Course Code | MA 214 |

Course Name | Numerical Analysis |

Offered to | UG/PG |

Pre-requisites | NIL |

Lecture | 3 |

Tutorial | 1 |

Practical | 0 |

Credit | 8 |

Reference | 1. S. D. Conte and Carl de Bo or, Elementary Numerical Analysis- An Algorithmic Approach (3rd Edition), McGraw-Hill, 1980. 2. C. E. Froberg, Introduction to Numerical Analysis (2nd Edition), Addison-Wesley, 1981. 3. E. Kreyszig, Advanced engineering mathematics (8th Edition), John Wiley (1999). |

Description | Interpolation by polynomials, divided di?erences, error of the interpo-lating polynomial, piecewise linear and cubic spline interpolation. Numerical integration, composite rules, error formulae. Solution of a system of linear equations, implementation of Gaussiane limination and Gauss-seidel methods, partial pivoting, row echelonform, LU factorization Cholesky302222s method, ill-conditioning, norms. solution of a nonlinear equation, bisection and secant methods. Newton302222s metho d, rate of convergence, solution of a system of nonlin-ear equations, numerical solution of ordinary di?erential equations, Eu-ler and Runge-Kutta methods, multi-step metho ds, predictor-corrector methods, order of convergence, ?nite di?erence methods, numerical solutions of elliptic, parabolic, and hyperbolic partial di?erential equa-tions. Eigenvalue problem, power metho d, QR method, Gershgorin302222s theo-rem. Exposure to software packages like IMSL subroutines, MATLAB. |