Edit Profile (opens in new tab) Deconinck, Bernard Co-Author Distance Author ID: deconinck.bernard Published as: Deconinck, Bernard; Deconinck, B. Documents Indexed: 85 Publications since 1996, including 4 Additional arXiv Preprints 1 Contribution as Editor · 1 Further Contribution Co-Authors: 61 Co-Authors with 83 Joint Publications 1,348 Co-Co-Authors all top 5 Co-Authors 4 single-authored 10 Trogdon, Thomas 8 Sheils, Natalie E. 8 Trichtchenko, Olga 8 Vasan, Vishal 7 Kutz, J. Nathan 5 Carter, John D. 5 Nivala, Michael 5 Oliveras, Katie L. 4 Creedon, Ryan P. 4 Nguyen, Nghiem V. 4 Patterson, Matthew S. 4 Segal, Benjamin Louis 4 Segur, Harvey 3 Cisneros, Jorge 3 Upsal, Jeremy 3 Yang, Xin 2 Bobenko, Alexander Ivanovich 2 Bottman, Nathaniel 2 Curtis, Christopher W. 2 Farkas, Matthew 2 Frigyik, Béla A. 2 Henderson, Diane M. 2 Hereman, Willy A. 2 Kapitula, Todd M. 2 Kollár, Richard 2 Pelinovsky, Dmitry Efimovich 2 Schmies, Markus 2 Tian, Rushun 2 van Hoeij, Mark 1 Bradley, R. Mark 1 Chen, Min 1 Colagrosso, Michael D. 1 Crowdy, Darren Gregory 1 Dyachenko, Sergey A. 1 Fokas, Athanassios S. 1 Frauendiener, Jörg 1 Guo, Qi 1 Heil, Matthias 1 Hickman, Mark S. 1 Hidalgo, Rubén Antonio 1 Kalisch, Henrik 1 Kimura, Yoshifumi 1 Kiyak, Firat 1 Klein, Christian 1 Kokotov, Aleksey 1 Kurkina, O. E. 1 Lee, Crystal W. 1 Lenells, Jonatan 1 Lovit, David O. 1 Lushnikov, Pavel Mikhaĭlovich 1 Marshall, J. D. 1 McGill, Peter 1 Mercat, Christian 1 Moldabayev, Daulet 1 Olver, Sheehan Shakiban 1 Pelloni, Beatrice 1 Poole, L. D. 1 Ringler, Adam 1 Rouvinskaya, E. A. 1 Sayers, Ryan 1 Semenova, Anastassiya 1 Seppälä, Mika 1 Shlizerman, Eli 1 Smith, David Andrew 1 Sun, Wen-Rong 1 Swierczewski, Christopher 1 Thelwell, Roger J. 1 Warner, Brandon W. 1 Wilkening, Jon A. all top 5 Serials 10 Physica D 7 Studies in Applied Mathematics 6 Physics Letters. A 4 Journal of Fluid Mechanics 4 Mathematics and Computers in Simulation 4 Applied Mathematics Letters 4 Journal of Physics A: Mathematical and Theoretical 3 Journal of Physics A: Mathematical and General 3 SIAM Review 3 Discrete and Continuous Dynamical Systems 3 SIAM Journal on Applied Dynamical Systems 2 Applicable Analysis 2 Wave Motion 2 Mathematics of Computation 2 Quarterly of Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Journal of Nonlinear Science 2 European Journal of Mechanics. B. Fluids 1 Communications in Mathematical Physics 1 IMA Journal of Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Nonlinearity 1 Theoretical and Mathematical Physics 1 European Journal of Applied Mathematics 1 SIAM Journal on Applied Mathematics 1 Mathematical Physics, Analysis and Geometry 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Nonlinear Mathematical Physics 1 Lecture Notes in Mathematics all top 5 Fields 55 Partial differential equations (35-XX) 27 Dynamical systems and ergodic theory (37-XX) 18 Fluid mechanics (76-XX) 16 Numerical analysis (65-XX) 6 Algebraic geometry (14-XX) 6 Ordinary differential equations (34-XX) 5 Quantum theory (81-XX) 4 Functions of a complex variable (30-XX) 3 General and overarching topics; collections (00-XX) 3 Special functions (33-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 76 Publications have been cited 1,016 times in 581 Documents Cited by ▼ Year ▼ Computing spectra of linear operators using the Floquet-Fourier-Hill method. Zbl 1105.65119 Deconinck, Bernard; Kutz, J. Nathan 66 2006 The instability of periodic surface gravity waves. Zbl 1241.76212 Deconinck, Bernard; Oliveras, Katie 55 2011 The method of fokas for solving linear partial differential equations. Zbl 1295.35002 Deconinck, Bernard; Trogdon, Thomas; Vasan, Vishal 44 2014 Recovering the water-wave profile from pressure measurements. Zbl 1343.76005 Oliveras, K. L.; Vasan, V.; Deconinck, B.; Henderson, D. 44 2012 KdV cnoidal waves are spectrally stable. Zbl 1178.35327 Bottman, Nate; Deconinck, Bernard 42 2009 On the spectral and