課程名稱︰數值方法
課程性質︰系選修
課程教師︰林巍聳
開課學院：電機資訊學院
開課系所︰電機系
考試日期（年月日）︰2011/04/19
考試時限（分鐘）：120 min
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
1.y''-2y'+2y=sin(t)
Please list the formula of Runge-Kutta method of order 4
for this second order differential equation.
Assume y(0)=-0.6 y'(0)=-0.4.
2.y(t)=2000+1000*exp(t)-3000.
Please find the range of step-size that
the estimation result of Euler method would be stable.
3.Approximate function of natural cubic spline
given the following data:
x │ f(x)
───────
8.3 │ 1.547056
│
8.6 │ 1.478362
│
│
4.Evaluate the following integration with
Simpson's method with step-size=0.25 :
1
∫ x^2 dx = ?
0
5.Use Newton method to find p2
given f(x)=x^2-6 and p0=1.
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