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ORCIDBernard Deconinck
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Journal Articles
- 2023
[j20]Matthew Farkas, Bernard Deconinck
:
Solving the heat equation with variable thermal conductivity. Appl. Math. Lett. 135: 108395 (2023)- 2021
- [j19]Wen-Rong Sun, Bernard Deconinck:
Stability of Elliptic Solutions to the sinh-Gordon Equation. J. Nonlinear Sci. 31(3): 63 (2021) - [j18]Ryan Creedon, Bernard Deconinck, Olga Trichtchenko:
High-Frequency Instabilities of the Kawahara Equation: A Perturbative Approach. SIAM J. Appl. Dyn. Syst. 20(3): 1571-1595 (2021) - 2020
- [j17]Bernard Deconinck, Jeremy Upsal:
The Orbital Stability of Elliptic Solutions of the Focusing Nonlinear Schrödinger Equation. SIAM J. Math. Anal. 52(1): 1-41 (2020) - 2019
- [j16]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): 3145-3169 (2019) - 2018
- [j15]Olga Trichtchenko, Bernard Deconinck, Richard Kollár:
Stability of Periodic Traveling Wave Solutions to the Kawahara Equation. SIAM J. Appl. Dyn. Syst. 17(4): 2761-2783 (2018) - 2016
- [j14]Christopher Swierczewski, Bernard Deconinck:
Computing Riemann theta functions in Sage with applications. Math. Comput. Simul. 127: 263-272 (2016) - 2014
- [j13]Natalie E. Sheils, Bernard Deconinck:
Heat conduction on the ring: Interface problems with periodic boundary conditions. Appl. Math. Lett. 37: 107-111 (2014) - [j12]Bernard Deconinck, Thomas Trogdon, Vishal Vasan:
The Method of Fokas for Solving Linear Partial Differential Equations. SIAM Rev. 56(1): 159-186 (2014) - 2013
- [j11]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): 5-9 (2013) - [j10]Vishal Vasan, Bernard Deconinck:
The Bernoulli boundary condition for traveling water waves. Appl. Math. Lett. 26(4): 515-519 (2013) - 2012
- [j9]Katie L. Oliveras, Vishal Vasan, Bernard Deconinck, Diane Henderson:
Recovering the Water-Wave Profile from Pressure Measurements. SIAM J. Appl. Math. 72(3): 897-918 (2012) - 2010
- [j8]Christopher W. Curtis, Bernard Deconinck:
On the convergence of Hill's method. Math. Comput. 79(269): 169-187 (2010) - [j7]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): 999-1018 (2010) - 2009
- [j6]Bernard Deconinck, Michael Nivala:
Symbolic integration using homotopy methods. Math. Comput. Simul. 80(4): 825-836 (2009) - 2007
- [j5]Willy Hereman, Bernard Deconinck, L. D. Poole:
Continuous and discrete homotopy operators: A theoretical approach made concrete. Math. Comput. Simul. 74(4-5): 352-360 (2007) - [j4]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): 370-378 (2007) - 2006
- [j3]Bernard Deconinck, J. Nathan Kutz:
Computing spectra of linear operators using the Floquet-Fourier-Hill method. J. Comput. Phys. 219(1): 296-321 (2006) - 2004
- [j2]Bernard Deconinck, Matthias Heil, Alexander I. Bobenko, Mark van Hoeij, Markus Schmies:
Computing Riemann theta functions. Math. Comput. 73(247): 1417-1442 (2004) - 2002
- [j1]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): 169-205 (2002)
Parts in Books or Collections
- 2010
- [p1]Bernard Deconinck:
Multidimensional theta functions. NIST Handbook of Mathematical Functions 2010: 537-548
Informal and Other Publications
- 2021
- [i4]Jorge Cisneros, Bernard Deconinck:
The numerical solutions of linear semi-discrete evolution problems on the half-line using the Unified Transform Method. CoRR abs/2103.12163 (2021) - [i3]Xin Yang, Bernard Deconinck, Thomas Trogdon:
The Numerical Unified Transform Method for the Nonlinear Schrödinger equation on the half-line. CoRR abs/2106.13713 (2021) - [i2]Jorge Cisneros, Bernard Deconinck:
The numerical solution of semidiscrete linear evolution problems on the finite interval using the Unified Transform Method. CoRR abs/2112.01631 (2021) - 2020
- [i1]Bernard Deconinck, Thomas Trogdon, Xin Yang:
The Numerical Unified Transform Method for Initial-boundary Value Problems on the Half-line. CoRR abs/2006.06024 (2020)
Coauthor Index
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