Tomoaki Okayama

Associate professor

Hiroshima Daigaku

Japan

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Dr. Tomoaki Okayama is an Associate Professor at Hiroshima Shiritsu Daigaku, Japan. His research focuses on numerical methods in integral equations, particularly the Sinc-collocation methods and their error analyses, as well as theoretical advancements in numerical integration techniques. Recent articles include improvements to Sinc-collocation methods for various types of integral equations and error bounds for formulas dealing with singularities.

Articles (12)

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2026

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2025

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2024

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2024

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2023

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2022

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2021

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2021

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2021

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2021

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2020

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2020

Collaborators (1)

Ken'ichiro Tanaka

Associate Professor

University of Tokyo

JAPAN

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Tomoaki Okayama

Research Interests

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Articles (12)

Improvement of Sinc-collocation methods for Volterra-Fredholm integral equations of the second kind and their theoretical analysis

Explicit error bounds of the SE and DE formulas for integrals with logarithmic and algebraic singularity

Improvement of selection formulas of mesh size and truncation numbers for the DE-Sinc approximation and its theoretical error bound

Error analyses of Sinc-collocation methods for exponential decay initial value problems

Sinc-collocation methods with consistent collocation points for Fredholm integral equations of the second kind

Yet another DE-Sinc indefinite integration formula

A modified Stenger's quadrature formula for infinite integrals of unilateral rapidly decreasing functions and its theoretical error bound

A modified Stenger's quadrature formula for infinite integrals of unilateral rapidly decreasing functions and its theoretical error bounder

New conformal map for the trapezoidal formula for infinite integrals of unilateral rapidly decreasing functions

New conformal map for the trapezoidal formula for infinite integrals of unilateral rapidly decreasing functions

New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval

New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval

Collaborators (1)

Ken'ichiro Tanaka

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