Jan Bouwe van den Berg

Orcid: 0000-0003-3503-7535

According to our database1, Jan Bouwe van den Berg authored at least 18 papers between 2001 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Validated integration of semilinear parabolic PDEs.
Numerische Mathematik, August, 2024

2023
Computer assisted proofs in dynamical systems.
Commun. Nonlinear Sci. Numer. Simul., April, 2023

2022
Rigorous validation of a Hopf bifurcation in the Kuramoto-Sivashinsky PDE.
Commun. Nonlinear Sci. Numer. Simul., 2022

2021
Rigorous Verification of Hopf Bifurcations via Desingularization and Continuation.
SIAM J. Appl. Dyn. Syst., 2021

Spontaneous Periodic Orbits in the Navier-Stokes Flow.
J. Nonlinear Sci., 2021

2019
Rigorously Computing Symmetric Stationary States of the Ohta-Kawasaki Problem in Three Dimensions.
SIAM J. Math. Anal., 2019

2018
A Floer Homology Approach to Traveling Waves in Reaction-Diffusion Equations on Cylinders.
SIAM J. Appl. Dyn. Syst., 2018

2016
Computing (Un)stable Manifolds with Validated Error Bounds: Non-resonant and Resonant Spectra.
J. Nonlinear Sci., 2016

2015
Rigorous Computation of a Radially Symmetric Localized Solution in a Ginzburg-Landau Problem.
SIAM J. Appl. Dyn. Syst., 2015

Stationary Coexistence of Hexagons and Rolls via Rigorous Computations.
SIAM J. Appl. Dyn. Syst., 2015

2011
Rigorous Numerics for Symmetric Connecting Orbits: Even Homoclinics of the Gray-Scott Equation.
SIAM J. Math. Anal., 2011

The Order of Bifurcation Points in Fourth Order Conservative Systems via Braids.
SIAM J. Appl. Dyn. Syst., 2011

2010
Global smooth solution curves using rigorous branch following.
Math. Comput., 2010

2008
Chaotic Braided Solutions via Rigorous Numerics: Chaos in the Swift-Hohenberg Equation.
SIAM J. Appl. Dyn. Syst., 2008

2006
Flame Balls for a Free Boundary Combustion Model with Radiative Transfer.
SIAM J. Appl. Math., 2006

2005
The Speed Law for Highly Radiative Flames in a Gaseous Mixture with Large Activation Energy.
SIAM J. Appl. Math., 2005

2003
Formal Asymptotics of Bubbling in the Harmonic Map Heat Flow.
SIAM J. Appl. Math., 2003

2001
Travelling Waves for Fourth Order Parabolic Equations.
SIAM J. Math. Anal., 2001


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