Study on cubature formulas, Hilbert identities, optimal experimental designs

2017 Fiscal Year Final Research Report

• Project/Area Number: 26870259
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Algebra; Foundations of mathematics/Applied mathematics
• Research Institution: Kobe University
• Principal Investigator: Masanori Sawa 神戸大学, システム情報学研究科, 准教授 (50508182)
• Project Period (FY): 2014-04-01 – 2018-03-31
• Keywords: Cubature / ユークリッドデザイン / 最適デザイン / 直交多項式の零点 / 再生核

Outline of Final Research Achievements

I studied existence, constructions, classifications of various types of designs such as combinatorial designs in combinatorics, Euclidean designs in numerical analysis, optimal designs in design of experiments. The results were presented at many conferences/academic seminars and finally published high-quality journals in pure and applied mathematics and statistics including Journal of the Mathematical Society of Japan, Journal of Combinatorial Theory Series B, and Indian Journal of Statistics.

Free Research Field

代数的組合せ論、実験計画法