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Deconinck, Bernard

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Author ID: deconinck.bernard Recent zbMATH articles by "Deconinck, Bernard"
Published as: Deconinck, B.; Deconinck, Bernard
Documents Indexed: 68 Publications since 1996

Publications by Year

Citations contained in zbMATH

59 Publications have been cited 589 times in 361 Documents Cited by Year
Computing spectra of linear operators using the Floquet-Fourier-Hill method. Zbl 1105.65119
Deconinck, Bernard; Kutz, J. Nathan
45
2006
Recovering the water-wave profile from pressure measurements. Zbl 1343.76005
Oliveras, K. L.; Vasan, V.; Deconinck, B.; Henderson, D.
36
2012
The instability of periodic surface gravity waves. Zbl 1241.76212
Deconinck, Bernard; Oliveras, Katie
33
2011
KdV cnoidal waves are spectrally stable. Zbl 1178.35327
Bottman, Nate; Deconinck, Bernard
33
2009
Computing Riemann matrices of algebraic curves. Zbl 1054.14079
Deconinck, Bernard; van Hoeij, Mark
25
2001
Computing Riemann theta functions. Zbl 1092.33018
Deconinck, Bernard; Heil, Matthias; Bobenko, Alexander; van Hoeij, Mark; Schmies, Marcus
23
2004
The method of fokas for solving linear partial differential equations. Zbl 1295.35002
Deconinck, Bernard; Trogdon, Thomas; Vasan, Vishal
22
2014
The orbital stability of the cnoidal waves of the Korteweg-de Vries equation. Zbl 1238.35128
Deconinck, Bernard; Kapitula, Todd
22
2010
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
20
2013
On the spectral and orbital stability of spatially periodic stationary solutions of generalized Korteweg-de Vries equations. Zbl 1331.35305
Kapitula, Todd; Deconinck, Bernard
18
2015
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
17
2005
The inverse water wave problem of bathymetry detection. Zbl 1284.76077
Vasan, Vishal; Deconinck, Bernard
14
2013
Numerical inverse scattering for the Korteweg-de Vries and modified Korteweg-de Vries equations. Zbl 1248.65108
Trogdon, Thomas; Olver, Sheehan; Deconinck, Bernard
14
2012
Elliptic solutions of the defocusing NLS equation are stable. Zbl 1222.81157
Bottman, Nathaniel; Deconinck, Bernard; Nivala, Michael
14
2011
The stability analysis of the periodic traveling wave solutions of the mKdV equation. Zbl 1231.35197
Deconinck, B.; Nivala, M.
14
2011
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
14
2007
High-frequency instabilities of small-amplitude solutions of Hamiltonian PDEs. Zbl 1365.37057
Deconinck, Bernard; Trichtchenko, Olga
12
2017
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.
12
2002
Stability of periodic gravity waves in the presence of surface tension. Zbl 1297.76028
Deconinck, Bernard; Trichtchenko, Olga
10
2014
On the convergence of Hill’s method. Zbl 1205.34116
Curtis, Christopher W.; Deconinck, Bernard
10
2010
Transverse instabilities of deep-water solitary waves. Zbl 1149.76627
Deconinck, Bernard; Pelinovsky, Dmitry E.; Carter, John D.
10
2006
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
9
2010
The linear KdV equation with an interface. Zbl 1351.35170
Deconinck, Bernard; Sheils, Natalie E.; Smith, David A.
8
2016
Relating the bottom pressure and the surface elevation in the water wave problem. Zbl 1362.35220
Deconinck, B.; Oliveras, K. L.; Vasan, V.
8
2012
Pole dynamics for elliptic solutions of the Korteweg-de Vries equation. Zbl 0970.35130
Deconinck, Bernard; Segur, Harvey
8
2000
Interface problems for dispersive equations. Zbl 1314.35125
Sheils, Natalie E.; Deconinck, Bernard
7
2015
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.
