Numerical Methods and Simulation Techniques for Scientists and Engineers (English)

   Monday, March 18, 2024   

Starting a new Lecture Notes Series on Numerical Methods and Simulation Techniques for Scientists and Engineers

Youtube Lecture Playlist Credits 

Channel Name: NPTEL IIT Guwahati

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Numerical Methods and Simulation Techniques for Scientists and Engineers By Lecture Notes together!

Lecture 1: Numerical Methods and Simulation Techniques for Scientists and Engineers

Lecture 2: Lec 1: Error analysis & estimates, significant digits, convergence

Lecture 3: Lec 2: Roots of Non-linear equations, Bisection method

Lecture 4: Lec 3: Newton Raphson method, Secant method

Lecture 5: Lec 4: Newton Raphson Method (Examples)

Lecture 6: Lec 5: Curve fitting and interpolation of data

Lecture 7: Lec 6: Newton’s interpolation formula, statistical interpolation of data

Lecture 8: Lec 7: Linear and Polynomial regression

Lecture 9: Lec 8:Numerical differentiation

Lecture 10: Lec 9: Numerical differentiation, Error analysis

Lecture 11: Lec 10: Numerical integration, Trapezoidal rule

Lecture 12: Lec 11: Simpson's 1/3rd rule

Lecture 13: Lec 12: Simpson’s 1/3rd rule, Gaussian integration

Lecture 14: Lec 13: Ordinary Differential equations

Lecture 15: Lec 14: Solution of differential equation, Taylor series and Euler method

Lecture 16: Lec 15: Heun’s method

Lecture 17: Lec 16: Runge Kutta method

Lecture 18: Lec 17: Examples of differential equation: Heat conduction equation

Lecture 19: Lec 18: Introduction to Monte Carlo technique

Lecture 20: Lec 19: Details of the Monte Carlo method

Lecture 21: Lec 20: Importance sampling

Lecture 22: Lec 21: Applications: Ising model

Lecture 23: Lec 22: Introduction to Molecular Dynamics

Lecture 24: Lec 23: Verlet algorithm

Lecture 25: Lec 24: Applications of Molecular dynamics