Resources of Physical Problems HNMI Mathcad Maple Mathematica Matlab Holistic Numerical Methods Institute

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Resources of Physical Problems
(Do you want to follow one of physical examples given below to learn the numerical methods? Yes)
DIFFERENTIATION
	Chemical Engineering	How quickly does the slick spread?
	Civil Engineering
	Computer Engineering	Detecting edges of images
	Electrical Engineering	Avoiding arcing in switches
	General Engineering	Finding the acceleration of a rocket from its velocity.
	Industrial Engineering
	Mechanical Engineering	How does the thermal expansion coefficient vary at different temperatures?

Nonlinear Equations
	Chemical Engineering	A scale to measure oil in a tank
	Civil Engineering	Sagging bookshelves!
	Computer Engineering	Divide unit missing in a supercomputer?
	Electrical Engineering	Checking calibration curve of a thermistor
	General Engineering	How much of the float is submerged?
	Industrial Engineering	Mom and Pop shop wants to break even
	Mechanical Engineering	Trunnion cool down for a shrink fit

Simultaneous Linear Equations
	Chemical Engineering	Liquid-Liquid extraction
	Civil Engineering	How much pressure can a compounded cylinder take?
	Computer Engineering	To infer the surface shape from images
	Electrical Engineering	Finding the unbalance in a 3-phase load system
	General Engineering	Finding the velocity profile of a rocket
	Industrial Engineering	Maximizing the production schedule
	Mechanical Engineering	Find model for thermal expansion vs temperature.

Interpolation
	Chemical Engineering	Tea time: time needed to boil the water
	Civil Engineering	Tips on bass fishing
	Computer Engineering	Short and smoothest path for a robot
	Electrical Engineering	Measuring temperature by a thermistor
	General Engineering	Predict velocity of a rocket
	Industrial Engineering	Profiling a cam
	Mechanical Engineering	Calculating the shrinkage of a trunnion correctly

Regression
	Chemical Engineering	Infrared spectroscopy
	Civil Engineering	Finding the longitudinal Young's moduli
	Computer Engineering	Extraction of road networks in images
	Electrical Engineering	Finding the appropriate value for the resistance
	General Engineering	Finding the best mousetrap for a mousetrap car
	Industrial Engineering	When should the machine be stopped?
	Mechanical Engineering	Calculating the contraction of a trunnion


Integration
	Chemical Engineering	Time required for oxygen to be consumed in the fuel cell
	Civil Engineering	Is the toxicity level of benzene dangerous?
	Computer Engineering	To infer the surfaces from vector fields
	Electrical Engineering	Confidence in acceptable circuit behavior
	General Engineering	Distance covered by a rocket
	Industrial Engineering	Are there as many plies of tissue paper in a roll?
	Mechanical Engineering	Finding the shrinkage of a trunnion?


Ordinary Differential Equations
	Chemical Engineering	Controlling sodium chloride waste while making soap.
	Civil Engineering	When is it safe to go back into the lake?
	Computer Engineering	Sizing a rectifier-based power supply
	Electrical Engineering	Sizing a rectifier-based power supply
	General Engineering	How much time will it take the ball to cool down?
	Industrial Engineering	Speed Control of DC motors
	Mechanical Engineering	Contracting a cylinder to shrink fit in to a hub


PARTIAL Differential Equations
	Chemical Engineering
	Civil Engineering
	Computer Engineering
	Electrical Engineering
	General Engineering
	Industrial Engineering	Control of a vision inspection system
	Mechanical Engineering


OPTIMIZATION
	Chemical Engineering
	Civil Engineering
	Computer Engineering
	Electrical Engineering
	General Engineering
	Industrial Engineering	Determining Order Quantity for Inventory Management
	Mechanical Engineering


FAST FOURIER TRANSFORM
	Chemical Engineering
	Civil Engineering
	Computer Engineering
	Electrical Engineering
	General Engineering
	Industrial Engineering	Seasonal Demand Forecasting
	Mechanical Engineering

Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468 and 0717624. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation. Other sponsors include Maple, MathCAD, USF, FAMU and MSOE.