7
2014
The solution of linear constant-coefficient evolution PDEs with periodic boundary conditions. Zbl 1242.35011
Trogdon, Thomas; Deconinck, Bernard
7
2012
Computing with plane algebraic curves and Riemann surfaces: the algorithms of the Maple package “algcurves”. Zbl 1213.14114
Deconinck, Bernard; Patterson, Matthew S.
7
2011
Initial-to-interface maps for the heat equation on composite domains. Zbl 1346.35195
Sheils, Natalie E.; Deconinck, Bernard
6
2016
A Riemann-Hilbert problem for the finite-genus solutions of the KdV equation and its numerical solution. Zbl 1278.37050
Trogdon, Thomas; Deconinck, Bernard
6
2013
Periodic finite-genus solutions of the KdV equation are orbitally stable. Zbl 1189.37080
Nivala, Michael; Deconinck, Bernard
6
2010
Dynamics of periodic multi-component Bose-Einstein condensates. Zbl 1038.82056
Deconinck, Bernard; Kutz, J. Nathan; Patterson, Matthew S.; Warner, Brandon W.
6
2003
A constructive test for integrability of semi-discrete systems. Zbl 1037.37505
Deconinck, Bernard
6
1996
Numerical computation of the finite-genus solutions of the Korteweg-de Vries equation via Riemann-Hilbert problems. Zbl 1255.65177
Trogdon, Thomas; Deconinck, Bernard
5
2013
Symbolic integration using homotopy methods. Zbl 1182.65044
Deconinck, Bernard; Nivala, Michael
5
2009
Continuous and discrete homotopy operators: a theoretical approach made concrete. Zbl 1120.65073
Hereman, W.; Deconinck, B.; Poole, L. D.
5
2007
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
5
2005
The KP equation with quasiperiodic initial data. Zbl 0938.35165
Deconinck, Bernard; Segur, Harvey
5
1998
The stability spectrum for elliptic solutions to the sine-Gordon equation. Zbl 1378.35028
Deconinck, Bernard; McGill, Peter; Segal, Benjamin L.
4
2017
A numerical dressing method for the nonlinear superposition of solutions of the KdV equation. Zbl 1302.65234
Trogdon, Thomas; Deconinck, Bernard
4
2014
Well-posedness of boundary-value problems for the linear Benjamin-Bona-Mahony equation. Zbl 1277.35115
Vasan, Vishal; Deconinck, Bernard
4
2013
The Bernoulli boundary condition for traveling water waves. Zbl 1320.76022
Vasan, Vishal; Deconinck, Bernard
4
2013
Computing the Abel map. Zbl 1200.37069
Deconinck, Bernard; Patterson, Matthew S.
4
2008
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 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.
4
2001
Stability of periodic traveling wave solutions to the Kawahara equation. Zbl 1404.76054
Trichtchenko, Olga; Deconinck, Bernard; Kollár, Richard
3
2018
The stability spectrum for elliptic solutions to the focusing NLS equation. Zbl 1415.35251
Deconinck, Bernard; Segal, Benjamin L.
3
2017
Explicit solutions for a long-wave model with constant vorticity. Zbl 1408.76087
Segal, Benjamin L.; Moldabayev, Daulet; Kalisch, Henrik; Deconinck, Bernard
3
2017
The interaction of long and short waves in dispersive media. Zbl 1349.76030
Deconinck, Bernard; Nguyen, Nghiem V.; Segal, Benjamin L.
