Dynamics and Stability of Bose-Einstein Condensates: The Nonlinear Schrödinger Equation with Periodic Potential. - Bernard Deconinck; Bela A. Frigyik; J. Nathan Kutz (J. Nonlinear Sci., 2002)

Computing Riemann theta functions. - Bernard Deconinck; Matthias Heil; Alexander I. Bobenko; Mark van Hoeij; Markus Schmies (Math. Comput., 2004)

Computing spectra of linear operators using the Floquet-Fourier-Hill method. - Bernard Deconinck; J. Nathan Kutz (J. Comput. Phys., 2006)

SpectrUW: A laboratory for the numerical exploration of spectra of linear operators. - Bernard Deconinck; Firat Kiyak; John D. Carter; J. Nathan Kutz (Math. Comput. Simul., 2007)

Continuous and discrete homotopy operators: A theoretical approach made concrete. - Willy Hereman; Bernard Deconinck; L. D. Poole (Math. Comput. Simul., 2007)

Symbolic integration using homotopy methods. - Bernard Deconinck; Michael Nivala (Math. Comput. Simul., 2009)

Multidimensional theta functions. - Bernard Deconinck (NIST Handbook of Mathematical Functions, 2010)

On the convergence of Hill's method. - Christopher W. Curtis; Bernard Deconinck (Math. Comput., 2010)

Spectral Stability of Stationary Solutions of a Boussinesq System Describing Long Waves in Dispersive Media. - Min Chen 019; Christopher W. Curtis; Bernard Deconinck; Crystal W. Lee; Nghiem Nguyen (SIAM J. Appl. Dyn. Syst., 2010)

Recovering the Water-Wave Profile from Pressure Measurements. - Katie L. Oliveras; Vishal Vasan; Bernard Deconinck; Diane Henderson (SIAM J. Appl. Math., 2012)

Numerical computation of the finite-genus solutions of the Korteweg-de Vries equation via Riemann-Hilbert problems. - Thomas Trogdon; Bernard Deconinck (Appl. Math. Lett., 2013)

The Bernoulli boundary condition for traveling water waves. - Vishal Vasan; Bernard Deconinck (Appl. Math. Lett., 2013)

Heat conduction on the ring: Interface problems with periodic boundary conditions. - Natalie E. Sheils; Bernard Deconinck (Appl. Math. Lett., 2014)

The Method of Fokas for Solving Linear Partial Differential Equations. - Bernard Deconinck; Thomas Trogdon; Vishal Vasan (SIAM Rev., 2014)

Computing Riemann theta functions in Sage with applications. - Christopher Swierczewski; Bernard Deconinck (Math. Comput. Simul., 2016)

Stability of Periodic Traveling Wave Solutions to the Kawahara Equation. - Olga Trichtchenko; Bernard Deconinck; Richard Kollár (SIAM J. Appl. Dyn. Syst., 2018)

Direct Characterization of Spectral Stability of Small-Amplitude Periodic Waves in Scalar Hamiltonian Problems via Dispersion Relation. - Richard Kollár; Bernard Deconinck; Olga Trichtchenko (SIAM J. Math. Anal., 2019)

The Numerical Unified Transform Method for Initial-boundary Value Problems on the Half-line. - Bernard Deconinck; Thomas Trogdon; Xin Yang (CoRR, 2020)

The Orbital Stability of Elliptic Solutions of the Focusing Nonlinear Schrödinger Equation. - Bernard Deconinck; Jeremy Upsal (SIAM J. Math. Anal., 2020)

The numerical solutions of linear semi-discrete evolution problems on the half-line using the Unified Transform Method. - Jorge Cisneros; Bernard Deconinck (CoRR, 2021)

The Numerical Unified Transform Method for the Nonlinear Schrödinger equation on the half-line. - Xin Yang; Bernard Deconinck; Thomas Trogdon (CoRR, 2021)

The numerical solution of semidiscrete linear evolution problems on the finite interval using the Unified Transform Method. - Jorge Cisneros; Bernard Deconinck (CoRR, 2021)

Stability of Elliptic Solutions to the sinh-Gordon Equation. - Wen-Rong Sun; Bernard Deconinck (J. Nonlinear Sci., 2021)

High-Frequency Instabilities of the Kawahara Equation: A Perturbative Approach. - Ryan Creedon; Bernard Deconinck; Olga Trichtchenko (SIAM J. Appl. Dyn. Syst., 2021)

Solving the heat equation with variable thermal conductivity. - Matthew Farkas; Bernard Deconinck (Appl. Math. Lett., 2023)