Budget Amount *help |
¥17,680,000 (Direct Cost: ¥13,600,000、Indirect Cost: ¥4,080,000)
Fiscal Year 2015: ¥5,460,000 (Direct Cost: ¥4,200,000、Indirect Cost: ¥1,260,000)
Fiscal Year 2014: ¥5,590,000 (Direct Cost: ¥4,300,000、Indirect Cost: ¥1,290,000)
Fiscal Year 2013: ¥6,630,000 (Direct Cost: ¥5,100,000、Indirect Cost: ¥1,530,000)
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Outline of Final Research Achievements |
In this project, we considered a numerical algorithm for nonlinear eigenvalue problems that can be applied to large-scale problems in various application areas of computational sciences. We studied theoretical aspects and some related techniques of a contour integral-based eivensolver for nonlinear eigenvalue problems to apply for various practical applications in computational sciences. According to the results, we developed a method for a spectral projection method using contour integral. We also developed some methods and related techniques to attain high performance and high reliability on large-scale cluster machines. We evaluated the efficiency of the method with some applications. We implemented our method on a function CISS in the software library for the solution of large scale sparse eigenvalue problems on parallel computers SLEPc that is developing at Universitat Politecnica de Valencia.
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