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Views
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Article or Presentation
169
views
47
downloads
0
comments
2015-Brian_Winkel-Informed_Conjecturing_of_Solutions_for_Differential_Equations_In_a_Modeling_Contex
We examine (1) first order exponential growth or decay and (2) second order, linear, constant coefficient differential equations, and show the advantage of learning differential equations in a modeling context for informed conjectures of their...
exponential growth
solutions
linear systems
decay
conjecture
Modeling Scenario
204
views
178
downloads
0
comments
1-109-EmployeeAttrition-ModelingScenario
This scenario models the loss of employees and the employer's attempt to retain them through stock options. It most naturally is solved with a first-order linear decay model with two populations.
population
linear growth
decay
employee
attrition
Modeling Scenario
281
views
220
downloads
0
comments
1-035-DotseroVolcanoEruption-ModelingScenario
In this scenario, we use Carbon-14 dating of the Dotsero volcano in Colorado as a way of emphasizing this multistage process of modeling.
exponential decay
half-life
decay
Euler's method
carbon dating
decay rate
Carbon-14
Dotsero volcano
volcano
Modeling Scenario
252
views
281
downloads
0
comments
1-116-TropicalStormWindspeeds-ModelingScenario
We model the decay of tropical cyclone winds once a storm makes landfall. We use data from two recent storms from the National Hurricane Center to estimate parameters emanating from a differential equation using a first order exponential decay model.
hurricane
decay
tropical storm
cyclones
Potential Scenario
171
views
80
downloads
0
comments
2017-Ole_Witt-Hansen-Examples Of Differential Equations In Physics
This is an article from the author’s homepage. The work contains fundamental and basic background and derivation of the differential equation models for a number of phenomena.
projectile
air resistance
free fall
drag
harmonic oscillation
Modeling Scenario
255
views
269
downloads
0
comments
1-002-Tossing-ModelingScenario
We offer students simulation experience or data from a simulation and ask them to model the simulation using several approaches, to include exponential decay fit, difference equation, and differential equation.
Modeling and simulation
exponential
decay
dice
Potential Scenario
182
views
49
downloads
0
comments
2012-Transtrum-Qiu-Optimal experiment selection for parameter estimation in biological differential equation models
We explore the question to what extent parameters can be efficiently estimated by appropriate experimental selection.
experimental design
systems biology
Association & Data Fitting
reaction rates
decay rates
Modeling Scenario
364
views
162
downloads
0
comments
1-001d-HotelPopulationDecay-ModelingScenario
You will be modeling the following situation: 100 people are in a hotel. Each day, each person has a random chance of 50% of leaving the hotel. No new people enter the hotel. Before you run the simulation in MATLAB, answer some questions.
simulation
logistic
exponential decay
fitting
Modeling Scenario
257
views
320
downloads
0
comments
1-160-HeartDeathRate-ModelingScenario
Students simulate experience from a given data set which represents the heart death rate during the period 2000 - 2010 using several approaches to include exponential decay, difference equation, differential equation, and parameter estimation...
data
heart death rate
Free Online Textbook
157
views
60
downloads
0
comments
2016-Langtangen-Pedersen - Scaling of Differential Equations
Nowadays, the greatest practical benefit of scaling is related to running numerical simulations, since scaling greatly simplifies the choice of values for the input data and makes the simulations results more widely applicable.
scaling
dimensionless
continuum mechanics
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