ELECTIVE-I

CE 601 Numerical Methods (3-0-0-6)

Pre-requisites: Nil

Introduction of Numerical Analysis: Objectives of numerical analysis; Significant digits, precision, accuracy, errors; 

Linear equations: Systems of linear algebraic equations - Matrices, Determinants, Elimination methods, LU factorization, Tridiagonal systems, Iterative methods 

Eigen value problems: Characteristic equations, Power method, Direct method, QR method, Eigen vectors

Accuracy of approximate calculations:

Nonlinear equations: Closed domain methods, Open domain methods, Polynomials

Polynomial approximations and Interpolations: 

Numerical Differentiation and Integration: Taylor's series, quadratures, etc.

Initial Value Ordinary Differential Equations: 

Boundary Value Ordinary Differential Equations: 

Partial Differential Equations: Elliptic pdes, Parabolic pdes, Hyperbolic pdes finite-difference methods.

Brief Introduction to Finite Element Method: variation and weighted residual methods.

Fundamentals of statistical distributions.