orbital stability of spatially periodic stationary solutions of generalized Korteweg-de Vries equations. Zbl 1331.35305 Kapitula, Todd; Deconinck, Bernard 38 2015 Computing Riemann matrices of algebraic curves. Zbl 1054.14079 Deconinck, Bernard; van Hoeij, Mark 36 2001 Computing Riemann theta functions. Zbl 1092.33018 Deconinck, Bernard; Heil, Matthias; Bobenko, Alexander; van Hoeij, Mark; Schmies, Marcus 34 2004 The orbital stability of the cnoidal waves of the Korteweg-de Vries equation. Zbl 1238.35128 Deconinck, Bernard; Kapitula, Todd 32 2010 Elliptic solutions of the defocusing NLS equation are stable. Zbl 1222.81157 Bottman, Nathaniel; Deconinck, Bernard; Nivala, Michael 28 2011 Global existence for a coupled system of Schrödinger equations with power-type nonlinearities. Zbl 1286.35230 Nguyen, Nghiem V.; Tian, Rushun; Deconinck, Bernard; Sheils, Natalie 26 2013 The stability analysis of the periodic traveling wave solutions of the mKdV equation. Zbl 1231.35197 Deconinck, B.; Nivala, M. 26 2011 The stability spectrum for elliptic solutions to the focusing NLS equation. Zbl 1415.35251 Deconinck, Bernard; Segal, Benjamin L. 24 2017 Computational approach to Riemann surfaces. Zbl 1207.14002 23 2011 Numerical inverse scattering for the Korteweg-de Vries and modified Korteweg-de Vries equations. Zbl 1248.65108 Trogdon, Thomas; Olver, Sheehan; Deconinck, Bernard 23 2012 High-frequency instabilities of small-amplitude solutions of Hamiltonian PDEs. Zbl 1365.37057 Deconinck, Bernard; Trichtchenko, Olga 21 2017 The inverse water wave problem of bathymetry detection. Zbl 1284.76077 Vasan, Vishal; Deconinck, Bernard 17 2013 On the convergence of Hill’s method. Zbl 1205.34116 Curtis, Christopher W.; Deconinck, Bernard 16 2010 The orbital stability of elliptic solutions of the focusing nonlinear Schrödinger equation. Zbl 1437.37096 Deconinck, Bernard; Upsal, Jeremy 15 2020 Stability of periodic traveling wave solutions to the Kawahara equation. Zbl 1404.76054 Trichtchenko, Olga; Deconinck, Bernard; Kollár, Richard 15 2018 The linear KdV equation with an interface. Zbl 1351.35170 Deconinck, Bernard; Sheils, Natalie E.; Smith, David A. 15 2016 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 Continuous and discrete homotopy operators and the computation of conservation laws. Zbl 1161.65376 Hereman, Willy; Colagrosso, Michael; Sayers, Ryan; Ringler, Adam; Deconinck, Bernard; Nivala, Michael; Hickman, Mark 15 2005 Dynamics and stability of Bose-Einstein condensates: the nonlinear Schrödinger equation with periodic potential. Zbl 1009.35078 Deconinck, B.; Frigyik, B. A.; Kutz, J. N. 14 2002 Transverse instabilities of deep-water solitary waves. Zbl 1149.76627 Deconinck, Bernard; Pelinovsky, Dmitry E.; Carter, John D. 14 2006 Numerical computation of the finite-genus solutions of the Korteweg-de Vries equation via Riemann-Hilbert problems. Zbl 1255.65177 Trogdon, Thomas; Deconinck, Bernard 14 2013 The stability spectrum for elliptic solutions to the sine-Gordon equation. Zbl 1378.35028 Deconinck, Bernard; McGill, Peter; Segal, Benjamin L. 13 2017 Stability of periodic gravity waves in the presence of surface tension. Zbl 1297.76028 Deconinck, Bernard; Trichtchenko, Olga 13 2014 The instability of Wilton ripples. Zbl 1467.76018 Trichtchenko, Olga; Deconinck, Bernard; Wilkening, Jon 12 2016 Spectral stability of stationary solutions of a Boussinesq system describing long waves in dispersive media. Zbl 1300.35090 Chen, Min; Curtis, Christopher W.; Deconinck, Bernard; Lee, Crystal W.; Nguyen, Nghiem 12 2010 A Riemann-Hilbert problem for the finite-genus solutions of the KdV equation and its numerical solution. Zbl 1278.37050 Trogdon, Thomas; Deconinck, Bernard 11 2013 A numerical dressing method for the nonlinear superposition of solutions of the KdV equation. Zbl 1302.65234 Trogdon, Thomas; Deconinck, Bernard 11 2014 Heat conduction on the ring: interface