 Computer
Science |
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Syllabus
2004 - 2005
B.Sc. II , Semester-IV (Dec.) Computer Science
Computer Oriented Numerical Methods
Numerical computation : Computer Arithmetic: floating point number operations, normalization and their consequences. Bisection, False position, Newton Raphson, Secant method, Graffes root squaring method, Convergence of solution.
Unit 2 :
Simultaneous Linear equations : Solution
of simultanious liner equations - Gauss elimination method, Gauss- Seidal
iterative method. Gauss Jordan elimination method.
Triangularization method and Pivaoting condensation. III conditions
equations and refinement of solutions.
Unit 3 :
Numerical Differentiation and
Integration :Solutions of
Differential equation. Trapezoidal rule, Simpson 1/3 rule, Simpson 3/8
Eulers method, Runga - Kutta method, Predictor - Corrector method
Unit 4 :
Interpolation and Approximation : Polynomial
interpolation, Newton difference formula, Newton divide formula, Newton
forward formula, Newton backward formula, Langrange Formula. Approximation
of function by Taylor series.
Unit 5 :
Curve fitting method : Least
square method, Nonlinear cure fitting. Data fitting , Cube Splines and
Approximation Chebyshey Polynomials. Automatic error monitoring