FACULTY OF SCIENCE AND ENGINEERING, GRADUATE SCHOOL OF ENGINEERING, IWATE UNIVERSITY
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MIYAJIMA Shinya

Professor

Affiliation

Mathematical Science and Physics
[Master's Program] Mathematical Science and Physics
[Doctoral Program] Fundamental and Applied Sciences

Degrees Obtained

Doctorate (Information Science)

Specialties

Matrix Analysis
Numerical Analysis
Numerical Computation

Profile

March 2005: Completed Information Science Doctoral Program, Faculty of Science and Engineering, Waseda University Graduate School
April 1 2003 - March 31, 2006: Assistant, Department of Information Science, Faculty of Science and Engineering, Waseda University
April 1 2006 - 31 August 2007: Visiting Lecturer (full-time), Advance Research Institute for Science and Engineering, Waseda University
1 September 2007 - March 31, 2013: Associate Professor, Department of Mathematical and Design Engineering, Faculty of Engineering, Gifu University
April 1 2013 - March 31, 2016: Associate Professor (through reorganization), Department of Electrical, Electronic and Computer Engineering, Faculty of Engineering, Gifu University
April 1 2016 - Present: Professor, Department of Physical & Material Science and Engineering, Faculty of Science and Engineering, Iwate University

My Areas of Research

Numerical verification of solutions to matrix problems

Numerical calculations performed using calculators are not done accurately. The results of the four basic arithmetic operations are sometimes approximated to a certain decimal place, meaning that infinite operations, including limits, are all approximated to finite operations. In order to obtain correct conclusions from calculation results, error assessments in the results must be carried out to determine the range in which the exact solution lies. Numerical verification is a method for doing this with a calculator. I am interested mainly in research of the establishment of new numerical verification methods for solutions to matrix problems.

My Teaching Philosophy

I educate students to challenge themselves to solve problems with unknown solutions in the aim of maturing their fundamental knowledge of mathematics until it is in a “usable state.”

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