2009 Fiscal Year Final Research Report
Study of numerical solution of linear partial differential equations with variable coefficients based on the optimum interpolation approximation theory
Project/Area Number |
19760261
|
Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Single-year Grants |
Research Field |
Communication/Network engineering
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Research Institution | Ohu University |
Principal Investigator |
KIDA Yuichi Ohu University, 薬学部, 講師 (10405996)
|
Project Period (FY) |
2007 – 2009
|
Keywords | 情報通信工学 / シミュレーション工学 / 数値計算法 |
Research Abstract |
We have developed a numerical solution of inhomogeneous linear partial differential equations (PDEs) with variable coefficients based on the optimum interpolation approximation theory. It is proved that our numerical solution satisfies the given inhomogeneous linear PDE and the given initial/boundary conditions at all the given sample points. Further, we have proved that the actual calculation of our numerical solution results in solving systems of linear equations. Hence, a parallel computation program of our numerical solution can be implemented using a parallel linear algebra library ScaLAPACK.
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Research Products
(21 results)