| The numerical integration of relative equilibrium solutions. The nonlinear Schrödinger equation A Durán, JM Sanz-Serna IMA journal of numerical analysis 20 (2), 235-261, 2000 | 96 | 2000 |
| A numerical study of the stability of solitary waves of the Bona–Smith family of Boussinesq systems VA Dougalis, A Durán, MA Lopez-Marcos, DE Mitsotakis Journal of Nonlinear Science 17, 569-607, 2007 | 44 | 2007 |
| Conservative numerical methods for solitary wave interactions A Durán, MA Lopez-Marcos Journal of Physics A: Mathematical and General 36 (28), 7761, 2003 | 42 | 2003 |
| Petviashvili type methods for traveling wave computations: I. Analysis of convergence J Álvarez, A Durán Journal of Computational and Applied Mathematics 266, 39-51, 2014 | 38 | 2014 |
| On the Galilean invariance of some nonlinear dispersive wave equations A Duran, D Dutykh, D Mitsotakis Studies in Applied Mathematics 131 (4), 359-388, 2013 | 32 | 2013 |
| Numerical behaviour of stable and unstable solitary waves A Durán, MA López-Marcos Applied numerical mathematics 42 (1-3), 95-116, 2002 | 32 | 2002 |
| The numerical integration of relative equilibrium solutions. Geometric theory A Durán, JM Sanz-Serna Nonlinearity 11 (6), 1547, 1998 | 26 | 1998 |
| Numerical approximation of solitary waves of the Benjamin equation VA Dougalis, A Durán, DE Mitsotakis Mathematics and Computers in Simulation 127, 56-79, 2016 | 24 | 2016 |
| A plethora of generalised solitary gravity–capillary water waves D Clamond, D Dutykh, A Durán Journal of Fluid Mechanics 784, 664-680, 2015 | 23 | 2015 |
| Error propagation in the numerical integration of solitary waves. The regularized long wave equation A Araújo, A Durán Applied numerical mathematics 36 (2-3), 197-217, 2001 | 22 | 2001 |
| Petviashvili type methods for traveling wave computations: II. Acceleration with vector extrapolation methods J Álvarez, A Durán Mathematics and Computers in Simulation 123, 19-36, 2016 | 21 | 2016 |
| Numerical solution of the Benjamin equation VA Dougalis, A Duran, D Mitsotakis Wave Motion 52, 194-215, 2015 | 18 | 2015 |
| An extended Petviashvili method for the numerical generation of traveling and localized waves J Álvarez, A Durán Communications in Nonlinear Science and Numerical Simulation 19 (7), 2272-2283, 2014 | 17 | 2014 |
| Numerical study of size-structured population models: A case of Gambussia affinis O Angulo, A Durán, JC López-Marcos Comptes Rendus Biologies 328 (4), 387-402, 2005 | 17 | 2005 |
| Peregrine’s system revisited A Durán, D Dutykh, D Mitsotakis Nonlinear Waves and Pattern Dynamics, 3-43, 2018 | 16 | 2018 |
| An efficient method to compute solitary wave solutions of fractional Korteweg–de Vries equations A Durán International Journal of Computer Mathematics 95 (6-7), 1362-1374, 2018 | 15 | 2018 |
| Numerical approximation to Benjamin type equations. Generation and stability of solitary waves VA Dougalis, A Duran, D Mitsotakis Wave Motion 85, 34-56, 2019 | 13 | 2019 |
| Cross-diffusion systems for image processing: II. The nonlinear case A Araújo, S Barbeiro, E Cuesta, A Durán Journal of Mathematical Imaging and Vision 58, 427-446, 2017 | 11 | 2017 |
| Cross-diffusion systems for image processing: I. The linear case A Araújo, S Barbeiro, E Cuesta, A Durán Journal of Mathematical Imaging and Vision 58, 447-467, 2017 | 10 | 2017 |
| On the multi-symplectic structure of Boussinesq-type systems. I: Derivation and mathematical properties A Durán, D Dutykh, D Mitsotakis Physica D: Nonlinear Phenomena 388, 10-21, 2019 | 9 | 2019 |
