Week03

Chapter Four

Step size → large: error less; small error more and accumulate.

$partial(f(x)) / partial(h) = 0$ → to get the minimal error.

There are three inseting ways to find the error; however, this class we intro the middle way. And we need calculus to find the error.

We have to consider round-off error and truncation error to let the numerical error minimize.

blunders → what stupid people did, formulation errors → there are still some phenomanon that we haven’t certained, data uncertainty

How will you improve the accuracy of the divergence?

• HW

  4.3

  4.8

  4.23

Chapter Five

if we meet the complex polynomial → through graphic method to find the point interect with x-axis.

• Bisection:
  • divided into 2, we can count the truth steps of getting the value what we want.
  • True error never exceeds delta(x) / 2
  • more times
• False position:
  • linear interpolation
  • less times

Chapter Six

• Simple fixed-point iteration:
  • rewrite the funciton → left-side = right-side

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Last update: 2024-04-27