Bernard Deconinck

Publication Activity (10 Years)

Years Active: 2002-2023
Publications (10 Years): 11

Top Topics

Hamilton Jacobi

Numerical Solution

Image Smoothing

Top Venues

Appl. Math. Lett.

SIAM J. Appl. Dyn. Syst.

SIAM J. Math. Anal.

Publications

Matthew Farkas, Bernard Deconinck
Solving the heat equation with variable thermal conductivity. Appl. Math. Lett. 135 (2023)
Jorge Cisneros, Bernard Deconinck
The numerical solution of semidiscrete linear evolution problems on the finite interval using the Unified Transform Method. CoRR (2021)
Wen-Rong Sun, Bernard Deconinck
Stability of Elliptic Solutions to the sinh-Gordon Equation. J. Nonlinear Sci. 31 (3) (2021)
Jorge Cisneros, Bernard Deconinck
The numerical solutions of linear semi-discrete evolution problems on the half-line using the Unified Transform Method. CoRR (2021)
Ryan Creedon, Bernard Deconinck, Olga Trichtchenko
High-Frequency Instabilities of the Kawahara Equation: A Perturbative Approach. SIAM J. Appl. Dyn. Syst. 20 (3) (2021)
Xin Yang, Bernard Deconinck, Thomas Trogdon
The Numerical Unified Transform Method for the Nonlinear Schrödinger equation on the half-line. CoRR (2021)
Bernard Deconinck, Jeremy Upsal
The Orbital Stability of Elliptic Solutions of the Focusing Nonlinear Schrödinger Equation. SIAM J. Math. Anal. 52 (1) (2020)
Bernard Deconinck, Thomas Trogdon, Xin Yang
The Numerical Unified Transform Method for Initial-boundary Value Problems on the Half-line. CoRR (2020)
Richard Kollár, Bernard Deconinck, Olga Trichtchenko
Direct Characterization of Spectral Stability of Small-Amplitude Periodic Waves in Scalar Hamiltonian Problems via Dispersion Relation. SIAM J. Math. Anal. 51 (4) (2019)
Olga Trichtchenko, Bernard Deconinck, Richard Kollár
Stability of Periodic Traveling Wave Solutions to the Kawahara Equation. SIAM J. Appl. Dyn. Syst. 17 (4) (2018)
Christopher Swierczewski, Bernard Deconinck
Computing Riemann theta functions in Sage with applications. Math. Comput. Simul. 127 (2016)
Natalie E. Sheils, Bernard Deconinck
Heat conduction on the ring: Interface problems with periodic boundary conditions. Appl. Math. Lett. 37 (2014)
Bernard Deconinck, Thomas Trogdon, Vishal Vasan
The Method of Fokas for Solving Linear Partial Differential Equations. SIAM Rev. 56 (1) (2014)
Thomas Trogdon, Bernard Deconinck
Numerical computation of the finite-genus solutions of the Korteweg-de Vries equation via Riemann-Hilbert problems. Appl. Math. Lett. 26 (1) (2013)
Vishal Vasan, Bernard Deconinck
The Bernoulli boundary condition for traveling water waves. Appl. Math. Lett. 26 (4) (2013)
Katie L. Oliveras, Vishal Vasan, Bernard Deconinck, Diane Henderson
Recovering the Water-Wave Profile from Pressure Measurements. SIAM J. Appl. Math. 72 (3) (2012)
Min Chen, Christopher W. Curtis, Bernard Deconinck, Crystal W. Lee, Nghiem Nguyen
Spectral Stability of Stationary Solutions of a Boussinesq System Describing Long Waves in Dispersive Media. SIAM J. Appl. Dyn. Syst. 9 (3) (2010)
Christopher W. Curtis, Bernard Deconinck
On the convergence of Hill's method. Math. Comput. 79 (269) (2010)
Bernard Deconinck, Michael Nivala
Symbolic integration using homotopy methods. Math. Comput. Simul. 80 (4) (2009)
Willy Hereman, Bernard Deconinck, L. D. Poole
Continuous and discrete homotopy operators: A theoretical approach made concrete. Math. Comput. Simul. 74 (4-5) (2007)
Bernard Deconinck, Firat Kiyak, John D. Carter, J. Nathan Kutz
SpectrUW: A laboratory for the numerical exploration of spectra of linear operators. Math. Comput. Simul. 74 (4-5) (2007)
Bernard Deconinck, J. Nathan Kutz
Computing spectra of linear operators using the Floquet-Fourier-Hill method. J. Comput. Phys. 219 (1) (2006)
Bernard Deconinck, Matthias Heil, Alexander I. Bobenko, Mark van Hoeij, Markus Schmies
Computing Riemann theta functions. Math. Comput. 73 (247) (2004)
Bernard Deconinck, Bela A. Frigyik, J. Nathan Kutz
Dynamics and Stability of Bose-Einstein Condensates: The Nonlinear Schrödinger Equation with Periodic Potential. J. Nonlinear Sci. 12 (3) (2002)