| Budget Amount *help |
¥17,160,000 (Direct Cost: ¥13,200,000、Indirect Cost: ¥3,960,000)
Fiscal Year 2020: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2019: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2018: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2017: ¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
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| Outline of Final Research Achievements |
In this research plan, we aimed at the development of a new structure-preserving numerical methods incorporating with model reduction techniques. As results, we have verified the effectiveness of some symplectic model reduction techniques, and obtained a new structure-preserving method for dissipative systems with model reduction mechanism, as desired. In addition to that, in search of such new methods, we have obtained several new fundamental tools including a new structure-preserving method based on Poisson and Nambu brackets, and a rigorous theoretical analysis for dynamical mode decompositions.
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