problems with periodic boundary conditions. Zbl 1314.80002 Sheils, Natalie E.; Deconinck, Bernard 11 2014 Relating the bottom pressure and the surface elevation in the water wave problem. Zbl 1362.35220 Deconinck, B.; Oliveras, K. L.; Vasan, V. 10 2012 Interface problems for dispersive equations. Zbl 1314.35125 Sheils, Natalie E.; Deconinck, Bernard 10 2015 Dynamics of periodic multi-component Bose-Einstein condensates. Zbl 1038.82056 Deconinck, Bernard; Kutz, J. Nathan; Patterson, Matthew S.; Warner, Brandon W. 10 2003 Periodic finite-genus solutions of the KdV equation are orbitally stable. Zbl 1189.37080 Nivala, Michael; Deconinck, Bernard 10 2010 Real Lax spectrum implies spectral stability. Zbl 1457.37094 Upsal, Jeremy; Deconinck, Bernard 10 2020 High-frequency instabilities of Stokes waves. Zbl 07482844 Creedon, Ryan P.; Deconinck, Bernard; Trichtchenko, Olga 10 2022 Initial-to-interface maps for the heat equation on composite domains. Zbl 1346.35195 Sheils, Natalie E.; Deconinck, Bernard 9 2016 Short-wave transverse instabilities of line solitons of the two-dimensional hyperbolic nonlinear Schrödinger equation. Zbl 1301.35156 Pelinovsky, D. E.; Rouvinskaya, E. A.; Kurkina, O. E.; Deconinck, B. 9 2014 Computing with plane algebraic curves and Riemann surfaces: the algorithms of the Maple package “algcurves”. Zbl 1213.14114 Deconinck, Bernard; Patterson, Matthew S. 9 2011 Pole dynamics for elliptic solutions of the Korteweg-de Vries equation. Zbl 0970.35130 Deconinck, Bernard; Segur, Harvey 9 2000 The solution of linear constant-coefficient evolution PDEs with periodic boundary conditions. Zbl 1242.35011 Trogdon, Thomas; Deconinck, Bernard 9 2012 Direct characterization of spectral stability of small-amplitude periodic waves in scalar Hamiltonian problems via dispersion relation. Zbl 1426.37053 Kollár, Richard; Deconinck, Bernard; Trichtchenko, Olga 8 2019 Computing Riemann theta functions in Sage with applications. Zbl 1520.33013 Swierczewski, Christopher; Deconinck, Bernard 8 2016 High-frequency instabilities of the Kawahara equation: a perturbative approach. Zbl 1478.35072 Creedon, Ryan; Deconinck, Bernard; Trichtchenko, Olga 8 2021 Exact nonstationary solutions to the mean-field equations of motion for two-component Bose-Einstein condensates in periodic potentials. Zbl 1136.82339 Bradley, R. Mark; Deconinck, Bernard; Kutz, J. Nathan 7 2005 Stability of exact solutions of the defocusing nonlinear Schrödinger equation with periodic potential in two dimensions. Zbl 0984.81028 Deconinck, B.; Frigyik, B. A.; Kutz, J. N. 7 2001 Well-posedness of boundary-value problems for the linear Benjamin-Bona-Mahony equation. Zbl 1277.35115 Vasan, Vishal; Deconinck, Bernard 7 2013 Symbolic integration using homotopy methods. Zbl 1182.65044 Deconinck, Bernard; Nivala, Michael 7 2009 Continuous and discrete homotopy operators: a theoretical approach made concrete. Zbl 1120.65073 Hereman, W.; Deconinck, B.; Poole, L. D. 7 2007 Computing the Abel map. Zbl 1200.37069 Deconinck, Bernard; Patterson, Matthew S. 7 2008 A constructive test for integrability of semi-discrete systems. Zbl 1037.37505 Deconinck, Bernard 6 1996 The interaction of long and short waves in dispersive media. Zbl 1349.76030 Deconinck, Bernard; Nguyen, Nghiem V.; Segal, Benjamin L. 6 2016 Fokas’s unified transform method for linear systems. Zbl 1407.35004 Deconinck, Bernard; Guo, Qi; Shlizerman, Eli; Vasan, Vishal 6 2018 The Bernoulli boundary condition for traveling water waves. Zbl 1320.76022 Vasan, Vishal; Deconinck, Bernard 6 2013 The KP equation with quasiperiodic initial data. Zbl 0938.35165 Deconinck, Bernard; Segur, Harvey 5 1998 Explicit solutions for a long-wave model with constant vorticity. Zbl 1408.76087 Segal, Benjamin L.; Moldabayev, Daulet; Kalisch, Henrik; Deconinck, Bernard 4 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 elliptic solutions to the sinh-Gordon equation. Zbl 