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ORCIDJan Bouwe van den Berg
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Journal Articles
- 2024
[j18]Jan Bouwe van den Berg
, Maxime Breden, Ray Sheombarsing:
Validated integration of semilinear parabolic PDEs. Numerische Mathematik 156(4): 1219-1287 (2024)- 2023
- [j17]Maciej J. Capinski, Jason D. Mireles-James, Warwick Tucker, Daniel Wilczak, Jan Bouwe van den Berg:
Computer assisted proofs in dynamical systems. Commun. Nonlinear Sci. Numer. Simul. 118: 106998 (2023) - 2022
- [j16]Jan Bouwe van den Berg, Elena Queirolo:
Rigorous validation of a Hopf bifurcation in the Kuramoto-Sivashinsky PDE. Commun. Nonlinear Sci. Numer. Simul. 108: 106133 (2022) - 2021
- [j15]Jan Bouwe van den Berg, Maxime Breden, Jean-Philippe Lessard, Lennaert van Veen:
Spontaneous Periodic Orbits in the Navier-Stokes Flow. J. Nonlinear Sci. 31(2): 41 (2021) - [j14]Jan Bouwe van den Berg, Jean-Philippe Lessard, Elena Queirolo:
Rigorous Verification of Hopf Bifurcations via Desingularization and Continuation. SIAM J. Appl. Dyn. Syst. 20(2): 573-607 (2021) - 2019
- [j13]Jan Bouwe van den Berg, J. F. Williams:
Rigorously Computing Symmetric Stationary States of the Ohta-Kawasaki Problem in Three Dimensions. SIAM J. Math. Anal. 51(1): 131-158 (2019) - 2018
- [j12]Bente Bakker, Jan Bouwe van den Berg, Robert C. A. M. Vandervorst:
A Floer Homology Approach to Traveling Waves in Reaction-Diffusion Equations on Cylinders. SIAM J. Appl. Dyn. Syst. 17(4): 2634-2706 (2018) - 2016
- [j11]Jan Bouwe van den Berg, Jason D. Mireles-James, Christian Reinhardt:
Computing (Un)stable Manifolds with Validated Error Bounds: Non-resonant and Resonant Spectra. J. Nonlinear Sci. 26(4): 1055-1095 (2016) - 2015
- [j10]Jan Bouwe van den Berg, Chris M. Groothedde, J. F. Williams:
Rigorous Computation of a Radially Symmetric Localized Solution in a Ginzburg-Landau Problem. SIAM J. Appl. Dyn. Syst. 14(1): 423-447 (2015) - [j9]Jan Bouwe van den Berg, Andréa Deschênes, Jean-Philippe Lessard, Jason D. Mireles-James:
Stationary Coexistence of Hexagons and Rolls via Rigorous Computations. SIAM J. Appl. Dyn. Syst. 14(2): 942-979 (2015) - 2011
- [j8]Jan Bouwe van den Berg, Miroslav Kramár, Robert C. A. M. Vandervorst:
The Order of Bifurcation Points in Fourth Order Conservative Systems via Braids. SIAM J. Appl. Dyn. Syst. 10(2): 510-550 (2011) - [j7]Jan Bouwe van den Berg, Jason D. Mireles-James, Jean-Philippe Lessard, Konstantin Mischaikow:
Rigorous Numerics for Symmetric Connecting Orbits: Even Homoclinics of the Gray-Scott Equation. SIAM J. Math. Anal. 43(4): 1557-1594 (2011) - 2010
- [j6]Jan Bouwe van den Berg, Jean-Philippe Lessard, Konstantin Mischaikow:
Global smooth solution curves using rigorous branch following. Math. Comput. 79(271): 1565-1584 (2010) - 2008
- [j5]Jan Bouwe van den Berg, Jean-Philippe Lessard:
Chaotic Braided Solutions via Rigorous Numerics: Chaos in the Swift-Hohenberg Equation. SIAM J. Appl. Dyn. Syst. 7(3): 988-1031 (2008) - 2006
- [j4]Jan Bouwe van den Berg, Vincent Guyonne, Josephus Hulshof:
Flame Balls for a Free Boundary Combustion Model with Radiative Transfer. SIAM J. Appl. Math. 67(1): 116-137 (2006) - 2005
- [j3]Jan Bouwe van den Berg, Claude-Michel Brauner, Josephus Hulshof, Alessandra Lunardi:
The Speed Law for Highly Radiative Flames in a Gaseous Mixture with Large Activation Energy. SIAM J. Appl. Math. 66(2): 408-432 (2005) - 2003
- [j2]Jan Bouwe van den Berg, John R. King, Josephus Hulshof:
Formal Asymptotics of Bubbling in the Harmonic Map Heat Flow. SIAM J. Appl. Math. 63(5): 1682-1717 (2003) - 2001
- [j1]Jan Bouwe van den Berg, Josephus Hulshof, Robertus C. Vandervorst:
Travelling Waves for Fourth Order Parabolic Equations. SIAM J. Math. Anal. 32(6): 1342-1374 (2001)
Informal and Other Publications
- 2023
- [i3]Jan Bouwe van den Berg, Maxime Breden, Ray Sheombarsing:
Validated integration of semilinear parabolic PDEs. CoRR abs/2305.08221 (2023) - 2020
- [i2]Jan Bouwe van den Berg, Jean-Philippe Lessard, Elena Queirolo:
Rigorous verification of Hopf bifurcations via desingularization and continuation. CoRR abs/2006.13373 (2020) - [i1]Jan Bouwe van den Berg, Elena Queirolo:
Rigorous validation of a Hopf bifurcation in the Kuramoto-Sivashinsky PDE. CoRR abs/2009.13597 (2020)
Coauthor Index
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