Introduction to Numerical Analysis
Weekly Hours: 6
ECTS Credits: 6
Course Homepage: http://ecourse.uoi.gr/course/view.php?id=1759
Description: Floating point arithmetic. Rounding errors and their propagation. Errors in the computation of sums. Stability of algorithms and condition of problems. Numerical methods for nonlinear equations: the bisection method, general iterative methods, Newton’s method and the secant method. Numerical methods for linear systems: Gaussian elimination and its variants, condition of linear systems and stability of numerical methods, introduction to iterative methods. Interpolation: Lagrange and Hermite polynomial interpolation, and spline interpolation. Numerical Integration: Trapezoidal method, Simpson’s method and Gaussian rules.