1472.35040 Sun, Wen-Rong; Deconinck, Bernard 4 2021 The time-dependent Schrödinger equation with piecewise constant potentials. Zbl 1506.35187 Sheils, Natalie E.; Deconinck, Bernard 4 2020 A method to recover water-wave profiles from pressure measurements. Zbl 1524.76103 Vasan, Vishal; Oliveras, Katie; Henderson, Diane; Deconinck, Bernard 3 2017 Dispersive and soliton perturbations of finite-genus solutions of the KdV equation: computational results. Zbl 1331.35312 Trogdon, Thomas; Deconinck, Bernard 3 2014 The pole dynamics of rational solutions of the viscous Burgers equation. Zbl 1119.35074 Deconinck, Bernard; Kimura, Yoshifumi; Segur, Harvey 3 2007 The implementation of the unified transform to the nonlinear Schrödinger equation with periodic initial conditions. Zbl 1466.35325 Deconinck, B.; Fokas, A. S.; Lenells, J. 3 2021 A high-order asymptotic analysis of the Benjamin-Feir instability spectrum in arbitrary depth. Zbl 1516.76032 Creedon, Ryan P.; Deconinck, Bernard 3 2023 Canonical variables for multiphase solutions of the KP equation. Zbl 1002.37033 Deconinck, Bernard 2 2000 Singular instability of exact stationary solutions of the non-local Gross-Pitaevskii equation. Zbl 1045.35077 Deconinck, Bernard; Kutz, J. Nathan 2 2003 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 The numerical solutions of linear semidiscrete evolution problems on the half-line using the unified transform method. Zbl 07476236 Cisneros, Jorge; Deconinck, Bernard 2 2021 On the nonintegrability of equations for long- and short-wave interactions. Zbl 1396.35052 Deconinck, Bernard; Upsal, Jeremy 1 2018 The instabilities of periodic traveling water waves with respect to transverse perturbations. Zbl 1326.35283 Oliveras, Katie; Deconinck, Bernard 1 2015 Data analysis and reduction using stationary solutions of the NLS equation. Zbl 1191.81110 Deconinck, Bernard; Lovit, David O. 1 2010 Numerical inverse scattering for the sine-Gordon equation. Zbl 1453.65290 Deconinck, Bernard; Trogdon, Thomas; Yang, Xin 1 2019 The numerical unified transform method for initial-boundary value problems on the half-line. Zbl 07524719 Deconinck, Bernard; Trogdon, Thomas; Yang, Xin 1 2022 A high-order asymptotic analysis of the Benjamin-Feir instability spectrum in arbitrary depth. Zbl 1516.76032 Creedon, Ryan P.; Deconinck, Bernard 3 2023 High-frequency instabilities of Stokes waves. Zbl 07482844 Creedon, Ryan P.; Deconinck, Bernard; Trichtchenko, Olga 10 2022 The numerical unified transform method for initial-boundary value problems on the half-line. Zbl 07524719 Deconinck, Bernard; Trogdon, Thomas; Yang, Xin 1 2022 High-frequency instabilities of the Kawahara equation: a perturbative approach. Zbl 1478.35072 Creedon, Ryan; Deconinck, Bernard; Trichtchenko, Olga 8 2021 Stability of elliptic solutions to the sinh-Gordon equation. Zbl 1472.35040 Sun, Wen-Rong; Deconinck, Bernard 4 2021 The implementation of the unified transform to the nonlinear Schrödinger equation with periodic initial conditions. Zbl 1466.35325 Deconinck, B.; Fokas, A. S.; Lenells, J. 3 2021 The numerical solutions of linear semidiscrete evolution problems on the half-line using the unified transform method. Zbl 07476236 Cisneros, Jorge; Deconinck, Bernard 2 2021 The orbital stability of elliptic solutions of the focusing nonlinear Schrödinger equation. Zbl 1437.37096 Deconinck, Bernard; Upsal, Jeremy 15 2020 Real Lax spectrum implies spectral stability. Zbl 1457.37094 Upsal, Jeremy; Deconinck, Bernard 10 2020 The time-dependent Schrödinger equation with piecewise constant potentials. Zbl 1506.35187 Sheils, Natalie E.; Deconinck, Bernard 4 2020 Direct characterization of spectral stability of small-amplitude periodic waves in scalar Hamiltonian problems via dispersion relation. Zbl 1426.37053 Kollár, Richard; Deconinck, Bernard; Trichtchenko, Olga 8 2019 Numerical inverse scattering for the sine-Gordon equation. Zbl 