3
2016
Heat conduction on the ring: interface problems with periodic boundary conditions. Zbl 1314.80002
Sheils, Natalie E.; Deconinck, Bernard
3
2014
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
2
2019
Fokas’s unified transform method for linear systems. Zbl 1407.35004
Deconinck, Bernard; Guo, Qi; Shlizerman, Eli; Vasan, Vishal
2
2018
The instability of Wilton ripples. Zbl 07209829
Trichtchenko, Olga; Deconinck, Bernard; Wilkening, Jon
2
2016
Singular instability of exact stationary solutions of the non-local Gross-Pitaevskii equation. Zbl 1045.35077
Deconinck, Bernard; Kutz, J. Nathan
2
2003
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
The pole dynamics of rational solutions of the viscous Burgers equation. Zbl 1119.35074
Deconinck, Bernard; Kimura, Yoshifumi; Segur, Harvey
1
2007
Canonical variables for multiphase solutions of the KP equation. Zbl 1002.37033
Deconinck, Bernard
1
2000
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
2
2019
Stability of periodic traveling wave solutions to the Kawahara equation. Zbl 1404.76054
Trichtchenko, Olga; Deconinck, Bernard; Kollár, Richard
3
2018
Fokas’s unified transform method for linear systems. Zbl 1407.35004
Deconinck, Bernard; Guo, Qi; Shlizerman, Eli; Vasan, Vishal
2
2018
High-frequency instabilities of small-amplitude solutions of Hamiltonian PDEs. Zbl 1365.37057
Deconinck, Bernard; Trichtchenko, Olga
12
2017
The stability spectrum for elliptic solutions to the sine-Gordon equation. Zbl 1378.35028
Deconinck, Bernard; McGill, Peter; Segal, Benjamin L.
4
2017
The stability spectrum for elliptic solutions to the focusing NLS equation. Zbl 1415.35251
Deconinck, Bernard; Segal, Benjamin L.
3
2017
Explicit solutions for a long-wave model with constant vorticity. Zbl 1408.76087
Segal, Benjamin L.; Moldabayev, Daulet; Kalisch, Henrik; Deconinck, Bernard
3
2017
The linear KdV equation with an interface. Zbl 1351.35170
Deconinck, Bernard; Sheils, Natalie E.; Smith, David A.
8
2016
Initial-to-interface maps for the heat equation on composite domains. Zbl 1346.35195
Sheils, Natalie E.; Deconinck, Bernard
6
2016
The interaction of long and short waves in dispersive media. Zbl 1349.76030
Deconinck, Bernard; Nguyen, Nghiem V.; Segal, Benjamin L.
3
2016
The instability of Wilton ripples. Zbl 07209829
Trichtchenko, Olga; Deconinck, Bernard; Wilkening, Jon
2
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
18
2015
Interface problems for dispersive equations. Zbl 1314.35125
Sheils, Natalie E.; Deconinck, Bernard
7
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
22
2014
Stability of periodic gravity waves in the presence of surface tension. Zbl 1297.76028
Deconinck, Bernard; Trichtchenko, Olga
10
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.
7
2014
A numerical dressing method for the nonlinear superposition of solutions of the KdV equation. Zbl 1302.65234
Trogdon, Thomas; Deconinck, Bernard
4
2014
Heat conduction on the ring: interface problems with periodic boundary conditions. Zbl 1314.80002
Sheils, Natalie E.; 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
20
2013
The inverse water wave problem of bathymetry detection. Zbl 1284.76077
Vasan, Vishal; 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
6
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
5
2013
Well-posedness of boundary-value problems for the linear Benjamin-Bona-Mahony equation. Zbl 1277.35115
Vasan, Vishal; Deconinck, Bernard
4
2013
The Bernoulli boundary condition for traveling water waves. Zbl 1320.76022
Vasan, Vishal; Deconinck, Bernard
4
2013
Recovering the water-wave profile from pressure measurements. Zbl 1343.76005
Oliveras, K. L.; Vasan, V.; Deconinck, B.; Henderson, D.
36
2012
Numerical inverse scattering for the Korteweg-de Vries and modified Korteweg-de Vries equations. Zbl 1248.65108
Trogdon, Thomas; Olver, Sheehan; Deconinck, Bernard
14
2012
Relating the bottom pressure and the surface elevation in the water wave problem. Zbl 1362.35220
Deconinck, B.; Oliveras, K. L.; Vasan, V.
