 Noble, Pascal
3 Panayotaros, Panayotis
3 Rajan, Girish Kumar
3 Tesfahun, Achenef
3 Várgas Magaña, Rosa María
3 Ventura, Paolo
3 Wang, Yuexun
2 Brunetti, Maura
2 Chazel, Florent
2 Chen, Guanrong
2 Chiang, Wen-Son
2 Cole, Justin T.
2 Craig, Walter
2 Curtis, Christopher W.
2 Dias, Frédéric
2 Emerald, Louis
2 Gavrilyuk, Sergey L.
2 Geyer, Anna
2 Guyenne, Philippe
2 Haragus, Mariana
2 Hwung, Hwung-Hweng
2 Kapitula, Todd M.
2 Kasparian, Jérôme
2 Kevrekidis, Panayotis G.
2 Khorsand, Zahra
2 Lannes, David
2 Li, Jibin
2 Moldabayev, Daulet
2 Nilsson, Dag Viktor
2 Nivala, Michael
2 Paulsen, Martin Oen
2 Pei, Long
2 Pitt, Jordan P. A.
2 Roberts, Stephen Gwyn
2 Schober, Constance M.
2 Sherratt, Jonathan A.
2 Song, Jie
2 Stefanov, Atanas G.
2 Sulem, Catherine
2 Sweilam, Nasser Hassan
2 Van Den Bremer, Ton S.
2 Zoppou, Christopher
1 Abeya, Asela
1 Ablowitz, Mark Jay
1 Abrashkin, A. A.
1 Abrashkin, Anatoly
1 Achilleos, V. A.
1 Adcock, Thomas A. A.
1 Akers, Benjamin F.
1 Al-Bar, Rabab F.
1 Alexeeva, Nora V.
1 Álvarez, Azucena
1 Antonopoulos, Dimitrios C.
1 Arbi, Adnene
1 Armaroli, Andrea
1 Assaubay, Al-Tarazi
1 Bahri, Yakine
1 Barashenkov, Igor V.
1 Barratt, Dylan
1 Barthelemy, Eric
1 Bi, Qinsheng
1 Bingham, Harry B.
1 Biondini, Gino
1 Bodunova, Yu. P.
1 Bonneton, Philippe
1 Borluk, Handan
1 Borthwick, Alistair G. L.
1 Bridges, Thomas J.
1 Bronski, Jared C.
1 Bruell, Gabriele
1 Buldakov, Eugeny
1 Canney, Nathan E.
1 Carretero-González, Ricardo
1 Castro, Alejandro J.
1 Charalampidis, Efstathios G.
1 Chen, Yang-Yih
1 Chiang, Yik-Man
1 Christodoulides, Demetrios N.
1 Cienfuegos, Rodrigo
...and 131 more Authors
all top 5

Cited in 59 Serials

18 Physica D
12 Journal of Fluid Mechanics
10 Wave Motion
7 European Journal of Mechanics. B. Fluids
7 Water Waves
6 Mathematics and Computers in Simulation
6 Studies in Applied Mathematics
5 Nonlinearity
4 Physics Letters. A
4 SIAM Journal on Mathematical Analysis
3 Archive for Rational Mechanics and Analysis
3 Journal of Computational and Applied Mathematics
3 SIAM Journal on Numerical Analysis
3 Journal of Dynamics and Differential Equations
3 Physics of Fluids
2 Journal of Computational Physics
2 Chaos, Solitons and Fractals
2 Applied Mathematics and Computation
2 Journal of Differential Equations
2 Proceedings of the American Mathematical Society
2 Applied Mathematics Letters
2 Journal of Scientific Computing
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Journal of Nonlinear Science
2 Advances in Computational Mathematics
2 Discrete and Continuous Dynamical Systems
2 Discrete and Continuous Dynamical Systems. Series B
2 SIAM Journal on Applied Dynamical Systems
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 Fluid Dynamics
1 International Journal of Engineering Science
1 Journal of Engineering Mathematics
1 Theoretical and Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Inventiones Mathematicae
1 Journal für die Reine und Angewandte Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Numerical Mathematics
1 European Journal of Applied Mathematics
1 Applied Mathematical Modelling
1 SIAM Journal on Applied Mathematics
1 Computational and Applied Mathematics
1 Nonlinear Dynamics
1 New Journal of Physics
1 Communications in Contemporary Mathematics
1 Annales Henri Poincaré
1 The ANZIAM Journal
1 Nonlinear Analysis. Real World Applications
1 Journal of Applied Mathematics
1 Analysis and Applications (Singapore)
1 Journal of Physics A: Mathematical and Theoretical
1 Mathematical Modelling of Natural Phenomena
1 International Journal of Applied and Computational Mathematics
1 Trends in Computational and Applied Mathematics

Citations by Year