1453.65290 Deconinck, Bernard; Trogdon, Thomas; Yang, Xin 1 2019 Stability of periodic traveling wave solutions to the Kawahara equation. Zbl 1404.76054 Trichtchenko, Olga; Deconinck, Bernard; Kollár, Richard 15 2018 Fokas’s unified transform method for linear systems. Zbl 1407.35004 Deconinck, Bernard; Guo, Qi; Shlizerman, Eli; Vasan, Vishal 6 2018 On the nonintegrability of equations for long- and short-wave interactions. Zbl 1396.35052 Deconinck, Bernard; Upsal, Jeremy 1 2018 The stability spectrum for elliptic solutions to the focusing NLS equation. Zbl 1415.35251 Deconinck, Bernard; Segal, Benjamin L. 24 2017 High-frequency instabilities of small-amplitude solutions of Hamiltonian PDEs. Zbl 1365.37057 Deconinck, Bernard; Trichtchenko, Olga 21 2017 The stability spectrum for elliptic solutions to the sine-Gordon equation. Zbl 1378.35028 Deconinck, Bernard; McGill, Peter; Segal, Benjamin L. 13 2017 Explicit solutions for a long-wave model with constant vorticity. Zbl 1408.76087 Segal, Benjamin L.; Moldabayev, Daulet; Kalisch, Henrik; Deconinck, Bernard 4 2017 A method to recover water-wave profiles from pressure measurements. Zbl 1524.76103 Vasan, Vishal; Oliveras, Katie; Henderson, Diane; Deconinck, Bernard 3 2017 The linear KdV equation with an interface. Zbl 1351.35170 Deconinck, Bernard; Sheils, Natalie E.; Smith, David A. 15 2016 The instability of Wilton ripples. Zbl 1467.76018 Trichtchenko, Olga; Deconinck, Bernard; Wilkening, Jon 12 2016 Initial-to-interface maps for the heat equation on composite domains. Zbl 1346.35195 Sheils, Natalie E.; Deconinck, Bernard 9 2016 Computing Riemann theta functions in Sage with applications. Zbl 1520.33013 Swierczewski, Christopher; Deconinck, Bernard 8 2016 The interaction of long and short waves in dispersive media. Zbl 1349.76030 Deconinck, Bernard; Nguyen, Nghiem V.; Segal, Benjamin L. 6 2016 On the spectral and orbital stability of spatially periodic stationary solutions of generalized Korteweg-de Vries equations. Zbl 1331.35305 Kapitula, Todd; Deconinck, Bernard 38 2015 Interface problems for dispersive equations. Zbl 1314.35125 Sheils, Natalie E.; Deconinck, Bernard 10 2015 The instabilities of periodic traveling water waves with respect to transverse perturbations. Zbl 1326.35283 Oliveras, Katie; Deconinck, Bernard 1 2015 The method of fokas for solving linear partial differential equations. Zbl 1295.35002 Deconinck, Bernard; Trogdon, Thomas; Vasan, Vishal 44 2014 Stability of periodic gravity waves in the presence of surface tension. Zbl 1297.76028 Deconinck, Bernard; Trichtchenko, Olga 13 2014 A numerical dressing method for the nonlinear superposition of solutions of the KdV equation. Zbl 1302.65234 Trogdon, Thomas; Deconinck, Bernard 11 2014 Heat conduction on the ring: interface problems with periodic boundary conditions. Zbl 1314.80002 Sheils, Natalie E.; Deconinck, Bernard 11 2014 Short-wave transverse instabilities of line solitons of the two-dimensional hyperbolic nonlinear Schrödinger equation. Zbl 1301.35156 Pelinovsky, D. E.; Rouvinskaya, E. A.; Kurkina, O. E.; Deconinck, B. 9 2014 Dispersive and soliton perturbations of finite-genus solutions of the KdV equation: computational results. Zbl 1331.35312 Trogdon, Thomas; Deconinck, Bernard 3 2014 Global existence for a coupled system of Schrödinger equations with power-type nonlinearities. Zbl 1286.35230 Nguyen, Nghiem V.; Tian, Rushun; Deconinck, Bernard; Sheils, Natalie 26 2013 The inverse water wave problem of bathymetry detection. Zbl 1284.76077 Vasan, Vishal; Deconinck, Bernard 17 2013 Numerical computation of the finite-genus solutions of the Korteweg-de Vries equation via Riemann-Hilbert problems. Zbl 1255.65177 Trogdon, Thomas; Deconinck, Bernard 14 2013 A Riemann-Hilbert problem for the finite-genus solutions of the KdV equation and its numerical solution. Zbl 1278.37050 Trogdon, Thomas; Deconinck, Bernard 11 2013 Well-posedness