| Budget Amount *help |
¥14,690,000 (Direct Cost: ¥11,300,000、Indirect Cost: ¥3,390,000)
Fiscal Year 2017: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2016: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2015: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
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| Outline of Final Research Achievements |
We have studied the discrete function analysis and the discrete variational theory. We proposed the concept of the discrete transformation matrix in the space defined via difference operators based on discrete calculus between differential operators and integral ones and evaluated those mathematically.Based on these results, we proved some discrete differential-integral inequalities in general and studied mathematical conditions to satisfy them.We have deepened the understanding of mathematical constraints by discussing the proof technique and gained a rigorous suggestion that this argument holds in wider function spaces.
We also promoted research to extend the discrete definitions of key concepts used in discrete variational theory.As a result, the discrete variational theory concept was extended based on the discrete version of the basic relational expression such as the Green theory, and the further mathematical basis of the difference method was defined.
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