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Course11510311429 lectures

Numerical Methods And Simulation Techniques For Scientists And Engineers

Prof. Saurabh Basu · IIT Guwahati

Start with lecture 1 At NPTEL

Lectures

Roots of non-linear equations

  1. Lec 1: Error analysis & estimates, significant digits, convergence Video
  2. Lec 2: Roots of Non-linear equations, Bisection method Video
  3. Lec 3: Newton Raphson method, Secant method Video

Interpolation of data, curve fitting

  1. Lec 4: Newton Raphson Method Video
  2. lec 5: Newton Raphson Method (example), Curve fitting and interpolation of data Video
  3. Lec 6: Newton's interpolation formula, statistical interpolation of data Video

Numerical differentiation

  1. Lec 7: Linear and Polynomial regression Video
  2. Lec 8: Numerical differentiation Video
  3. Lec 9: Numerical differentiation, Error analysis Video

Numerical integration

  1. Lec 10: Numerical integration, Trapezoidal rule Video
  2. Lec 11: Simpson's 1/3rd rule Video
  3. Lec 12: Simpson's 1/3rd rule, Gaussian integration Video

Solution of differential equations

  1. Lec 13: Ordinary Differential equations Video
  2. Lec 14: Solution of differential equation, Taylor series and Euler method Video
  3. Lec 15: Heun's method Video

Differential equations and Monte Carlo Technique

  1. Lec 16: Runge Kutta method Video
  2. Lec 17: Examples of differential equation: Heat conduction equation Video
  3. Lec 18: Introduction to Monte Carlo technique Video

Monte Carlo technique and applications

  1. Lec 19: Details of the Monte Carlo method Video
  2. Lec 20: Importance sampling Video
  3. Lec 21: Applications: Ising model Video

Molecular dynamics simulation

  1. Lec 22: Introduction to Molecular Dynamics Video
  2. Lec 23: Verlet algorithm Video
  3. Lec 24: Applications of Molecular dynamics Video

Live Session

  1. Live Session 14-09-2021 Video
  2. Live Session 21-10-2020 Video
  3. Live Session 26-11-2020 Video
  4. Live Session 25-10-2019 Video
  5. Live Session 27-09-2019 Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Guwahati
Department
Physics
Teacher
Prof. Saurabh Basu
Level
Undergraduate
Language
English
Subjects
Physics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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