Numerical Methods Topics - GATE CE Syllabus

1

1m3/10

📌 Key FormulaGauss elimination, LU decomposition

2

1m4/10

📌 Key FormulaNewton-Raphson: x_{n+1} = x_n - f(x_n)/f'(x_n)

3

1m3/10

📌 Key Formula∫ ≈ (h/3)[y0 + 4y1 + 2y2 + ... + yn]

4

1m2/10

📌 Key Formula∫ ≈ (h/2)(y0 + 2y1 + ... + yn)

5

1m4/10

📌 Key FormulaEuler, Runge-Kutta

6

1m4/10

📌 Key FormulaDivided difference table

7

1m4/10

📌 Key FormulaL_i(x) = product (x - x_j)/(x_i - x_j)

8

1m3/10

📌 Key FormulaForward/backward/central difference

9

1m3/10

📌 Key FormulaTruncation, round-off error