SCPY672 Geophysical Forward Modeling and Inversion
Instructor : Chaiwoot Boonyasiriwat (email@example.com) Class Hours : Monday (3:00PM-4:30PM), Thursday (2:30PM-4:00PM) Classroom : Computer Lab Objectives : Learn how to numerically solve PDEs, and estimate medium physical properties related to geophysical problems Grading : Homework 30, Participation 10, Midterm Exam 30, Final Exam 30 Policies - each homework (report and codes) must be submitted electronically to firstname.lastname@example.org
- each homework is due in one week
- homework submitted after the due date will not be graded
- each homework has 10 points
- copying homework of others will result in a zero point
Tentative Course Schedule
Lecture Date Lecture Notes Notifications 1 Jan 25, 2016 Class orientation, PDEs and integral equations, overview of relevant mathematical methods, introduction to Fortran programming, OpenGL Redbook codes, introduction to symplectic integration HW1: Solving the Lotka-Volterra model using explicit, implicit, and symplectic Euler methods, MATLAB files 2 Jan 28, 2016 Symplec Euler method and the derivation of Stromer-Verlet method (staggered-grid method) 3 Feb 1, 2016 Computing the Earth magnetic field from a magnetic dipole, Finite difference (FD) approximation HW2: Earth magnetic field and charged particle motion 4 Feb 4, 2016 Finite-difference solutions to Laplace, Poisson, and diffusion equations; implicit finite difference methods HW3: Solving the 2D diffusion equation using Crank-Nicolson method 5 Feb 8, 2016 Direct methods and iterative methods for solving linear systems HW4: Solving a linear system using steepest descent and conjugate gradient methods 6 Feb 11, 2016 Simulation of acoustic wave propagation using explicit FD method: regular and staggered grids 7 Feb 15, 2016 von Neumann stability analysis for an explicit scheme 8 Feb 18, 2016 Absorbing boundary conditions (ABC) and layers (ABL): Clayton-Engquist (CE) ABC, sponge ABL, perfectly matched layer (PML), hybrid methods 9 Feb 25, 2016 Frequency-domain waveform modeling, Simulation of elastic and electromagnetic wave propagation - 10 Feb 29, 2016 EM and modeling of dipole antenna 11 Mar 3, 2016 Adaptive mesh refinement, code Berger and Oliger (1984) 12 Mar 7, 2016 Introduction to finite volume method 13 Mar 10, 2016 Finite volume method (continued) - 14 Mar 21, 2016 Finite volume method (continued) 15 Mar 23, 2016 Finite volume method (continued) - 16 Apr 4, 2016 Grid generation Read Persson and Strang (2004) 17 Apr 4, 2016 Grid generation (continued) - 18 Apr 18, 2016 Artificial neural network 19 Apr 18, 2016 Artificial neural network (continued) - 20 Apr 20, 2016 Eikonal solver 21 Apr 20, 2016 Eikonal solver (continued) - 22 Apr 25, 2016 Fourier spectral method 23 Apr 25, 2016 Chebyshev spectral methods - 24 Apr 27, 2016 Introduction to finite element (FE) method and weighted residual method, FE solution to a 1D steady-state problem, Element point of view in 1D FEM, higher-order FEM, 1D time-dependent problems 25 Apr 27, 2016 FE solution to a 2D steady-state problem, 2D finite element method (continued) - 26 May 4, 2016 TBA 27 May 4, 2016 TBA -
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- MIT Open Courseware: Numerical methods for partial differential equations
- Numerical methods for PDEs