Main Page > BS Mathematics (Morning) (After 2 Years ADP Mathematics) > MATH-403 Numerical Analysis-I
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MATH-403 Numerical Analysis-I
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Number Systems and Errors Round off errors and computer arithmetic Error estimation Floating point arithmetic Solution of Non-Linear Equations Iterative methods and convergence: Bisection method, fixed point iterative method, Regula Falsi, Secant and Newton’s method Systems of Linear Equations Direct methods: Gaussian elimination method, Gauss-Jordan method, matrix inversion method, factorization (Doolittle, Crout and Cholesky) method and its various forms Iterative methods and convergence: Gauss-Jacobi method and Gauss-Seidel method Ill-condition system and condition number Eigen values and eigenvectors Power and Rayleigh quotient method Interpolation and Polynomial Approximation Difference operators Interpolation with unequal intervals: Lagrange’s interpolation formula, Newton’s divided difference formula, error in polynomial interpolation Interpolation with equal intervals: Gregory Newton forward/backward interpolation formula, error in polynomial interpolation Central difference interpolation formulae: Gauss’s forward/backward interpolation formula, Stirling’s formula, Laplace Everett’s formula, Bessel’s formula |
| Credit hours/ Marks:- 3 |
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