activity
20182020
most citedA numerical method for Hadamard finite-part integrals with an integral power singularity at an endpoint

2 citations · 5 across the 9 of their papers we have counts for

collaborators

9 papers

math.NA2020★ 1 cited

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…

math.NA2020

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…

math.NA2019

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…

math.NA2019

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…

math.NA2019★ 1 cited

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…

math.NA2019★ 2 cited

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…

math.NA2019

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…

math.NA2019

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…

math.NA2018★ 1 cited

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…