• 流體力學 [Fluid Mechanics] 暑期課程 (summer session)
• 熱力學(一) [Thermodynamics (1)] 暑期課程 (summer session)
• 計算機概論 [Introd. Comput. Sci.]
• 流體力學導論 [Introduction of Fluid Mechanics]
• 熱對流 [Convective Heat Transfer]
• 奈米流體理論與應用 [Theory Appl. Nanofluids]
• 風力機系統設計與分析 [Des. Anal. Wind Turbine Systems]
• 微分方程數值解 [Numer. Sol. Diff. Equat.]
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助教: 劉家瑞 Jia-Rui Liu (工學館 5樓522室; ext. 4331) |
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教學目標: 本課程主要介紹求解偏微分方程的數值方法,包含Gauss-Seidel、Successive Over-Relaxation (SOR)、Alternating Direction Implicit (ADI)、Forward Time Central Space (FTCS)、Crank-Nicolson (CN)、Central Time Central Space (CTCS)及Method of Characteristics (MOC)等,目的在學習如何實際地有效應用至工程問題。期使學生們藉由本課程培養數值技巧,離開學校更可應用所學到相關領域,以提升國內計算科學的分析和應用能力。 This course is intended to serve as an introduction to numerical methods of solving partial differential equations. These methods include the Gauss-Seidel, the Successive Over-Relaxation (SOR), the Alternating Direction Implicit (ADI), the Forward Time Central Space (FTCS), the Crank-Nicolson (CN), the Central Time Central Space (CTCS), the Method of Characteristics (MOC), etc. It is oriented toward learning how to apply numerical methods effectively in practice. Emphasis is thus put on the engineering application aspects. Hope students are able to possess numerical techniques with the help of this course and able to apply what they have learned to various fields, thus enhancing the analysis and application capabilities of domestic mathematics and computing science. |
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教學目錄: 第一章 緒論(Introduction) 第二章 有限差分技巧(Finite-difference techniques) 第三章 橢圓型方程求解方法(Methods for elliptic equations) 第四章 拋物線型方程求解方法(Methods for parabolic equations) 第五章 雙曲線型方程求解方法(Methods for hyperbolic equations) |
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考核項目: 學期考試 30% 平時考核 70% 出席 25% (遲到早退 -1/5、因假缺課(公假除外) -2/5 、不假曠課 -5/5) 作業 40% (A4紙張、2頁以上須裝訂;格式不符 -2/5、延遲繳交 -2/5、無故缺交 -5/5;再依作業內容評量分數) 互動 5% (基本1%;再依學生積極性、努力度及上課狀況評量分數) //指派作業後於下一次上課前繳交,繳交截止後不再接受補交;繳交狀態於公告後1星期內可申訴// //任何考試舞弊者,該科目之全學期成績,不得及格// |
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教科書: (無) |
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參考書: Lam, C. Y., 1994, Applied Numerical Methods for Partial Differential Equations, New York: Prentice Hall. |
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檔案下載: Silverfrost FTN95 free software!! --> also [download] FileZilla free software!! |
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作業補充: (無) |
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課堂點名:
◇ 不假曠課 |
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課堂作業: //FTP軟體下載//
//課堂作業上傳//
◇ 未交 |
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學期總成績:
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