8
2012
The solution of linear constant-coefficient evolution PDEs with periodic boundary conditions. Zbl 1242.35011
Trogdon, Thomas; Deconinck, Bernard
7
2012
The instability of periodic surface gravity waves. Zbl 1241.76212
Deconinck, Bernard; Oliveras, Katie
33
2011
Elliptic solutions of the defocusing NLS equation are stable. Zbl 1222.81157
Bottman, Nathaniel; Deconinck, Bernard; Nivala, Michael
14
2011
The stability analysis of the periodic traveling wave solutions of the mKdV equation. Zbl 1231.35197
Deconinck, B.; Nivala, M.
14
2011
Computing with plane algebraic curves and Riemann surfaces: the algorithms of the Maple package “algcurves”. Zbl 1213.14114
Deconinck, Bernard; Patterson, Matthew S.
7
2011
The orbital stability of the cnoidal waves of the Korteweg-de Vries equation. Zbl 1238.35128
Deconinck, Bernard; Kapitula, Todd
22
2010
On the convergence of Hill’s method. Zbl 1205.34116
Curtis, Christopher W.; Deconinck, Bernard
10
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
9
2010
Periodic finite-genus solutions of the KdV equation are orbitally stable. Zbl 1189.37080
Nivala, Michael; Deconinck, Bernard
6
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
33
2009
Symbolic integration using homotopy methods. Zbl 1182.65044
Deconinck, Bernard; Nivala, Michael
5
2009
Computing the Abel map. Zbl 1200.37069
Deconinck, Bernard; Patterson, Matthew S.
4
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
14
2007
Continuous and discrete homotopy operators: a theoretical approach made concrete. Zbl 1120.65073
Hereman, W.; Deconinck, B.; Poole, L. D.
5
2007
The pole dynamics of rational solutions of the viscous Burgers equation. Zbl 1119.35074
Deconinck, Bernard; Kimura, Yoshifumi; Segur, Harvey
1
2007
Computing spectra of linear operators using the Floquet-Fourier-Hill method. Zbl 1105.65119
Deconinck, Bernard; Kutz, J. Nathan
45
2006
Transverse instabilities of deep-water solitary waves. Zbl 1149.76627
Deconinck, Bernard; Pelinovsky, Dmitry E.; Carter, John D.
10
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
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
17
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
5
2005
Computing Riemann theta functions. Zbl 1092.33018
Deconinck, Bernard; Heil, Matthias; Bobenko, Alexander; van Hoeij, Mark; Schmies, Marcus
23
2004
Dynamics of periodic multi-component Bose-Einstein condensates. Zbl 1038.82056
Deconinck, Bernard; Kutz, J. Nathan; Patterson, Matthew S.; Warner, Brandon W.
6
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.
12
2002
Computing Riemann matrices of algebraic curves. Zbl 1054.14079
Deconinck, Bernard; van Hoeij, Mark
25
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.
4
2001
Pole dynamics for elliptic solutions of the Korteweg-de Vries equation. Zbl 0970.35130
Deconinck, Bernard; Segur, Harvey
8
2000
Canonical variables for multiphase solutions of the KP equation. Zbl 1002.37033
Deconinck, Bernard
1
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 top 5

Cited by 460 Authors

