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Date
Relevance
Potential Scenario
142
views
38
downloads
0
comments
2007-Graham-Lerch-Parameter Recovery for a Differential Equation Model
This article presents a project for a differential equations class using an inverse problem based on the second order differential equation that models and electrical circuit.
laboratory
data collection
RLC circuit
invers problem
electrical circuit
Potential Scenario
142
views
55
downloads
0
comments
2018-Adeniji-EtAl-InverseProblemHolling-TannerModel
We consider the inverse problem of parameter identification of nonlinear system of ODEs for a specific case of complete information about solution of the Holling-Tanner model for finite number of points for the finite time interval.
goal function
absolute error curves
invers method
holling-Tanner model
Potential Scenario
242
views
107
downloads
0
comments
2005-Albert_Tarantola-Inverse Problem Theory and Methods for Model Parameter Estimation
This is a bible of approaches to support parameter estimation approaches in inverse problems. Theory and algorithms are offers with examples.
Algorithm
inverse problem
inverse
Potential Scenario
151
views
77
downloads
0
comments
2016-Pennell-Avitabile-White-Engineering Applications Differential Equations
General discussion of an engineering based differential equations course with examples from RC Circuit, mass spring dashpot.
circuit
voltage
capacitor
nondimensionalization
Potential Scenario
156
views
65
downloads
0
comments
2014-Patel-Schlijper-Models of Consumer Behavior
The problem posed to the Study Group was to construct models for consumer behaviour that might be useful in tools for brand management in markets for fast-moving consumer goods.
consumer behavior
market share
Potential Scenario
132
views
40
downloads
0
comments
2002-Chai-Optimal initial angle to fire a projectile
Assume a projectile is fired without air resistance and lands at a height y above its initial vertical position. What is the optimal initial angle of firing to maximize the horizontal distance traveled by the projectile?”
optimization
projectile motion
launch angle
Modeling Scenario
558
views
406
downloads
0
comments
1-034-T-FishMixing-ModelingScenario
This activity gives students a chance to build the underlying differential equation and/or difference equation for a mixing problem using tangible objects (fish) and a student-designed restocking and fishing plan in a lake.
simulation
fish
Fishing
mixing
restocking
Potential Scenario
175
views
47
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
Potential Scenario
134
views
47
downloads
0
comments
2012-Nokkaew-EtAl-Estimation of Algae Growth Model Parameters by a Double Layer Genetic Algorithm
This paper presents a double layer genetic algorithm (DLGA) to improve performance of the information-constrained parameter estimations.
optimization
algae growth
genetic algorithms
simulated data
convergence of parameters
Potential Scenario
171
views
53
downloads
0
comments
1972-Suresh_Sethi-Optimal Control of the Vidale-Wolfe Advertising Model
This paper considers an optimal-control problem for the dynamics of the Vidale-Wolfe advertising model, the optimal control being the rate of advertising expenditure to achieve a terminal market share within specified limits.
Optimal Control Theory
advertising
sales
Modeling Scenario
220
views
324
downloads
0
comments
9-015-UnearthingTruth-ModelingScenario
This project introduces \textit{electrical resistivity tomography}, a technique of interest for geophysical imaging, used to produce images of underground features or structures by using electrical current.
geophysical
Imaging
Statistical inverse problem
tunnel
conduction
Holocaust
Vilnius
Divergence Theorem
flux
Laplace's equation
impedance
electrical resistivity tomography
tomography
resistivity
Modeling Scenario
281
views
190
downloads
0
comments
3-130-MatterOfSomeGravity-ModelingScenario
This project introduces the concept of an inverse problem (or parameter estimation), in the context of the simple linearized pendulum ordinary differential equation.
gravity
inverse problem
acceleration
Potential Scenario
165
views
44
downloads
0
comments
2015-Sivakumar-EtAl-Approximate Analytical Expression of Concentrations in a Kinetic Model for Biogas Generation from Banana Waste
The initial value problem in a kinetic model for biogas generation from banana waste is discussed. The model involves the system of non-linear differential equations which has variety of non-linear rate function.
chemical kinetics
Michaelis-Menten kinetics
anaerobic digestion
acidogenic steps
banana
methanogenic steps
wastes
Modeling Scenario
351
views
273
downloads
0
comments
3-011-EulerBallThrowing-ModelingScenario
If a tennis ball is thrown through the air it will hit the ground due to gravity. Using Euler's method, write a short script (Python, Matlab, R, etc.) to find the trajectory of the ball which will maximize the distance the ball lands from the...
coding
dragon
Vectors
Euler's method
ball
Modeling Scenario
182
views
164
downloads
0
comments
3-150-ItsABlastFurnace-ModelingScenario
This project uses the steady-state heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.
steady state
heat equation
inverse problem
furnace
Potential Scenario
131
views
48
downloads
0
comments
2007-Zenker-Rubin-Clermont-From inverse problems in mathematical physiology to quantitative differential diagnoses
The improved capacity to acquire quantitative data in a clinical setting has generally failed to improve outcomes in acutely ill patients, suggesting a need for advances in computer-supported data interpretation and decision making.
physiology
inverse problem
Modeling Scenario
450
views
222
downloads
0
comments
6-005-InsectColonySurvivalOpt-ModelingScenario
We present a system of nonlinear differential equations to model the control of energy flow into producing workers or reproducers in an insect colony, using a set of given parameters and a number of different energy functions.
optimization
Optimal Control Theory
insect colony
optimal control
natural resources
Pointryagin's Maximum Principle
control variable
Potential Scenario
164
views
51
downloads
0
comments
2017-Sim-EtAl-Optimal control of a coupled tanks system with model-reality differences
In this paper, an efficient computational approach is proposed to optimize and control a coupled tanks system.
optimal control
flow
tanks
coupled tanks
Modeling Scenario
274
views
217
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
669
views
615
downloads
0
comments
6-001-Epidemic-ModelingScenario
This paper presents real-world data, a problem statement, and discussion of a common approach to modeling that data, including student responses. In particular, we provide time-series data on the number of boys bedridden due to an outbreak of...
data
difference equations
parameter estimation
continuous
epidemic
discrete
boarding school
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