of boundary-value problems for the linear Benjamin-Bona-Mahony equation. Zbl 1277.35115 Vasan, Vishal; Deconinck, Bernard 7 2013 The Bernoulli boundary condition for traveling water waves. Zbl 1320.76022 Vasan, Vishal; Deconinck, Bernard 6 2013 Recovering the water-wave profile from pressure measurements. Zbl 1343.76005 Oliveras, K. L.; Vasan, V.; Deconinck, B.; Henderson, D. 44 2012 Numerical inverse scattering for the Korteweg-de Vries and modified Korteweg-de Vries equations. Zbl 1248.65108 Trogdon, Thomas; Olver, Sheehan; Deconinck, Bernard 23 2012 Relating the bottom pressure and the surface elevation in the water wave problem. Zbl 1362.35220 Deconinck, B.; Oliveras, K. L.; Vasan, V. 10 2012 The solution of linear constant-coefficient evolution PDEs with periodic boundary conditions. Zbl 1242.35011 Trogdon, Thomas; Deconinck, Bernard 9 2012 The instability of periodic surface gravity waves. Zbl 1241.76212 Deconinck, Bernard; Oliveras, Katie 55 2011 Elliptic solutions of the defocusing NLS equation are stable. Zbl 1222.81157 Bottman, Nathaniel; Deconinck, Bernard; Nivala, Michael 28 2011 The stability analysis of the periodic traveling wave solutions of the mKdV equation. Zbl 1231.35197 Deconinck, B.; Nivala, M. 26 2011 Computational approach to Riemann surfaces. Zbl 1207.14002 23 2011 Computing with plane algebraic curves and Riemann surfaces: the algorithms of the Maple package “algcurves”. Zbl 1213.14114 Deconinck, Bernard; Patterson, Matthew S. 9 2011 The orbital stability of the cnoidal waves of the Korteweg-de Vries equation. Zbl 1238.35128 Deconinck, Bernard; Kapitula, Todd 32 2010 On the convergence of Hill’s method. Zbl 1205.34116 Curtis, Christopher W.; Deconinck, Bernard 16 2010 Spectral stability of stationary solutions of a Boussinesq system describing long waves in dispersive media. Zbl 1300.35090 Chen, Min; Curtis, Christopher W.; Deconinck, Bernard; Lee, Crystal W.; Nguyen, Nghiem 12 2010 Periodic finite-genus solutions of the KdV equation are orbitally stable. Zbl 1189.37080 Nivala, Michael; Deconinck, Bernard 10 2010 Data analysis and reduction using stationary solutions of the NLS equation. Zbl 1191.81110 Deconinck, Bernard; Lovit, David O. 1 2010 KdV cnoidal waves are spectrally stable. Zbl 1178.35327 Bottman, Nate; Deconinck, Bernard 42 2009 Symbolic integration using homotopy methods. Zbl 1182.65044 Deconinck, Bernard; Nivala, Michael 7 2009 Computing the Abel map. Zbl 1200.37069 Deconinck, Bernard; Patterson, Matthew S. 7 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 Continuous and discrete homotopy operators: a theoretical approach made concrete. Zbl 1120.65073 Hereman, W.; Deconinck, B.; Poole, L. D. 7 2007 The pole dynamics of rational solutions of the viscous Burgers equation. Zbl 1119.35074 Deconinck, Bernard; Kimura, Yoshifumi; Segur, Harvey 3 2007 Computing spectra of linear operators using the Floquet-Fourier-Hill method. Zbl 1105.65119 Deconinck, Bernard; Kutz, J. Nathan 66 2006 Transverse instabilities of deep-water solitary waves. Zbl 1149.76627 Deconinck, Bernard; Pelinovsky, Dmitry E.; Carter, John D. 14 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 Continuous and discrete homotopy operators and the computation of conservation laws. Zbl 1161.65376 Hereman, Willy; Colagrosso, Michael; Sayers, Ryan; Ringler, Adam; Deconinck, Bernard; Nivala, Michael; Hickman, Mark 15 2005 Exact nonstationary solutions to the mean-field equations of motion for two-component Bose-Einstein condensates in periodic potentials. Zbl 1136.82339 Bradley, R. Mark; Deconinck, Bernard; Kutz, J. Nathan 7 2005 Computing Riemann theta functions. Zbl 1092.33018 Deconinck, Bernard; Heil, Matthias; Bobenko, Alexander; van Hoeij, Mark; Schmies, Marcus 34 2004 Dynamics of periodic multi-component Bose-Einstein condensates. Zbl 1038.82056 Deconinck, Bernard; Kutz, J. Nathan; Patterson, Matthew S.; Warner, Brandon W. 10 2003 Singular