EC454 Numerical Analysis and Applications

Course Name: 

EC454 Numerical Analysis and Applications

Programme: 

B.Tech (ECE)

Category: 

Programme Specific Electives (PSE)

Credits (L-T-P): 

(3-0-0) 3

Content: 

Preliminaries on numerical analysis, solutions of equations, errors and measuring efficiency in numerical analysis, matrix analysis, linear systems of equations. Solution of equations in one and multiple variables, direct method, 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: Chebyshev 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. Applications in Circuit simulators for design and analysis of circuits (including VLSI circuit simulators), Microwave techniques and antennas, Numerical Software packages.

References: 

CF Gerald, Applied numerical analysis, 7th ed Pearson 2004
RL Burden, JD Faires, Numerical analysis, 9th ed Cengage Learning 2011
LV Fausett, Applied numerical analysis using MATLAB, 2nd ed Pearson 2009
Philippe G. Ciarlet , Introduction to Numerical Linear Algebra and Optimisation, Cambridge Texts in Applied Mathematics, 1989
Gene H. Golub, Matrix computations, 3rd ed, Johns Hopkins Studies in the Mathematical Sciences, 1996.
James Demmel, Applied Numerical Linear Algebra, SIAM 1997
Biswa Nath Datta, Numerical methods for linear control systems, Design and Analysis, Elsevier 2003.
 

Contact us

Dr. U. Shripathi Acharya,  Professor and Head, 
Department of E&C, NITK, Surathkal
P. O. Srinivasnagar,
Mangalore - 575 025 Karnataka, India.

  • Hot line: +91-0824-2473046

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