The Determination and Automated Program for the Constants of the Dominant Terms in the Asymptotic Solutions of the Perturbed Cauchy-Euler Equations

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簡歷

基本資料

Project title

Code/計畫編號

NSC98-2115-M019-001

Translated Name/計畫中文名

擾動型Cauchy-Euler型方程漸近表達主要項常數的求算與自動化程式建置

Project Coordinator/計畫主持人

Hua-Huai Chern

Funding Organization/主管機關

National Science and Technology Council

Department/Unit

Department of Computer Science and Engineering

Website

https://www.grb.gov.tw/search/planDetail?id=1877516

Year

2009

Start date/計畫起

01-08-2009

Expected Completion/計畫迄

31-07-2010

Bugetid/研究經費

285千元

ResearchField/研究領域

資訊科學--軟體

本次研究計畫旨在因應從文獻中發掘出的幾類型式上可由歸類於Calabi- Yau 型式或Fuchsian 型式的方程式所能刻畫的實際問題，在初步套用筆者過去在與擾動型Cauchy-Euler 方程上漸近遞移理論有關的研究成果後，一方面印證了過去理論在求算上的效能，特別是漸近遞移及常數上的；另一方面也面臨了條件變動後（主要指數重數問題及主畸異點為共軛對出現等）必須考量的修正及理論擴充的問題，經完成幾類型範例的概略求算後，如何以過去架構在擾動型Cauchy-Euler 方程上的理論為基礎，推廣到能含括新接觸的範例中豐富的案例，並企望在能完成理論的建構，同時也能達成完成自動化程式（ automated program）的建置，以提供對此類方程對應的漸近結果的主要常數的精確或數值上的求算。"Owing to more concrete examples that can be characterized by the so-called Calabi- Yau type or Fuchsian type equations are verified very plausibly to be resolved by our results about the equations of perturbed Cauchy-Euler type, despite some conditions and situations must be re-investigated and modified (involving the multiplicity of the dominant exponent and the presence of the dominant singularities being conjugate pair), the goal of this project is to extend the theoretical and computational aspects of those results we have developed on the asymptotics transfers derived in terms of the perturbed Cauchy-Euler equations, and we are trying to build up an automated problem for providing the explicit or numerical determinations on the dominant constants of the asymptotic expressions."

DSpace CRIS

The Determination and Automated Program for the Constants of the Dominant Terms in the Asymptotic Solutions of the Perturbed Cauchy-Euler Equations

基本資料

Description