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MAHIDOL UNIVERSITY CENTER FOR SCIENTIFIC COMPUTING

SCPY 404/574 Numerical Methods for Differential Equations


InstructorChaiwoot Boonyasiriwat
Class HoursFriday, 9.00AM - 12.00PM
AssessmentHomework 60%, Project 40%
Slides
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Tentative Course Schedule

Date Topics Videos Assignments
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
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
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

References

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