419 citations · 448 across the 27 of their papers we have counts for
6 papers · 1 filter
Rigorous numerics of finite-time singularities in dynamical systems - methodology and applications
Kaname Matsue
This paper aims at providing rigorous numerical computation procedure for finite-time singularities in dynamical systems. Combination of time-scale desingularization as well as Lya…
Toward a mathematical analysis for a model of suspension flowing down an inclined plane
Kaname Matsue, Kyoko Tomoeda
We consider the Riemann problem of the dilute approximation equations with spatiotemporally dependent volume fractions from the full model of suspension, in which the particles set…
Resonant-tunneling in discrete-time quantum walk
Kaname Matsue, Leo Matsuoka, Osamu Ogurisu +1
We show that discrete-time quantum walks on the line, , behave as "the quantum tunneling". In particular, quantum walkers can tunnel through a double-well with the tran…
Numerical validation of blow-up solutions with quasi-homogeneous compactifications
Kaname Matsue, Akitoshi Takayasu
We provide a numerical validation method of blow-up solutions for finite dimensional vector fields admitting asymptotic quasi-homogeneity at infinity. Our methodology is based on q…
Quantum Search on Simplicial Complexes
Kaname Matsue, Osamu Ogurisu, Etsuo Segawa
In this paper, we propose an extension of quantum searches on graphs driven by quantum walks to simplicial complexes. To this end, we newly define a quantum walk on simplicial comp…
Quaternionic quantum walks of Szegedy type and zeta functions of graphs
Norio Konno, Kaname Matsue, Hideo Mitsuhashi +1
We define a quaternionic extension of the Szegedy walk on a graph and study its right spectral properties. The condition for the transition matrix of the quaternionic Szegedy walk…