BEC306D |Applied Numerical Methods for EC Engineers

Module 1
Approximations and Round Off -Errors in computation: Error definitions, Round-Offerrors, Truncation errors and the Taylor series-The Taylor series, Error Propagation, Total numerical error,Absolute,Relative and percentage errors,Blunders, Formulation errors and data uncertainty. Roots of equations: Simple fixed point iteration methods. Secant Method, Muller’s method, and Graeffe’s Roots Squaring Method. Aitkin’s Method. 
Module 2
Rank of the matrix, Echelon form, Linearly dependent and independent equations, Solutions for linear equations, Partition method, Croute’s Triangularisation method. Relaxation method. Solution of non-linear simultaneous equations by Newton-Raphson method. Eigen Values and properties, Eigen Vectors, Bounds on Eigen Values, Jacobi’s method, Given’s method for symmetric matrices. 
Module 3
Least-Squares Regression: Linear Regressions, Polynomial regressions, Multiple Linear regressions, General Linear Least squares, Nonlinear Regressions, QR Factorization. Curve Fitting with Sinusoidal Functions Introduction to Splines,Linear Splines, Quadratic Splines, Cubic Splines. Bilinear Interpolation.
Module 4
Romberg’s method, Euler-Maclaurin formula, Gaussian integration for n = 2 and n=3. Numerical double integration by trapezoidal and Simpson’s 1/3 rd rule. Solution of linear difference equations. Boundary-Value Problems, Introduction. The Shooting Method, Finite-Difference Methods 
Module 5
Classifications of second-order partial differential equations,Finite difference approximations to partial derivatives. Solution of:Laplace equation, Poisson equations, one-dimensional heat equation and wave equations.

BEC306D | Model Question Paper with Solution

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BEC306D | Passing Package
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