CEE262C Modeling and Simulation for Civil and Environmental Engineers
Spring 2007-2008
Course details
Instructor: Oliver Fringer
Email: fringer@stanford.edu
Office hours: Yang and Yamazaki Environment and Energy Building (Y2E2),
Room 187, time TBA
TA: Vivien Chua
Email: vchua@stanford.edu
Office hours: TBA
Course web page: fluid.stanford.edu/~fringer/teaching/cee262c
Lectures: 10:30-11:50 TTh
TA Session: Mondays, 1:15-3:05pm, Terman 152
Grading
4 Assignments: 60% (late assignments are not accepted)
Final project: 40% (final presentation)
Final Project
The final project will be assigned mid-quarter and will account for 40% of your course
grade. You may work alone or in groups of 2 on a project in which you develop a model
to simulate a topic of your choosing.
References (all on reserve in engineering library; italic titles are used most often):
Dym, C. L (2004) Principles of Mathematical Modeling, ed. 2, Elsevier.
Kreyszig, E. (1999) Advanced Engineering Mathematics, ed. 8, Wiley.
Meyer, W. J. (1984) Concepts of Mathematical Modeling, Dover.
Moin, P. (2001), Fundamentals of Engineering Numerical Analysis, Cambridge.
Mooney, D., and R. Swift (1999), A Course in Mathematical Modeling, MAA.
Nazaroff, W. W., and L. Alvarez-Cohen (2001), Environmental Engineering Science,
Wiley.
Nelson, B. L (2002) Stochastic Modelling, Dover.
Computer Software
Matlab can be accessed on the CEE lab machines or from stanford machines that can be
accessed with your sunet id.
Tentative Calendar
CEE262C Spring 2007-2008
Part I: Deterministic ODEs
Tue Apr 1:
Lecture 1: Overview and dimensional analysis of ODEs
Assignment 1: Out
Thu Apr 3:
Lecture 2: Nonlinear ODEs and phase diagrams
Tue Apr 8:
Thu Apr 10:
Lecture 3: Predator prey
Lecture 4: Phase line analysis and NPZ models
Tue Apr 15:
Lecture 5: Numerical methods for ODEs I
Assignment 1: In, Assignment 2: Out
Lecture 6: Numerical methods for ODEs II
Thu Apr 17:
Tue Apr 22:
Thu Apr 24:
Lecture 7: Eigenvalue and boundary value problems
Final project guidelines Out.
Lecture 8: Continued...
Part II: Stochastic processes
Tue Apr 29: Lecture 9: Review of probability and statistics
Assignment 2: In, Assignment 3: Out
Thu May 1: Lecture 10: Discrete stochasticity: Markov chains
Tue May 6:
Thu May 8:
Lecture 11: Continuous stochasticity: Poisson process
Lecture 12: Single-server queue
Final project proposals due.
Tue May 13: Lecture 13: Continued...
Assignment 3: In, Assignment 4: Out
Thu May 15: Lecture 14: Traffic flow and population growth
Part III: Deterministic PDEs
Tue May 20: Lecture 15: Wave modeling I
Thu May 22: Lecture 16: Wave modeling II
Tue May 27: Lecture 17: Transport modeling
Assignment 4: In
Thu May 29: Lecture 18: Advection-diffusion I
Tue Jun 3:
Lecture 19: Advection-diffusion II
Wed Jun 4: Last day of class
Jun 6-Jun 11 Finals period (Fri-Wed)
Final presentations will be held during the scheduled exam
time for CEE262C.