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)
|
Allocation Type | Single-year Grants |
Research Field |
Communication/Network engineering
|
Research Institution | Ohu University |
Principal Investigator |
KIDA Yuichi Ohu University, 薬学部, 講師 (10405996)
|
Project Period (FY) |
2007 – 2009
|
Project Status |
Completed (Fiscal Year 2009)
|
Budget Amount *help |
¥3,960,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥660,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2007: ¥1,100,000 (Direct Cost: ¥1,100,000)
|
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.
|
Report
(4 results)
Research Products
(38 results)