Numerical Methods Topics - GATE ME Syllabus

1

Gauss elimination, LU decomposition etc.

1m3/10

📌 Key FormulaForward/back substitution

2

Newton-Raphson, bisection, secant methods.

1m4/10

📌 Key Formulax_{n+1} = x_n - f(x_n)/f'(x_n)

3

Composite trapezoidal rule for numerical integration.

1m3/10

📌 Key Formula(h/2)(y0 + 2Σyi + yn)

4

1/3 and 3/8 rules for higher accuracy.

1m3/10

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

5

Euler, Runge-Kutta for ODEs.

1m4/10

📌 Key FormulaRK4 increments