instability of exact stationary solutions of the non-local Gross-Pitaevskii equation. Zbl 1045.35077 Deconinck, Bernard; Kutz, J. Nathan 2 2003 Dynamics and stability of Bose-Einstein condensates: the nonlinear Schrödinger equation with periodic potential. Zbl 1009.35078 Deconinck, B.; Frigyik, B. A.; Kutz, J. N. 14 2002 Computing Riemann matrices of algebraic curves. Zbl 1054.14079 Deconinck, Bernard; van Hoeij, Mark 36 2001 Stability of exact solutions of the defocusing nonlinear Schrödinger equation with periodic potential in two dimensions. Zbl 0984.81028 Deconinck, B.; Frigyik, B. A.; Kutz, J. N. 7 2001 Pole dynamics for elliptic solutions of the Korteweg-de Vries equation. Zbl 0970.35130 Deconinck, Bernard; Segur, Harvey 9 2000 Canonical variables for multiphase solutions of the KP equation. Zbl 1002.37033 Deconinck, Bernard 2 2000 The KP equation with quasiperiodic initial data. Zbl 0938.35165 Deconinck, Bernard; Segur, Harvey 5 1998 A constructive test for integrability of semi-discrete systems. Zbl 1037.37505 Deconinck, Bernard 6 1996 all cited Publications top 5 cited Publications all top 5 Cited by 714 Authors 42 Deconinck, Bernard 19 Johnson, Mathew A. 16 Pelinovsky, Dmitry Efimovich 12 Trogdon, Thomas 11 Fokas, Athanassios S. 10 Hur, Vera Mikyoung 9 Kapitula, Todd M. 9 Klein, Christian 9 Rodrigues, Luis Miguel 9 Stefanov, Atanas G. 9 Trichtchenko, Olga 8 Akers, Benjamin F. 8 Biondini, Gino 8 Haragus, Mariana 8 Kalimeris, Konstantinos 8 Mantzavinos, Dionyssios 8 Saanouni, Tarek 8 Stanislavova, Milena 8 Zumbrun, Kevin R. 7 Barker, Blake 7 Carter, John D. 7 Frauendiener, Jörg 7 Himonas, A. Alexandrou 7 Natali, Fábio M. Amorin 7 Sheils, Natalie E. 6 Bilman, Deniz 6 Bronski, Jared C. 6 Clamond, Didier 6 Hakkaev, Sevdzhan A. 6 Kalisch, Henrik 6 Nicholls, David P. 6 Noble, Pascal 6 Smith, David Andrew 6 Sun, Jianqing 6 Vasan, Vishal 6 Wang, Dengshan 6 Yan, Fangchi 6 Zhang, Yingnan 5 Cavalcante, Márcio André Araújo 5 Constantin, Adrian 5 Kevrekidis, Panayotis G. 5 Ling, Liming 5 Marangell, Robert 5 Oliveras, Katie L. 5 Pastor, Ademir 5 Sun, Wen-Rong 5 Wen, Xiaoyong 5 Wilkening, Jon A. 4 Berti, Massimiliano 4 Blyth, Mark G. 4 Bogatyrev, Andrei Borisovich 4 Chen, Jinbing 4 Colbrook, Matthew J. 4 Cole, Justin T. 4 Geng, Xianguo 4 Henry, David 4 Hu, Xingbiao 4 Malomed, Boris A. 4 Maspero, Alberto 4 Părău, Emilian I. 4 Pelinovsky, Efim 4 Plaza, Ramón G. 4 Sherratt, Jonathan A. 4 Shimabukuro, Yusuke 4 Sun, Xuan 4 Vanden-Broeck, Jean-Marc 4 Ventura, Paolo 4 Zharinov, Victor Victorovich 3 Abid, Malek 3 Ablowitz, Mark Jay 3 Agostini, Daniele 3 Amaral, Sabrina 3 Basu, Biswajit 3 Camassa, Roberto 3 Chen, Robin Ming 3 Chien, Mao-Ting 3 Coclite, Giuseppe Maria 3 Corcho, Adán J. 3 Creedon, Ryan P. 3 Crowdy, Darren Gregory 3 Di Ruvo, Lorenzo 3 Dyachenko, Sergey A. 3 Ehrnström, Mats 3 Grigor’ev, O. A. 3 Jia, Minxin 3 Kengne, Emmanuel 3 Kharif, Christian 3 Lafortune, Stéphane 3 Liu, Wuming 3 Lyons, Tony 3 Musslimani, Ziad H. 3 Nabelek, Patrik V. 3 Nachbin, André 3 Nakazato, Hiroshi 3 Naz, Rehana 3 Nguyen, Nghiem V. 3 Nivala, Michael 3 Olver, Sheehan Shakiban 3 Pelloni, Beatrice 3 Semenova, Anastassiya ...and 614 more Authors all top 5 Cited in 157 Serials 51 Physica D 32 Journal of Fluid Mechanics 21 Studies in Applied Mathematics 19 Journal of Mathematical Physics 17 Nonlinearity 16 Communications in Nonlinear Science and Numerical Simulation 14 Journal of Differential Equations 13 Journal of Mathematical Analysis and Applications 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Journal of Nonlinear Science 11 European Journal of Mechanics. B. Fluids 10 Communications in Mathematical Physics 10 Physics Letters. A 10 Wave Motion 10 SIAM Journal on Mathematical Analysis 9 Applied Mathematics Letters 9 Discrete and Continuous Dynamical Systems 8 Quarterly of Applied Mathematics 8 Journal of Physics A: Mathematical and Theoretical 7 Archive for Rational Mechanics