Edit Profile (opens in new tab) Carter, John D. Co-Author Distance Author ID: carter.john-d Published as: Carter, John D.; Carter, J. D.; Carter, John more...less Documents Indexed: 36 Publications since 1998, including 1 Book and 2 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 28 Co-Authors with 23 Joint Publications 578 Co-Co-Authors all top 5 Co-Authors 4 single-authored 8 Kalisch, Henrik 5 Deconinck, Bernard 5 Henderson, Diane M. 3 Segur, Harvey 2 Abid, Malek 2 Curtis, Christopher W. 2 Desai, Chandra S. 2 Kharif, Christian 2 Rowe, R. Kerry 1 Ardjmandpour, N. 1 Barros, Guilherme 1 Berntsen, Jarle 1 Bjørnestad, Maria 1 Buchan, Andrew G. 1 Canney, Nathan E. 1 Catalano, Megan E. 1 Cienfuegos, Rodrigo 1 Contreras, Cynthia C. 1 Dinvay, Evgueni 1 Dutykh, Denys 1 Dysthe, Kristian Barstad 1 Fang, Fangxin 1 Forster, Susan 1 Govan, Alex 1 Hammack, Joseph L. 1 Han, Daozhi 1 Howe, Roger Evans 1 Ishii, Atsushi 1 Jiang, Nan 1 Kader, Gary 1 Kepner, Henry 1 Kiyak, Firat 1 Kodama, Keri 1 Kutz, J. Nathan 1 Li, Congming 1 Martin, W. Gary 1 McCallum, William G. 1 Mitsotakis, Dimitrios E. 1 Mohaghar, Mohammad 1 Navon, Ionel Michael 1 Pain, Christopher C. 1 Panayotaros, Panayotis 1 Pathikonda, Gokul 1 Pelinovsky, Dmitry Efimovich 1 Pereira, André Maués Brabo 1 Pheiff, Dana 1 Player, M. A. 1 Potgieter, Hannah 1 Ranjan, Devesh 1 Reed Quander, Judith 1 Robinson, Eric E. 1 Rojek, Jerzy 1 Saito, Masahico 1 Sanford, Nathan L. 1 Smith, Ian M. 1 Snipes, Vincent 1 Socha, Katherine 1 Soe, Min 1 Tanaka, Kokoro 1 Thelwell, Roger J. 1 Thoeni, Klaus 1 Vahala, George 1 Vahala, Linda 1 Valdez, Patricia 1 Wittke, W. 1 Yepez, Jeffrey 1 Zaug, Camille R. 1 Ziegeler, S. all top 5 Serials 4 Journal of Fluid Mechanics 4 Water Waves 3 Wave Motion 3 Mathematics and Computers in Simulation 3 Studies in Applied Mathematics 2 International Journal for Numerical and Analytical Methods in Geomechanics 2 Physics Letters. A 2 Physica D 2 European Journal of Mechanics. B. Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Engineering Mathematics 1 Pacific Journal of Mathematics 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 Journal of Physics A: Mathematical and General 1 The New York Journal of Mathematics 1 International Journal of Computational Fluid Dynamics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Computational Physics all top 5 Fields 21 Fluid mechanics (76-XX) 19 Partial differential equations (35-XX) 5 History and biography (01-XX) 5 Numerical analysis (65-XX) 3 General and overarching topics; collections (00-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 Category theory; homological algebra (18-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 19 Fields 109 Partial differential equations (35-XX) 98 Fluid mechanics (76-XX) 19 Numerical analysis (65-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Geophysics (86-XX) 6 Ordinary differential equations (34-XX) 5 Mechanics of deformable solids (74-XX) 4 Quantum theory (81-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Systems theory; control (93-XX) Citations by Year