歷屆資訊
講義封面 講義書背
老師簡介
簽到單
助教資訊 |
講義 |
MIT Note introduction(1)(2)(prof.
Dionision Margetis) |
MIT Note first-order(prof.
Dionision Margetis) |
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PDE之參考書籍 |
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First - order PDE |
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偏微分方程流程圖 |
Wave of
one characteristic |
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Quasi-linear
first order equation |
Quasi-linear
first order equation- simple example
(example) |
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Solution
stages monge cone
derivation |
Charateristics
and solvability conditions |
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Method
of characteristic line |
General nonlinear first order P.D.E. |
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期中考通告 |
Method of Complete Integral |
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Hight - order PDE |
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偏微分方程 |
Solve PDE
by Taylor's expansion |
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D'Alembert's
solution |
Field
behavior of for PDE |
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Reflection
and transmission in two medium using diamond rule |
Formulation
of string wave |
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Mathematical
model for Green,s function |
BEAM |
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Rod |
包絡線之圖形 |
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Alternative series and Stokes' transformation |
Clairaut's 微分方程式 奇異解的解法 |
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Alternative series and Stokes' transformation |
Second
order PDE |
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Cesaro sum for Fourier series |
Elliptic,
parabolic and hyperbolic PDE |
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波向左傳遞之Mathematica動畫(請連點兩次,方有動畫呈現) |
半無窮固定端波傳遞之Mathematica動畫(請連點兩次,方有動畫呈現) |
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波向右傳遞之Mathematica動畫(請連點兩次,方有動畫呈現) |
半無窮自由端波傳遞之Mathematica動畫(請連點兩次,方有動畫呈現) |
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給定初始位移的波之Mathematica動畫(請連點兩次,方有動畫呈現) |
給定初始速度的波之Mathematica動畫(請連點兩次,方有動畫呈現) |
Mathematica
動畫示範教學 |
波往不同密度傳遞之Mathematica動畫(請連點兩次,方有動畫呈現,可自行決定K值以了解波往不同密度傳遞之情形) |
有限固定繩波之三種解法(1)Diamond rule(2)Image method(3)Series
solution,內含Mathematica公式 方形波級數解之Mathematica動畫
方形波映像法之Mathematica動畫
方形波鑽石法則之Mathematica動畫
三角波級數解之Mathematica動畫
三角波映像法之Mathematica動畫
三角波鑽石法則之Mathematica動畫
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簡支梁承受多支承運動分析與動畫模擬
(計畫書
成果報告)
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兩端固定之樑的波動傳遞 (Mathematica之動畫呈現) |
期末考通告 |
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波動動畫網頁(Dr. Dan Russell, Kettering University Applied Physics) |
Astrophysical Gas Dynamics(James R. Graham, UC, Berkeley) |