and Analysis 7 Journal of Computational Physics 7 Mathematics of Computation 7 Mathematics and Computers in Simulation 7 SIAM Journal on Applied Mathematics 7 Nonlinear Analysis. Real World Applications 6 European Journal of Applied Mathematics 6 Computational Methods and Function Theory 6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 6 Water Waves 5 Applicable Analysis 5 Theoretical and Mathematical Physics 5 Nonlinear Dynamics 5 SIAM Journal on Applied Dynamical Systems 5 Analysis and Mathematical Physics 4 Computers & Mathematics with Applications 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Applied Mathematics and Computation 4 Proceedings of the American Mathematical Society 4 Journal of Symbolic Computation 4 Journal of Dynamics and Differential Equations 3 Letters in Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Journal of Computational and Applied Mathematics 3 Transactions of the American Mathematical Society 3 Linear Algebra and its Applications 3 Journal of Mathematical Fluid Mechanics 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 International Journal of Modern Physics B 2 Communications on Pure and Applied Mathematics 2 Inverse Problems 2 Journal of Engineering Mathematics 2 Physica A 2 Advances in Mathematics 2 Systems & Control Letters 2 Acta Applicandae Mathematicae 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Applied Numerical Mathematics 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 Experimental Mathematics 2 Advances in Computational Mathematics 2 Abstract and Applied Analysis 2 Chaos 2 Communications in Contemporary Mathematics 2 Journal of Nonlinear Mathematical Physics 2 Journal of Evolution Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Proceedings of the Steklov Institute of Mathematics 2 Mathematical Modelling of Natural Phenomena 2 Discrete and Continuous Dynamical Systems. Series S 2 Communications in Theoretical Physics 2 Journal of Spectral Theory 2 Arabian Journal of Mathematics 2 East Asian Journal on Applied Mathematics 2 SIAM Journal on Applied Algebra and Geometry 2 SN Partial Differential Equations and Applications 1 Acta Mechanica 1 Computer Physics Communications 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Journal of Mathematical Biology 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Acta Arithmetica 1 BIT 1 Bulletin de la Société Mathématique de France 1 Calcolo 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Journal of the Indian Institute of Science 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society ...and 57 more Serials all top 5 Cited in 45 Fields 419 Partial differential equations (35-XX) 157 Fluid mechanics (76-XX) 136 Dynamical systems and ergodic theory (37-XX) 69 Numerical analysis (65-XX) 39 Algebraic geometry (14-XX) 24 Ordinary differential equations (34-XX) 24 Operator theory (47-XX) 22 Geophysics (86-XX) 20 Special functions (33-XX) 20 Statistical mechanics, structure of matter (82-XX) 19 Quantum theory (81-XX) 18 Computer science (68-XX) 16 Optics, electromagnetic theory (78-XX) 14 Functions of a complex variable (30-XX) 11 Difference and functional equations (39-XX) 9 Mechanics of deformable solids (74-XX) 7 Mechanics of particles and systems (70-XX) 6 Number theory (11-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Statistics (62-XX) 6 Systems theory; control (93-XX) 5 Commutative algebra (13-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Probability theory and stochastic processes (60-XX) 3 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Functional analysis (46-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Relativity and gravitational theory (83-XX) 3 Biology and other natural sciences (92-XX) 2 Field theory and polynomials (12-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 1 General and overarching topics; collections (00-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year