ACM710 Scientific Computing

[3–0, 3 cr.]

Fundamental techniques in scientific computing are covered: Floating-point representation and errors, locating roots of equations, interpolation and numerical differentiation, numerical integration and Gaussian quadrature formulas, systems of linear systems, Gaussian elimination with Scaled partial pivoting, tridiagonal and banded systems, matrix factorizations, iterative solutions, approximation by spline functions, Monte Carlo methods and simulation,  numerical solutions of ordinary differential equations, forward and backward Euler, predictor-corrector and Runge-Kutta schemes, shooting methods, and stiff ODE’s, minimization of functions.