2 citations · 2 across the 1 of their papers we have counts for
2 papers
math.DS2019★ 2 cited
Rigorous numerics for nonlinear heat equations in the complex plane of time
Akitoshi Takayasu, Jean-Philippe Lessard, Jonathan Jaquette +1
In this paper, we introduce a method for computing rigorous local inclusions of solutions of Cauchy problems for nonlinear heat equations for complex time values. Using a solution…
math.AP2018
Weak periodic solutions and numerical case studies of the Fornberg-Whitham equation
Guenther Hoermann, Hisashi Okamoto
Spatially periodic solutions of the Fornberg-Whitham equation are studied to illustrate the mechanism of wave breaking and the formation of shocks for a large class of initial data…