主講人：陳正宗 教授 (臺灣海洋大學河海工程/機械工程系)

主題：Nonuniqueness Problems in Numerical Methods

Abstract：
Nonuniqueness problems in numerical methods are reviewed in this talk. Emphases on the degenerate problems, including degenerate boundary, degenerate scale, spurious eigensolution and fictitious frequency, in the boundary integral formulation are given. All the degenerate problems originate from the rank deficiency in the influence matrix. Singular value decomposition (SVD) technique is employed to solve the degenerate problems. Updating terms and updating documents of the SVD technique are utilized to extract the true and spurious solutions, respectively. The roles of right and left unitary vectors of SVD in BEM and their relations to true, spurious and fictitious modes are examined. A unified method for dealing with the degenerate problem is proposed. Several examples in real engineering practice are demonstrated to check the validity of the unified formulation.

時間：2009 年 5 月 11 日13:20~14:10
地點：新生大樓202室