Akitoshi Takayasu Jean-Philippe Lessard Jonathan Jaquette Hisashi Okamoto
Numerische Mathematik 151(3) 693-750 May 2022 [Refereed]
Abstract
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. The proof is constructive and provides explicit bounds for the inclusion o...
Sovanna Mean Koichi Unami Hisashi Okamoto Masayuki Fujihara
Applied Mathematics and Computation 415 126730-126730 Feb 2022 [Refereed]
Determining water surface profiles of steady open channel flows in a one-dimensional bounded domain is one of the well-trodden topics in conventional hydraulic engineering. However, it involves Dirichlet problems of scalar first-order quasilinear ...
Japan Journal of Industrial and Applied Mathematics 38(1) 79-103 Feb 2021 [Refereed]
Abstract
Stationary waves of constant shape and constant propagation speed on rotational flows of two layers are computed numerically. Two layers are assumed to be of distinct constant vorticity distributions. Three different kinds of waves of fi...
We consider two-dimensional progressive water-waves, which propagate with a constant speed and a constant shape. Fluid motion is assumed to be irrotational. Trajectories in a coordinate system attached to the wave are easily computed by drawing co...
Graduate School of Humanities