MA8491 NM Notes

Anna University Regulation 2017 CIVIL MA8491 NM Notes, NUMERICAL METHODS Lecture Handwritten Notes for all 5 units are provided below. Download link for CIVIL 4th Sem NUMERICAL METHODS Notes are listed down for students to make perfect utilization and score maximum marks with our study materials.

MA8491 NM NUMERICAL METHODS

OBJECTIVES :
 To introduce the basic concepts of solving algebraic and transcendental equations.
 To introduce the numerical techniques of interpolation in various intervals in real life situations.
 To acquaint the student with understanding of numerical techniques of differentiation and integration which plays an important role in engineering and technology disciplines.
 To acquaint the knowledge of various techniques and methods of solving ordinary differential equations.
 To understand the knowledge of various techniques and methods of solving various types
of partial differential equations.
Solution of algebraic and transcendental equations – Fixed point iteration method – Newton Raphson method – Solution of linear system of equations – Gauss elimination method – Pivoting -Gauss Jordan method – Iterative methods of Gauss Jacobi and Gauss Seidel – Eigenvalues of a matrix by Power method and Jacobi’s method for symmetric matrices.Interpolation with unequal intervals – Lagrange’s interpolation – Newton’s divided difference
interpolation – Cubic Splines – Difference operators and relations – Interpolation with equal intervals – Newton’s forward and backward difference formulae.
Approximation of derivatives using interpolation polynomials – Numerical integration using Trapezoidal, Simpson’s 1/3 rule – Romberg’s Method – Two point and three point Gaussian quadrature formulae – Evaluation of double integrals by Trapezoidal and Simpson’s 1/3 rules.
Single step methods – Taylor’s series method – Euler’s method – Modified Euler’s method – Fourth order Runge – Kutta method for solving first order equations – Multi step methods – Milne’s and Adams – Bash forth predictor corrector methods for solving first order equations.

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MA8491 NM Notes

Anna University 4th Sem CIVIL NM Lecture Handwritten Notes