3 papers
math.NA2026
A simple rigorous integrator for semilinear parabolic PDEs
Jan Bouwe van den Berg, Maxime Breden
Simulations of the dynamics generated by partial differential equations (PDEs) provide approximate, numerical solutions to initial value problems. Such simulations are ubiquitous i…
math.DS2025
A functional analytic theory for differential equations on Banach spaces with slowly evolving parameters
Dirk Doorakkers, Daniele Avitabile, Jan Bouwe van den Berg
This paper provides a functional analytic approach to differential equations on Banach space with slowly evolving parameters. We develop a Fenichel-like theory for attracting subse…
math.AP2025
Periodic localized traveling waves in the two-dimensional suspension bridge equation
Lindsey van der Aalst, Jan Bouwe van den Berg, Jean-Philippe Lessard
In the dynamics generated by the suspension bridge equation, traveling waves are an essential feature. The existing literature focuses primarily on the idealized one-dimensional ca…