9/5: Introduction; Taylor's theorem and differencing
9/10: Differencing in 1D, Taylor's Theorem in nD, HW1 Distributed, Solutions
9/12: 2D meshes and differencing, approximating DEs
9/17: Convergence Theory, HW2 Distributed, Solutions
9/19: Convergence Theory, continued, HW1 Due
9/24: Boundary conditions, HW3 Distributed, Solutions, Solution code, Solution driver
9/26: Boundary conditions continued, complications, HW2 Due
10/1: Meshless Finite Differences, HW4 Distributed, Solutions, Solution code, Solution driver
10/3: Finite volumes in 1D, HW3 Due
10/8: Finite volumes in 2D and 3D
10/10: Spectral Methods, HW4 Due, HW5 Distributed, Solutions, Solution Code, Solution driver
10/15: Fall Break, no lecture
10/17: Fast Fourier Transform and Fast Poisson Solver, HW6 Distributed, Solutions, Solution code, Solution driver
10/22: Midterm Exam, Solutions, Practice exam, Practice exam solutions
10/24: Weak forms and Ritz-Galerkin
10/29: Approximation Theory
10/31: Piecewise linears, HW5 Due
11/5: Piecewise polynomial approximation, HW7 Distributed, Solutions, Solution Code, Solution driver
11/7: Hilbert Spaces, Lax-Milgram Lemma, Céa's Lemma, HW6 Due
11/12: Poincaré-Friedrichs, Reaction-convection-diffusion equations, HW8 Distributed, Solutions
11/14: Finite elements in 2D and 3D, approximation properties, HW7 Due, HW9 Distributed, Solutions, Solution Code, Solution Driver
11/19: Direct Methods
11/21: Iterative Methods and Matrix Splitting, HW8 Due
11/26: Krylov Methods and GMRES
11/28: MINRES and CG, HW9 Due
12/7: Final Exam, 9:00am - 11:00am, Chemistry 4002, Practice exams, Solutions
|