Jan Bouwe van den Berg

24 papers Journal 24
YearRankTypeTitle / Venue / Authors
2026 J jnl
A simple rigorous integrator for semilinear parabolic PDEs.
CoRR
Jan Bouwe van den Berg, Maxime Breden
2025 J jnl
From heteroclinic loops to homoclinic snaking in reversible systems: rigorous forcing through computer-assisted proofs.
CoRR
Jan Bouwe van den Berg, Gabriel William Duchesne, Jean-Philippe Lessard
2024 J jnl
Toward Computational Morse-Floer Homology: Forcing Results for Connecting Orbits by Computing Relative Indices of Critical Points.
Found. Comput. Math.
Jan Bouwe van den Berg, Marcio Gameiro, Jean-Philippe Lessard, Rob Van der Vorst
2024 J jnl
Validated integration of semilinear parabolic PDEs.
Numerische Mathematik
Jan Bouwe van den Berg, Maxime Breden, Ray Sheombarsing
2023 J jnl
Computer assisted proofs in dynamical systems.
Commun. Nonlinear Sci. Numer. Simul.
Maciej J. Capinski, Jason D. Mireles-James, Warwick Tucker, Daniel Wilczak, Jan Bouwe van den Berg
2023 J jnl
Validated integration of semilinear parabolic PDEs.
CoRR
Jan Bouwe van den Berg, Maxime Breden, Ray Sheombarsing
2022 J jnl
Rigorous validation of a Hopf bifurcation in the Kuramoto-Sivashinsky PDE.
Commun. Nonlinear Sci. Numer. Simul.
Jan Bouwe van den Berg, Elena Queirolo
2021 J jnl
Rigorous Verification of Hopf Bifurcations via Desingularization and Continuation.
SIAM J. Appl. Dyn. Syst.
Jan Bouwe van den Berg, Jean-Philippe Lessard, Elena Queirolo
2021 J jnl
Spontaneous Periodic Orbits in the Navier-Stokes Flow.
J. Nonlinear Sci.
Jan Bouwe van den Berg, Maxime Breden, Jean-Philippe Lessard, Lennaert van Veen
2020 J jnl
Rigorous validation of a Hopf bifurcation in the Kuramoto-Sivashinsky PDE.
CoRR
Jan Bouwe van den Berg, Elena Queirolo
2020 J jnl
Rigorous verification of Hopf bifurcations via desingularization and continuation.
CoRR
Jan Bouwe van den Berg, Jean-Philippe Lessard, Elena Queirolo
2019 J jnl
Rigorously Computing Symmetric Stationary States of the Ohta-Kawasaki Problem in Three Dimensions.
SIAM J. Math. Anal.
Jan Bouwe van den Berg, J. F. Williams
2018 J jnl
A Floer Homology Approach to Traveling Waves in Reaction-Diffusion Equations on Cylinders.
SIAM J. Appl. Dyn. Syst.
Bente Bakker, Jan Bouwe van den Berg, Robert C. A. M. Vandervorst
2016 J jnl
Computing (Un)stable Manifolds with Validated Error Bounds: Non-resonant and Resonant Spectra.
J. Nonlinear Sci.
Jan Bouwe van den Berg, Jason D. Mireles-James, Christian Reinhardt
2015 J jnl
Rigorous Computation of a Radially Symmetric Localized Solution in a Ginzburg-Landau Problem.
SIAM J. Appl. Dyn. Syst.
Jan Bouwe van den Berg, Chris M. Groothedde, J. F. Williams
2015 J jnl
Stationary Coexistence of Hexagons and Rolls via Rigorous Computations.
SIAM J. Appl. Dyn. Syst.
Jan Bouwe van den Berg, Andréa Deschênes, Jean-Philippe Lessard, Jason D. Mireles-James
2011 J jnl
Rigorous Numerics for Symmetric Connecting Orbits: Even Homoclinics of the Gray-Scott Equation.
SIAM J. Math. Anal.
Jan Bouwe van den Berg, Jason D. Mireles-James, Jean-Philippe Lessard, Konstantin Mischaikow
2011 J jnl
The Order of Bifurcation Points in Fourth Order Conservative Systems via Braids.
SIAM J. Appl. Dyn. Syst.
Jan Bouwe van den Berg, Miroslav Kramár, Robert C. A. M. Vandervorst
2010 J jnl
Global smooth solution curves using rigorous branch following.
Math. Comput.
Jan Bouwe van den Berg, Jean-Philippe Lessard, Konstantin Mischaikow
2008 J jnl
Chaotic Braided Solutions via Rigorous Numerics: Chaos in the Swift-Hohenberg Equation.
SIAM J. Appl. Dyn. Syst.
Jan Bouwe van den Berg, Jean-Philippe Lessard
2006 J jnl
Flame Balls for a Free Boundary Combustion Model with Radiative Transfer.
SIAM J. Appl. Math.
Jan Bouwe van den Berg, Vincent Guyonne, Josephus Hulshof
2005 J jnl
The Speed Law for Highly Radiative Flames in a Gaseous Mixture with Large Activation Energy.
SIAM J. Appl. Math.
Jan Bouwe van den Berg, Claude-Michel Brauner, Josephus Hulshof, Alessandra Lunardi
2003 J jnl
Formal Asymptotics of Bubbling in the Harmonic Map Heat Flow.
SIAM J. Appl. Math.
Jan Bouwe van den Berg, John R. King, Josephus Hulshof
2001 J jnl
Travelling Waves for Fourth Order Parabolic Equations.
SIAM J. Math. Anal.
Jan Bouwe van den Berg, Josephus Hulshof, Robertus C. Vandervorst