Course12210603338 lectures
Numerical methods and programing
Prof. P. B. Sunil Kumar · IIT Madras
Lectures
Numerical Analysis and Computer Programming
- Programing Basics
- Introduction to Pointers
- Pointers And Arrays
- External Functions and Argument Passing
- Representation of Numbers
- Numerical Error
- Error Propagation and Stability
- Polynomial Interpolation-1
- Polynomial Interpolation-2
- Error In Interpolation Polynomial
- Polynomial Interpolation
- Cubic Spline Interpolation
- Data Fitting : Linear Fit
- Data Fitting : Linear Fit
- Data Fitting : Non Linear Fit
- Matrix Elimination and Solution
- Solution To Linear Equations
- Matrix Elimination
- Eigen Values of A Matrix
- Eigen Values And Eigen Vectors
- Solving NonLinear Equations
- Solving NonLinear Equations Newton Raphson Method
- Methods For Solving NonLinear Equations
- System of NonLinear Equations
- Numerical Derivations
- High order Derivatives From Difference Formula
- Numerical Integration - Basic Rules
- Comparison of Different Basic Rules
- Gaussian Rules
- Comparison of Gaussian Rules
- Solving Ordinary Differential Equations
- Solving ordinary differential equations
- Adaptive step size Runge Kutta scheme
- Partial Differential Equations
- Explicit and Implicit Methods
- The Crank - Nicholson Scheme For Two Spatial
- Fourier Transforms
- Fast Fourier Transforms
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Madras
- Department
- Basic courses-Sem 1 and 2
- Teacher
- Prof. P. B. Sunil Kumar
- Level
- Undergraduate
- Language
- English
- 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.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Teens profiles and older, judged from what the source says about it. How courses are placed