NPTEL : NOC:Numerical Methods and Simulation Techniques for Scientists and Engineers (Physics)

Co-ordinators : Dr. Saurabh Basu


Lecture 1 - Error analysis and estimates, significant digits, convergence

Lecture 2 - Roots of Non-linear equations, Bisection method

Lecture 3 - Newton Raphson method, Secant method

Lecture 4 - Newton Raphson Method

Lecture 5 - Newton Raphson Method (example), Curve fitting and interpolation of data

Lecture 6 - Newton’s interpolation formula, statistical interpolation of data

Lecture 7 - Linear and Polynomial regression

Lecture 8 - Numerical differentiation

Lecture 9 - Numerical differentiation, Error analysis

Lecture 10 - Numerical integration, Trapezoidal rule

Lecture 11 - Simpson’s 1/3rd rule

Lecture 12 - Simpson’s 1/3rd rule, Gaussian integration

Lecture 13 - Ordinary Differential equations

Lecture 14 - Solution of differential equation, Taylor series and Euler method

Lecture 15 - Heun’s method

Lecture 16 - Runge Kutta method

Lecture 17 - Examples of differential equation: Heat conduction equation

Lecture 18 - Introduction to Monte Carlo technique

Lecture 19 - Details of the Monte Carlo method

Lecture 20 - Importance sampling

Lecture 21 - Applications: Ising model

Lecture 22 - Introduction to Molecular Dynamics

Lecture 23 - Verlet algorithm

Lecture 24 - Applications of Molecular dynamics