Variational Mesh Adaptation Methods for Axisymmetrical Problems. - Weiming Cao; Ricardo Carretero-González; Weizhang Huang; Robert D. Russell (SIAM J. Numer. Anal., 2003)

Domain walls of single-component Bose-Einstein condensates in external potentials. - Panayotis G. Kevrekidis; Boris A. Malomed; Dimitri J. Frantzeskakis; Alan R. Bishop; Hector E. Nistazakis; Ricardo Carretero-González (Math. Comput. Simul., 2005)

Dark soliton dynamics in spatially inhomogeneous media: Application to Bose-Einstein condensates. - G. Theocharis; Dimitri J. Frantzeskakis; Panayotis G. Kevrekidis; Ricardo Carretero-González; Boris A. Malomed (Math. Comput. Simul., 2005)

Soliton trains and vortex streets as a form of Cerenkov radiation in trapped Bose-Einstein condensates. - Ricardo Carretero-González; Panayotis G. Kevrekidis; Dimitri J. Frantzeskakis; Boris A. Malomed; S. Nandi; Alan R. Bishop (Math. Comput. Simul., 2007)

Extended nonlinear waves in multidimensional dynamical lattices. - Q. E. Hoq; J. Gagnon; Panayotis G. Kevrekidis; Boris A. Malomed; Dimitri J. Frantzeskakis; Ricardo Carretero-González (Math. Comput. Simul., 2009)

Numerical Stability of Explicit Runge-Kutta Finite Difference Schemes for the Nonlinear Schrödinger Equation - Ronald M. Caplan; Ricardo Carretero-González (CoRR, 2011)

A Modulus-Squared Dirichlet Boundary Condition for Time-Dependent Complex Partial Differential Equations and its Application to the Nonlinear Schödinger Equation. - Ronald M. Caplan; Ricardo Carretero-González (CoRR, 2011)

Existence, stability, and scattering of bright vortices in the cubic-quintic nonlinear Schrödinger equation. - Ronald M. Caplan; Ricardo Carretero-González; Panayotis G. Kevrekidis; Boris A. Malomed (Math. Comput. Simul., 2012)

A two-step high-order compact scheme for the Laplacian operator and its implementation in an explicit method for integrating the nonlinear Schrödinger equation. - Ronald M. Caplan; Ricardo Carretero-González (J. Comput. Appl. Math., 2013)

A Modulus-Squared Dirichlet Boundary Condition for Time-Dependent Complex Partial Differential Equations and Its Application to the Nonlinear Schrödinger Equation. - Ronald M. Caplan; Ricardo Carretero-González (SIAM J. Sci. Comput., 2014)

The Defocusing Nonlinear Schrödinger Equation - From Dark Solitons to Vortices and Vortex Rings. - Panayotis G. Kevrekidis; Dimitri J. Frantzeskakis; Ricardo Carretero-González (SIAM, 2015)

Proper orthogonal decomposition methods for the analysis of real-time data: Exploring peak clustering in a secondhand smoke exposure intervention. - Vincent J. Berardi; Ricardo Carretero-González; N. E. Klepeis; Antonio Palacios; John Bellettiere; Suzanne Hughes; S. Obayashi; Melbourne Hovell (J. Comput. Sci., 2015)

Dynamics of Vortex Dipoles in Anisotropic Bose-Einstein Condensates. - Roy H. Goodman; P. G. Kevrekidis; Ricardo Carretero-González (SIAM J. Appl. Dyn. Syst., 2015)

Optoelectronic Chaos in a Simple Light Activated Feedback Circuit. - Kevin L. Joiner; Faustino Palmero; Ricardo Carretero-González (Int. J. Bifurc. Chaos, 2016)

Weakly Nonlinear Analysis of Vortex Formation in a Dissipative Variant of the Gross-Pitaevskii Equation. - J. C. Tzou; Panayotis G. Kevrekidis; Theodore Kolokolnikov; Ricardo Carretero-González (SIAM J. Appl. Dyn. Syst., 2016)

A Markov approach for increasing precision in the assessment of data-intensive behavioral interventions. - Vincent J. Berardi; Ricardo Carretero-González; John Bellettiere; Marc A. Adams; Suzanne Hughes; Melbourne Hovell (J. Biomed. Informatics, 2018)

Dynamics and stabilization of bright soliton stripes in the hyperbolic-dispersion nonlinear Schrödinger equation. - L. A. Cisneros-Ake; Ricardo Carretero-González; Panayotis G. Kevrekidis; Boris A. Malomed (Commun. Nonlinear Sci. Numer. Simul., 2019)

Breather stripes and radial breathers of the two-dimensional sine-Gordon equation. - Panayotis G. Kevrekidis; Ricardo Carretero-González; Jesús Cuevas-Maraver; Dimitri J. Frantzeskakis; Jean-Guy Caputo; Boris A. Malomed (Commun. Nonlinear Sci. Numer. Simul., 2021)

Kink-antikink stripe interactions in the two-dimensional sine-Gordon equation. - Ricardo Carretero-González; L. A. Cisneros-Ake; R. Decker; G. N. Koutsokostas; Dimitri J. Frantzeskakis; P. G. Kevrekidis; Daniel J. Ratliff (Commun. Nonlinear Sci. Numer. Simul., 2022)