645:562 Mathematical
Modeling
- Fall 2019
Department of Mathematical
Sciences
Rutgers University, Camden, NJ
- Textbooks:
- Class meetings:
- Wednesdays 6:00PM - 8:50PM
Room BSB-133.
- Instructor:
- Office
hours:
- Prerequisites:
- Strong background in undergraduate
mathematics.
- Knowledge of C++.
- This course is suitable for graduate
students and advanced
undergraduates.
- Course
description:
- This course will introduce concepts of
mathematical modeling through a hand-ons problem solving
approach. The students will be divided into groups for two
projects. The first project will be a competition where each
group is solving the same problem. The groups will develop a
design and submit a paper describing the design along with C++ code of
their design. The second project will be a class project where
the entire class will solve a problem working in groups but in this
project, each group is working on a different part of the bigger
problem. The groups must coordinate their efforts and integrate
the solutions to solve the main problem.
- NOTE: This will depend on course
enrollment.
- Handouts:
(PDF Format)
- C++
Style Guide
- C++
Reference
- C++ Tutorial
- MATLAB Tutorial
- Tentative Topics:
- Introduction
- Problem-Solving
Techniques
- An automotive cooling
system.
- Analysis
of AMTRAK Northeast Regional Train Derailment in Philadelphia on May 12,
2015
- Hurricane Modeling
- Saffir-Simpson Scale
- Rankine Vortex
- G.
J. Holland, An Analytic Model of the Wind and Pressure Profiles in
Hurricanes, Monthly Weather Review, 108, pp. 1212–1218, 1980.
- G.
J. Holland, J.I. Belanger, and A. Fritz, A Revised Model for Radial
Profiles of Hurricane Winds, Monthly Weather Review, 138, pp.
4393–4401, 2010.
- C.
Jeong, V. Panchang, and Z. Demirbilek, Parametric Adjustments to the
Rankine Vortex Wind Model for Gulf of Mexico Hurricanes, ASME Journal
of Offshore Mechanics and Arctic Engineering, 134(4),
041102-1--041102-17, 2012.
- CompareHurricaneModels.m
- ComputeRankineVortexModelSpeed.m
- ComputeHolland1980ModelSpeed.m
- ComputeSLOSHModelSpeed.m
- Holland1980Figure2.m
- Laser Heating of Metal
- K.-C.
Lee, K.-H. Kim, Ki-hong and J. J. Yoh, "Modeling of high energy laser
ignition of energetic materials", Journal of Applied Physics, 103,
083536-1--083536-6, (2008).
- C.
D. Boley and A. M. Rubenchik, "Modeling of high-energy pulsed
laser
interactions with coupons," LLNL Technical Report No.
UCRL-ID-151857, 2003.
- F.
F. Mustafa, Heating and Melting Model Induced by Laser Beam in Solid
Material,
Al-Khwarizmi Engineering Journal, Vol. 4, No. 3, pp.
98-107, (2008).
- First Class: 9/4/2019
- No class
Wednesday 11/27/2019
- Last Class: 12/11/2019
Last Revised: 11:24 PM 11/8/2019