1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.NA2023★ 1 cited
Validated integration of semilinear parabolic PDEs
Jan Bouwe van den Berg, Maxime Breden, Ray Sheombarsing
Integrating evolutionary partial differential equations (PDEs) is an essential ingredient for studying the dynamics of the solutions. Indeed, simulations are at the core of scienti…
math.DS2019
Validated computations for connecting orbits in polynomial vector fields
Jan Bouwe van den Berg, Ray Sheombarsing
In this paper we present a computer-assisted procedure for proving the existence of transverse heteroclinic orbits connecting hyperbolic equilibria of polynomial vector fields. The…