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Numerical Methods and Simulation Techniques for Scientists and Engineers
By IIT Guwahati (IITG) via SwayamNPTEL
Online
8 Weeks
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Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 1000 | yes | IIT Guwahati (IITG) |
The fees for the course Numerical Methods and Simulation Techniques for Scientists and Engineers is :
| Fees components | Amount |
| Exam fees | Rs. 1,000 |
The Syllabus
- Introduction to Numerical analysis
- Importance of error and their calculations
- Examples
- Root Finding Method of non-linear equations
- Bisection Method
- Newton Raphson Method
- Secant method
- Regula- Falsi method, Practical examples.
- Curve fitting method
- Linear and non-linear fitting
- Linear interpolation
- Lagrange interpolation method
- Newton Interpolation formula
- Practical examples.
- Numerical differentiation
- Central difference methods
- Higher order derivatives
- Errors
- Practical examples
- Numerical integration
- Simpson’s 1/3 rd rule
- Simpson’s 3/8 th rule
- Local and global error analysis
- Practical examples
- Eigenvalue problems
- Heun’s method
- Euler’s method
- Runge Kutta Method
- Gerschgorin disc theorem
- Jacobi method
- Practical examples
- Simulation Techniques
- Random numbers
- Monte Carlo Method
- Importance Sampling
- Metropolis Algorithm
- Heat- bath algorithm
- Practical examples
- Molecular dynamics
- Interaction and forces in molecular systems
- MD and Verlet algorithm
- Correlations
- Practical examples
Instructors
Articles
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