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01-IE-L-A2-S1: Numerical Methods (Seria IEC - 2024)

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Why is the implicit Euler method more advantageous than the explicit Euler method?

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During the Gauss method without pivoting, which coefficient will be 0 immediately after a(7,3) becomes 0?:

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Evaluate the time complexity of the following algorithm, considering that any algebraic operation is an elementary operation:

integer n

real array x[n],y[n]

real array z[n]

integer k

for k = 1,n

    z(k) = x(k) + y(k)

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