| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
|
|---|
| Outline of Final Research Achievements |
We consider a novel type of cubature formulas called operator-type cubature formulas. We give a lower bound for the number of points needed, and discuss analytic conditions for equality, together with tight illustrations for Laplacian-type cubature.
On the other hand, we also consider constructing classical cubature problems of higher degree cases. We provides a systematic treatment of a group-theoretic approach for constructing classical cubature formulas and designs. Moreover, we give a method of reconstruction of formulas via combinatorial designs.
|
