Lecture Notes || SNS Courseware

Subject Details

Dept : AERO

Sem : 4

Regul : 2019

Faculty : Saranya C

phone : NIL

E-mail : saranya.c.math@snsct.org

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Lecture Notes

UNIT 1:

Newton Raphson method

Gauss Elimination Method

Gauss Jacobi Method

Matrix Inversion by Gauss – Jordan method

Eigen values of a matrix by power method.

Matrix Inversion by Gauss – Jordan method

Gauss Jordan Method

Gauss Seidal Method

UNIT 2:

Finite difference

Operators

Properties of operators

Relation between the operators

Interpolation with equal intervals

Newton’s forward and backward difference interpolation

Interpolation with unequal intervals

Lagrange’s and Newton’s divided difference interpolations.

UNIT 3:

Approximation of derivatives using interpolation polynomials

Numerical integration by Trapezoidal

Differentiation using interpolation formulae

Numerical integration by Simpson’s 1/3rd

Differentiation using interpolation formulae

Numerical integration by Simpson’s 3/8th rules

Double integrals using Trapezoidal rules.

Lecture Notes