NIT Srinagar Syllabus 7th Sem CSE Numerical Methods

NIT Srinagar Syllabus 7th Sem CSE

Numerical Methods

  • Representation of Numbers. Sources of errors and their propagation.
  • Error analysis and the idea of conditioning.
  • Linear systems of equations and their solutions.
  • Gauss elimination and its complexity and robustness.
  • Well-conditioning and matrix inversion.
  • Gram-Schmitt orthogonalization.
  • Interpolation and approximation.
  • Divided differences.
  • Interpolation at increasing number of points.
  • Best approximation and orthogonal polynomials.
  • Iterative methods for root finding.
  • Rates of convergence.
  • Fixed points.
  • Iterative methods for linear systems.
  • Numerical Differentiation.
  • Ordinary Differential Equations and numerical Integration.

Books Recommended:

  1. P. Davis, Interpolation and Approximation, Dover, 1975.
  2. S.D.Conte and C. deBoor, Elementary Numerical Analysis 3ed, McGraw Hill, 1981.

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