65 citations · 140 across the 28 of their papers we have counts for
7 papers · 1 filter
A fully discrete curve-shortening polygonal evolution law for moving boundary problems
Koya Sakakibara, Yuto Miyatake
We consider the numerical integration of moving boundary problems with the curve-shortening property, such as the mean curvature flow and Hele-Shaw flow. We propose a fully discret…
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…
Adjoint-based exact Hessian computation
Shin-ichi Ito, Takeru Matsuda, Yuto Miyatake
We consider a scalar function depending on a numerical solution of an initial value problem, and its second-derivative (Hessian) matrix for the initial value. The need to extract t…
Estimation of ordinary differential equation models with discretization error quantification
Takeru Matsuda, Yuto Miyatake
We consider parameter estimation of ordinary differential equation (ODE) models from noisy observations. For this problem, one conventional approach is to fit numerical solutions (…
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…