61 citations · 190 across the 32 of their papers we have counts for
4 papers · 2 filters
Modified Strang splitting for semilinear parabolic problems
Kosuke Nakano, Tomoya Kemmochi, Yuto Miyatake +2
We consider applying the Strang splitting to semilinear parabolic problems. The key ingredients of the Strang splitting are the decomposition of the equation into several parts and…
Relation between the T-congruence Sylvester equation and the generalized Sylvester equation
Yuki Satake, Masaya Oozawa, Tomohiro Sogabe +3
The T-congruence Sylvester equation is the matrix equation , where , , and $C\in\mathbb{R}^{m\times m}…
A structure-preserving Fourier pseudo-spectral linearly implicit scheme for the space-fractional nonlinear Schrödinger equation
Yuto Miyatake, Tai Nakagawa, Tomohiro Sogabe +1
We propose a Fourier pseudo-spectral scheme for the space-fractional nonlinear Schrödinger equation. The proposed scheme has the following features: it is linearly implicit, it pre…
Algorithms for the computation of the matrix logarithm based on the double exponential formula
Fuminori Tatsuoka, Tomohiro Sogabe, Yuto Miyatake +1
We consider the computation of the matrix logarithm by using numerical quadrature. The efficiency of numerical quadrature depends on the integrand and the choice of quadrature form…