Concepts Of Mathematical Modeling Walter Meyer Pdf

645:562 Mathematical Modeling - Fall 2019
Department of Mathematical Sciences
Rutgers University, Camden, NJ

An Introduction to Mathematical Modeling, E. A. Bender, Dover Publications, 2000.
Concepts of Mathematical Modeling, Walter J. Meyer, Dover Publications, 2004.
A Survey of Industrial Mathematics, Charles R. MacCluer, Dover Publications, 2010.

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.

DetermineQIN.m - Least-Squares fit of model to measured data.
JeepCoolingSystemProblem.m - Cooling system with thermostat problem
JeepCoolingSystemWithHeater.m - Cooling system with thermostat problem with heater.

Analysis of AMTRAK Northeast Regional Train Derailment in Philadelphia on May 12, 2015

Port Richmand, PA
Philly News: The physics of a tight railroad curve
Toppling Limit
Superelevation
J. C. Moody, "Critical Speed Analysis of Railcars and Wheelsets on Curved and Straight Track" (2014). Honors Theses. 107.
tracks.dat
PlotTracks.m
AnalyzeTracks.m

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

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).