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Bisection Method
O(h)
Newtons Method
2nd order
1 multiple choice option
Secant Method
1.618 order
3 multiple choice options
false position
O(h)
fixed point order
O(h)
Forward difference
O(h)
3 multiple choice options
Backwards difference
O(h)
3 multiple choice options
center difference f'(x)
O(h^2)
3 multiple choice options
center difference f"(x)
O(h^2)
3 multiple choice options
Richardsons extrapolation k1h+k2h^2+k3h^3
O(h^k)
3 multiple choice options
Richardsons extrapolation k2h^2+k4h^4+k6h^6
O(h^2k)
3 multiple choice options
Midpoint Rule
O(h^2)
3 multiple choice options
Trapezoid Rule
O(h^2)
3 multiple choice options
Simpson's Rule
O(h^4)
3 multiple choice options
Romberg interpolation
O(h^2k)
3 multiple choice options
Euler ODE
O(h^2) step O(h) global
3 multiple choice options
midpoint method ODE
O(h^3) step O(h^2) global
3 multiple choice options
modified Euler ODE
O(h^3) step O(h^2) global
3 multiple choice options