Instructor | Chaiwoot Boonyasiriwat |
Class Hours | Friday, 9.00AM - 12.00PM |
Assessment | Homework 60%, Project 40% |
Slides | |
Online learning | Join |
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Date | Topics | Videos | Assignments |
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Jan 14, 2022 | Numerical methods for initial value problems
Lab 1: Exponential decay problem: Comparison of Euler method and backward Euler method Codes: compare_euler_methods.m |
View | |
Jan 21, 2022 | Numerical methods for solving systems of linear algebraic equations
Lab 2: Projectile motion with a linear drag: implementation of Euler, Heun, and RK4 methods |
View | Submit HW1 |
Jan 28, 2022 | Numerical methods for solving 2-point boundary value problems, finite-difference methods for elliptic PDEs | View | |
Feb 4, 2022 | Symplectic Euler method, MATLAB ODE45 function, numerical methods for solving linear systems | View | Submit HW2 |
Feb 11, 2022 | Finite-difference methods for solving parabolic and hyperbolic PDEs, finite-difference time-domain (FDTD) methods for linear wave simulation in the Cartesian coordinate system, numerical dispersion, von Neumann stability analysis, absorbing boundary conditions | View | |
Feb 18, 2022 | FD for 2D Poisson equation, finite-difference frequency-domain (FDFD) methods | View | |
Feb 25, 2022 | Finite-element methods: 1D boundary value problem, linear and nonlinear basis functions | Part 1, Part 2 | |
Mar 11, 2022 | Global and local descriptions, assembling global matrix, 1D diffusion problem | View | |
Mar 18, 2022 | 2D FEM, triangular and quadrilateral elements, MATLAB PDE Modeler | View | Submit HW3 |
Mar 25, 2022 | Fourier spectral methods | View | Submit HW4 |
Apr 1, 2022 | Chebyshev spectral methods, ray tracing, eikonal equation, upwind finite-difference method | View | |
Apr 8, 2022 | Method of characteristics, finite volume method | View | |
Apr 22, 2022 | Finite volume method (continued), computational fluid dynamics, Seibold (2008) (code) | View | |
Apr 29, 2022 | Neural networks | View | |
May 6, 2022 | Neural networks, CFD (continued) | View | |
May 20 | Project presentation |