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Quick Facts

Medium Of InstructionsMode Of LearningMode Of Delivery
EnglishSelf StudyVideo and Text Based

Courses and Certificate Fees

Fees InformationsCertificate AvailabilityCertificate Providing Authority
INR 1000yesIIT Guwahati (IITG)

The fees for the course Numerical Methods and Simulation Techniques for Scientists and Engineers is :

Fees componentsAmount
Exam feesRs. 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

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