EC350 Numerical Analysis

Course Name: 

EC350 Numerical Analysis

Programme: 

B.Tech (ECE)

Category: 

Programme Specific Electives (PSE)

Credits (L-T-P): 

(3-1-0) 4

Content: 

Preliminaries on numerical analysis, Errors and measuring efficiency , Review of Linear Algebra, Iterative techniques in matrix algebra, elimination method, inverse of a matrix, ill conditioned systems, eigen values, eigen vectors, LU and QR factorization. Solving nonlinear equations, bisection, Newton’s method, Mullers method, fixed point interpolation, steepest descent. Interpolation and curve fitting: interpolating polynomials, spline curves, interpolation on a surface, least square approximations. Approximation of functions: Fourier basis and orthogonal polynomials, rational function approximation. Numerical differentiation and integration, solution of ordinary differential equations: Taylor series method, Euler method, Runge-Kutta method. Solution of partial differential equations, finite element methods, optimization.

References: 

Francis B. Hildebrand, Introduction to Numerical Analysis, 2nd Ed, Dover.
SD Conte, C de Boor, Elementary numerical analysis: An algorithmic approach, 3rd Ed, Mc Graw Hill, 1981.
R.L. Burden & J.D. Faires, Numerical Analysis, 9th Ed, Brooks/Cole, Cengage Learning, 2011

Department: 

Electronics and Communication Engineering(ECE)
 

Contact us

Prof. N. Shekar V. Shet, Professor and Head, 
Department of ECE, NITK, Surathkal
P. O. Srinivasnagar,
Mangalore - 575 025 Karnataka, India.

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