| Budget Amount *help |
¥15,080,000 (Direct Cost: ¥11,600,000、Indirect Cost: ¥3,480,000)
Fiscal Year 2014: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2013: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2011: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
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| Outline of Final Research Achievements |
By applying the theory of discrete integrable systems, studies on good discretization of geometric objects such as curves and surfaces have been carried out. The main results are as follows: (1) Discrete curve theory. Development of deformation theory of plane and space discrete curves and construction of explicit formula in terms of the tau functions. (2) Theory of discrete analytic functions. Construction of explicit formula for the discrete power function in terms of hypergetomtric tau function of the Painleve VI equation and generalization. (3) As an application, systematic construction of stable and highly accurate numerical scheme for nonlinear wave phenomena in terms of self-adaptive moving mesh scheme based on discretization of the Euler-Lagrange transformation.
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