Most viewed questions in Numerical Methods

8 votes
3 answers
1
Using Newton-Raphson method, a root correct to 3 decimal places of $x^3 - 3x -5 = 0$2.2222.2752.279None of the above
3 votes
2 answers
3
0 votes
3 answers
4
Match the following items(i) Newton-Raphson(a) Integration(ii) Runge-Kutta(b) Root finding(iii) Gauss-Seidel(c) Ordinary Differential Equations(iv) Simpson's Rule(d) Solu...
30 votes
3 answers
5
Consider the polynomial $p(x) = a_0 + a_1x + a_2x^2 + a_3x^3$ , where $a_i \neq 0$, $\forall i$. The minimum number of multiplications needed to evaluate $p$ on an input ...
4 votes
1 answer
6
The shift operator $E$ is defined as $E [f(x_i)] = f (x_i+h)$ and $E'[f(x_i)]=f (x_i -h)$ then $\triangle$ (forward difference) in terms of $E$ is$E-1$$E$$1-E^{-1}$$1-E$
3 votes
1 answer
9
Newton-Raphson method is used to compute a root of the equation $x^2 - 13 = 0$ with 3.5 as the initial value. The approximation after one iteration is3.5753.6763.6673.607...
1 votes
1 answer
10
The Newton-Raphson iteration $x_{n+1} = \frac{1}{2}\left(x_n+\frac{R}{x_n}\right)$ can be used to compute thesquare of R reciprocal of R square root of R l...
1 votes
1 answer
11
8 votes
3 answers
12
The following definite integral evaluates to$$\int_{-\infty}^{0} e^ {-\left(\frac{x^2}{20} \right )}dx$$$\frac{1}{2}$$\pi \sqrt{10}$$\sqrt{10}$$\pi$
1 votes
1 answer
13
The trapezoidal rule for integration gives exact result when the integrand is a polynomial of degree0 but not 11 but not 00 or 12
3 votes
2 answers
15
7 votes
1 answer
16
The bisection method is applied to compute a zero of the function $f(x) =x ^{4} – x ^{3} – x ^{2} – 4$ in the interval [1,9]. The method converges to a solution aft...
3 votes
1 answer
17
1 votes
1 answer
20