3 papers
math.CA2022
Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs. I -- Method and Justification
Taisei Asai, Hisatoshi Kodani, Kaname Matsue +2
In this paper, we provide a systematic methodology for calculating multi-order asymptotic expansion of blow-up solutions near blow-up for autonomous ordinary differential equations…
math.NA2020
A posteriori verification of the positivity of solutions to elliptic boundary value problems
Kazuaki Tanaka, Taisei Asai
The purpose of this paper is to develop a unified a posteriori method for verifying the positivity of solutions of elliptic boundary value problems by assuming neither -regula…
math.NA2020
Numerical verification for asymmetric solutions of the Hénon equation on bounded domains
Taisei Asai, Kazuaki Tanaka, Shin'ichi Oishi
The Hénon equation, a generalized form of the Emden equation, admits symmetry-breaking bifurcation for a certain ratio of the transverse velocity to the radial velocity. Therefore,…