33 Deconinck, Bernard
17 Johnson, Mathew A.
9 Fokas, Athanassios S.
9 Kapitula, Todd M.
9 Pelinovsky, Dmitry Efimovich
8 Hur, Vera Mikyoung
8 Klein, Christian
8 Trogdon, Thomas
8 Zumbrun, Kevin R.
7 Kalimeris, Konstantinos
6 Barker, Blake
6 Carter, John D.
6 Frauendiener, Jörg
6 Rodrigues, Luis Miguel
6 Sheils, Natalie E.
6 Trichtchenko, Olga
6 Vasan, Vishal
5 Haragus, Mariana
5 Hereman, Willy A.
5 Kalisch, Henrik
5 Noble, Pascal
5 Oliveras, Katie L.
5 Pastor, Ademir
4 Akers, Benjamin F.
4 Bilman, Deniz
4 Bronski, Jared C.
4 Clamond, Didier
4 Nicholls, David P.
4 Saanouni, Tarek
4 Sherratt, Jonathan A.
4 Smith, David Andrew
4 Stanislavova, Milena
4 Stefanov, Atanas G.
4 Wang, Dengshan
4 Zharinov, Victor Victorovich
3 Biondini, Gino
3 Bogatyrev, Andrei Borisovich
3 Cavalcante, Márcio
3 Chen, Robin Ming
3 Constantin, Adrian
3 Curtis, Christopher W.
3 Ehrnström, Mats
3 Himonas, A. Alexandrou
3 Kevrekidis, Panayotis G.
3 Lyons, Tony
3 Malomed, Boris A.
3 Mantzavinos, Dionyssios
3 Miller, Peter D.
3 Nachbin, André
3 Naeem, Imran
3 Naz, Rehana
3 Nivala, Michael
3 Părău, Emilian I.
3 Shimabukuro, Yusuke
3 Vanden-Broeck, Jean-Marc
3 Walsh, Samuel
3 Wen, Xiaoyong
2 Abid, Malek
2 Ablowitz, Mark Jay
2 Amann, Dominic
2 Anco, Stephen C.
2 Andrade, David
2 Ashton, Anthony C. L.
2 Basu, Biswajit
2 Bhattarai, Santosh
2 Blyth, Mark G.
2 Camassa, Roberto
2 Claassen, Kyle M.
2 Colbrook, Matthew J.
2 Cole, Justin T.
2 Constantin, Andrei
2 Corcho, Adán J.
2 Crowdy, Darren Gregory
2 Dasgupta, Anirvan
2 Dutykh, Denys
2 Farah, Luiz Gustavo
2 Gerdzhikov, Vladimir Stefanov
2 Gesztesy, Fritz
2 Göktaş, Ünal
2 Gou, Tianxiang
2 Grigor’ev, O. A.
2 Grinevich, Pëtr Georgievich
2 Grudsky, Sergei Mikhailovich
2 Hakkaev, Sevdzhan A.
2 Hsu, Hung-Chu
2 Ivey, Thomas A.
2 Jeanjean, Louis
2 Kara, Abdul Hamid
2 Kengne, Emmanuel
2 Kharif, Christian
2 Kollár, Richard
2 Kostov, Nikolay A.
2 Kutz, J. Nathan
2 Labrande, Hugo
2 Lafortune, Stéphane
2 Lannes, David
2 Lecaros, Rodrigo
2 Lenells, Jonatan
2 Liu, Qihuai
2 Liu, Yaqing
...and 360 more Authors
all top 5

Cited in 108 Serials

34 Physica D
18 Journal of Fluid Mechanics
15 Journal of Mathematical Physics
15 Studies in Applied Mathematics
11 Journal of Differential Equations
10 European Journal of Mechanics. B. Fluids
9 Journal of Mathematical Analysis and Applications
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 SIAM Journal on Mathematical Analysis
8 Discrete and Continuous Dynamical Systems
8 Communications in Nonlinear Science and Numerical Simulation
7 Nonlinearity
7 Physics Letters. A
7 Mathematics of Computation
6 Mathematics and Computers in Simulation
6 Applied Mathematics Letters
6 SIAM Journal on Applied Mathematics
6 Nonlinear Analysis. Real World Applications
6 Computational Methods and Function Theory
6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
5 Communications in Mathematical Physics
5 Theoretical and Mathematical Physics
5 Nonlinear Dynamics
4 Applicable Analysis
4 Archive for Rational Mechanics and Analysis
4 Journal of Computational Physics
4 Wave Motion
4 Quarterly of Applied Mathematics
4 Journal of Symbolic Computation
4 Journal of Nonlinear Science
3 Computers & Mathematics with Applications
3 Letters in Mathematical Physics
3 Applied Mathematics and Computation
3 Journal of Computational and Applied Mathematics
3 Proceedings of the American Mathematical Society
3 Transactions of the American Mathematical Society
3 Journal of Mathematical Fluid Mechanics
3 Analysis and Mathematical Physics
2 Mathematical Methods in the Applied Sciences
