2 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.DS2001
Morse theory on spaces of braids and Lagrangian dynamics
R. W. Ghrist, J. B. Van den Berg, R. C. Vandervorst
In the first half of the paper we construct a Morse-type theory on certain spaces of braid diagrams. We define a topological invariant of closed positive braids which is correlated…