| Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Research Abstract |
We have realized a high-accurate numerical computations for numerically unstable problems which arize in inverse or ill-posed problems. Our method consists of multiple-precision arithmetic, regularization scheme, and high-accurate discretization rules based on the theory of reproducing kernels. We also make examples where numerical solutions diverge under stable schemes due to accumulation of rounding errors. This means that theoretical stability of numerical schemes does not equivalent to the reliability of numerical solutions.
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