Math 523 Course Schedule

Content Info Schedule Homework Hints Q & A Programs Software		MATH 523 Numerical Analysis I: Algorithmic introduction to Scientific Computation Fall 2007 Tentative schedule No. Date Topics 01 08/27 Overview of Scientific Computing 02 08/29 Overview of Scientific Comp, Errors 03 08/31 Matrix decomposition, LU 04 09/05 Pivoting, Householder 05 09/10 Householder, QR 06 09/12 Iterative methods 07 09/14 Iterative methods 08 09/17 Eigenvalue, Power methods 09 09/24 QR, SVD 10 09/26 Interpolation 11 09/28 Interpolation, Splines 12 10/01 least square 13 10/03 FFT 14 10/05 Random numbers 15 10/08 Numerical quadrature 16 10/10 Gaussian quadrature 17 10/12 Monte Carlo 18 10/15 Adaptive quadrature 19 10/17 Newton 20 10/19 Quasi-Newton, Broyden 21 10/22 Line search 22 10/24 Conjugate gradient 23 10/26 Preconditioner 24 10/29 Simulated Annealing 25 10/31 Simulated Annealing 26 11/02 ODE: forward/backward Euler 27 11/05 Verlet, RK, Molecular Dynamics 28 11/07 Stiff solver, Finite difference 29 11/09 BVP: shooting * 11/? Exam 30 11/11 BVP: Finite difference 31 11/12 BVP: finite element 32 11/14 BVP: finite element 33 11/16 Finite Difference for PDE   Thanksgiving break, no class 34 11/26 Finite element for PDE, BVP 35 11/28 Finite diff, explicit marching 36 11/30 Finite diff, implicit marching * 12/.. Special topics