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SYLLABUS
Unit-1
Solutions of Equations in One Variable : The Bisection Method - Fixed-Point Iteration - Newton’s Method and Its Extensions - Error Analysis for Iterative Methods - Accelerating Convergence - Zeros of Polynomials and Muller’s Method - Survey of Methods and Software.
Unit-2
Interpolation and Polynomial Approximation: Interpolation and the Lagrange Polynomial - Data Approximation and Neville’s Method - Divided Differences - Hermite Interpolation - Cubic Spline Interpolation.
Unit-3
Numerical Differentiation and Integration: Numerical Differentiation - Richardson’s Extrapolation - Elements of Numerical Integration - Composite Numerical Integration - Romberg Integration - Adaptive Quadrature Methods - Gaussian Quadrature
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CategoriesArts and Science
Format PDF
TypeeBook