Computer arithmetic, error propagation in calculations, interactive solution of nonlinear equations, interpolation, approximation of functions. Orthogonal Chebyshev and Legendre polynomials, discrete integral approximation, Newton-Cotes method, Gaussian integration. Determination of eigenvalues of selected matrices, diagonalization of matrices, compilation and solution of discrete forms of selected differential equations describing fluid dynamics, Initial value problem, nondimensional equation, solution of integral equations, issues of uniqueness, consistency, stability and thus convergence of the solution, Euler's method of solution diff. equations, Runge-Kutta methods, multistep methods, Predictor-corrector method. The topics are focused to solve problems in meteorology and climatology.
Outcome:
Application of numerical procedures to solve meteorological and climatological problems.
