- 課號 ：522
M4160
- 類別 ：選修
- 名稱 ：擾動學
- 英文名稱：Perturbation Methods
- 學分 ：３
- 適修年級：
- 課程大綱：
-
- Introduction:
asymptotic approximation, asymptotic expansion, terminology, basic
concepts,
- Asymptotic representations of integrals:
method of integration by parts, method of steepest descents, method
of splitting range, method of intermediate order
- Regular perturbations :
applied to initial-value problems, boundary-value problems, partial
differential equations
- Singular perturbations (I) - methods for solving
oscillatory problems :
concept of nonuniformity, Lindstedt method, method of multiple
scales, method of averaging
- Singular perturbations (II) - matched asymptotic
expansions :
concept of nonuniformity, transition (boundary) layer, inner and
outer expansions, matching principles, failure of matching, expansions
involving logarithmic terms
- 預修課程 ：工程數學
- 授課老師 ：伍次寅
- 課程說明 ：
- 評分考試 ：
- 1.作業(4-5次) 不予評分
- 2.期末考(題目出自作業) 100%
- 教科書：
- 'Perturbations, Theoryand Methods,' J.A.Murdock Wiley,1999.
- 'Perturbation Methods,' E. J. Hinch, Cambridge Univ. Press,1991.
- 參考書目：
- 注意事項：
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