Extrapolation of Higher Order Similar as in Section 4.7 assume an error model

η∗ = η(Δ) − γ1Δ2 − γ2Δ3 and three calculated values

η1 := η(Δ) , η2 := η

Δ

2



, η3 := η

Δ

4



.

Show that

η∗ = 1 21(η1 − 12η2 + 32η3).

Exercise 4.14

a) Derive (4.49).

b) Derive (4.56).