2 citations · 5 across the 9 of their papers we have counts for
9 papers
Method of fundamental solutions for the problem of doubly-periodic potential flow
Hidenori Ogata
In this paper, we propose a method of fundamental solutions for the problem of two-dimensional potential flow in a doubly-periodic domain. The solution involves a doubly-periodic f…
A method of fundamental solutions for doubly-periodic potential flow problems using the Weierstrass elliptic function
Hidenori Ogata
In this paper, we propose a method of fundamental solutions for the problems of two-dimensional potential flow past a doubly-periodic array of obstacles. The solutions of these pro…
Numerical method of computing Hadamard finite-part integrals with a non-integral power singularity at the endpoint over a half infinite interval
Hidenori Ogata
In this paper, we propose a numerical method of computing an Hadamard finite-part integral, a finite value assigned to a divergent integral, with a non-integral power singularity a…
A numerical method of computing Hadamard finite-part integrals with an integral power singularity at the endpoint on a half infinite interval
Hidenori Ogata
In this paper, we propose a numerical method of computing Hadamard finite-part integrals with an integral power singularity at the endpoint on a half infinite interval, that is, a…
Numerical method for computing Hadamard finite-part integrals with a non-integral power singularity at an endpoint
Hidenori Ogata
In this paper, we propose a numerical method of computing a Hadamard finite-part integral with a non-integral power singularity at an endpoint, that is, a finite part of a divergen…
A numerical method for Hadamard finite-part integrals with an integral power singularity at an endpoint
Hidenori Ogata
In this paper, we propose a numerical method for computing Hadamard finite-part integrals with an integral-power singularity at an endpoint, the part of the divergent integral whic…
A numerical method of computing oscillatory integral related to hyperfunction theory
Hidenori Ogata
In this paper, we propose a numerical method of computing an integral whose integrand is a slowly decaying oscillatory function. In the proposed method, we consider a complex analy…
An analog of the Sinc approximation for periodic functions
Hidenori Ogata
In this paper, we propose an interpolation formula for periodic functions. This formula can be regarded as an analog of the Sinc approximation, which is an interpolation formula fo…
A numerical method of Fourier transform based on hyperfunction theory
Hidenori Ogata
In this paper, we propose a numerical method of Fourier transform based on hyperfunction theory. In the proposed method, we compute analytic functions called the defining functions…