List of top Engineering Mathematics Questions on Numerical Methods asked in GATE PE

Using Simpson’s one-third rule (with step size $h=0.25$), the area under the curve $y = e^{-x^{3}}$, from $x=0$ to $x=1$ is ............. (rounded to two decimal places).
In the 4th order Runge-Kutta method for solving ordinary differential equations with step size $h<1$, the ratio of the order of local error to the order of global error is