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 European Journal of Applied Mathematics
2 Applied Mathematical Modelling
2 Linear Algebra and its Applications
2 Journal of Dynamics and Differential Equations
2 Experimental Mathematics
2 Advances in Computational Mathematics
2 Abstract and Applied Analysis
2 Chaos
2 Communications in Contemporary Mathematics
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Discrete and Continuous Dynamical Systems. Series S
2 Arabian Journal of Mathematics
2 SIAM Journal on Applied Algebra and Geometry
2 Water Waves
1 Acta Mechanica
1 Communications on Pure and Applied Mathematics
1 Inverse Problems
1 Journal of Engineering Mathematics
1 Journal of Mathematical Biology
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 Czechoslovak Mathematical Journal
1 Duke Mathematical Journal
1 Journal of Approximation Theory
1 Journal of Functional Analysis
1 Mathematische Annalen
1 SIAM Journal on Control and Optimization
1 Theoretical Computer Science
1 Systems & Control Letters
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Numerical Mathematics
1 Revista Matemática Iberoamericana
1 Japan Journal of Industrial and Applied Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Communications in Partial Differential Equations
1 Archive of Applied Mechanics
1 SIAM Journal on Scientific Computing
1 Opuscula Mathematica
1 Mathematical Problems in Engineering
1 Revista Matemática Complutense
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 LMS Journal of Computation and Mathematics
1 Acta Mathematica Sinica. English Series
1 Annales Henri Poincaré
1 Journal of Nonlinear Mathematical Physics
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Applied Mathematics
1 Communications on Pure and Applied Analysis
1 Bulletin of the Brazilian Mathematical Society. New Series
1 SIAM Journal on Applied Dynamical Systems
1 International Journal of Geometric Methods in Modern Physics
1 Advances in Difference Equations
1 Proceedings of the Steklov Institute of Mathematics
1 Nonlinear Oscillations
1 Mathematics in Computer Science
1 Complex Analysis and Operator Theory
...and 8 more Serials
all top 5

Cited in 42 Fields

259 Partial differential equations (35-XX)
95 Fluid mechanics (76-XX)
78 Dynamical systems and ergodic theory (37-XX)
47 Numerical analysis (65-XX)
28 Algebraic geometry (14-XX)
15 Ordinary differential equations (34-XX)
13 Geophysics (86-XX)
12 Operator theory (47-XX)
12 Computer science (68-XX)
11 Quantum theory (81-XX)
10 Special functions (33-XX)
10 Statistical mechanics, structure of matter (82-XX)
9 Functions of a complex variable (30-XX)
9 Optics, electromagnetic theory (78-XX)
8 Mechanics of deformable solids (74-XX)
6 Mechanics of particles and systems (70-XX)
5 Number theory (11-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Difference and functional equations (39-XX)
4 Commutative algebra (13-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Relativity and gravitational theory (83-XX)
3 Systems theory; control (93-XX)
2 History and biography (01-XX)
2 Field theory and polynomials (12-XX)
2 Probability theory and stochastic processes (60-XX)
2 Statistics (62-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Biology and other natural sciences (92-XX)
1 General and overarching topics; collections (00-XX)
1 Combinatorics (05-XX)
1 \(K\)-theory (19-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Integral equations (45-XX)
1 Functional analysis (46-XX)
1 Geometry (51-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year