Richardson’s Extrapolation
math.berkeley.edu › ~mgu › MA128ASpring2017Evan extrapolation, example Approximate f0(2:0) with N 1(0:1) and N 2(0:1) for f(x) = xex. Solution: f0(x) = (1 + x)ex; therefore f0(2:0) = 3e2 ˇ22:167: I N 1(0:1) = f(2:1) f(1:9) 2 0:1 ˇ22:229: I N 1(0:2) = f(2:2) f(1:8) 2 0:2 ˇ22:414: N 2(0:1) = N 1(h) + N 1(h) N 1(2h) 3 ˇ22:167: