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Views
Date
Relevance
Potential Scenario
129
views
54
downloads
0
comments
2011-W_Wood-Squigonometry
The differential equations used to define a unit circle, namely x’(t) = - y(t), y’(t) = (t), x(0) = 1, y(0) = 0 are generalized to produce interesting functions which satisfy trig like identities.
Trigonometric Functions
circle
squigonometry
inverse function
trigonmetry
Potential Scenario
129
views
29
downloads
0
comments
2011-W_Wood-Squigonometry
The differential equations used to define a unit circle, namely x’(t) = - y(t), y’(t) = x(t), x(0) = 1, y(0) = 0 are generalized to produce interesting functions which satisfy trig like identities.
Trigonometry
Trigonometric Functions
parametric equations
circle
sine
cosine
squigonometry
inverse function
Potential Scenario
126
views
54
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
194
views
90
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
112
views
28
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
Potential Scenario
137
views
43
downloads
0
comments
2000-Idels-Wang-Harvesting Fisheries Management Strategies With Modified Effort Function
This study concludes that a control parameter beta (the magnitude of the effect of the fish population size on the fishing effort function E), changes not only the rate at which the population goes to equilibrium, but also the equilibrium values.
sustainability
fish
Fishing
management
harvest
fisher
strategy
overfishing
Technique Narrative
706
views
144
downloads
0
comments
7-006-LaplaceTransformBirth-TechniqueNarrative
We present a way of introducing the Laplace Transform as the continuous analogue of a power series expression of a function.
Transformations
power series
Potential Scenario
114
views
35
downloads
0
comments
2009-Martinez-Luaces-Modelling Applications Inverse Modelling
The discussion in this paper will deal with non-typical inverse problems and how they can be used in engineering courses.
Laplace transform
inverse problem
tank
mixing
inverse
Modeling Scenario
264
views
200
downloads
0
comments
7-010-MultipleDoses-ModelingScenario
Two multiple dose drug administration regimens are offered. A drug is to maintain a certain level (above a set minimum and below a set maximum) in the blood stream and one regimen involves bolus injections and another involves steady drip flow...
drug discovery
step function
dose
Dirac
drug administration
inverse Laplace Transform
intraveneous
bolus
steady drip
Potential Scenario
109
views
29
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
Modeling Scenario
236
views
116
downloads
0
comments
3-026-SpringInverseProblem-ModelingScenario
We are given data on the position of a mass in an oscillating spring mass system and we seek to discover approaches to estimating an unknown parameter.
data
mass
inverse problem
spring\
parameter estimate
Modeling Scenario
202
views
214
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
Technique Narrative
412
views
96
downloads
0
comments
7-005-OverViewLaplaceTransforms-TechniqueNarrative
This is a specialized overview of Laplace Transform application to solving differential equations in Mathematica.
integration
Laplace transform
Inverse Laplace transofrm
integration by parts
Modeling Scenario
232
views
147
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
Modeling Scenario
156
views
135
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
122
views
16
downloads
0
comments
2008-Duran-Caginalp-Parameter optimization for differential equations in asset price forecasting
The optimization procedure is used in conjunction with daily market prices (MPs) and net asset values to determine the parameters for which the AFDE yield the best fit for the previous n days.
finance
inverse problem
numerical nonlinear optimization
asset flow
financial market dynamics
market return prediction algorithm
Modeling Scenario
321
views
266
downloads
0
comments
7-040-TankInterruptMixing-ModelingScenario
We present a first order differential equation model for the interrupted mixing of a tank with salt water. We offer two solution strategies (1) two step approach and (2) Laplace Transforms.
Laplace transform
inverse Laplace Transform
salt
tank
mixing
interrupt
Modeling Scenario
174
views
168
downloads
0
comments
4-036-AltitudeDependentGravity-ModelingScenario
When projectiles are way above Earth's surface gravity's changes become important when dealing with projectiles at high altitudes. We lay out an approach for such a case which is a second-order differential equation.
a
gravity
projectile
linearization
ltitufe
altitude
Modeling Scenario
257
views
100
downloads
0
comments
5-036-HalfCarVibration-ModelingScenario
Vibration vehicle models provide an opportunity to integrate vehicle-based vibrations into a mechanical engineering vibrations course. The project is on a multiple-degree-of-freedom (MDOF) including pitch and bounce of vehicle body on suspension...
vibration
vehicle
half-car model
finite element analysis
shock absorbers
suspension
Potential Scenario
100
views
34
downloads
0
comments
2008-Luis_San_Andrés-Dynamic Response of Second Order Mechanical Systems with Viscous Response Forces
Walk through the cases in context of second order linear constant coefficient differential equation with driving function
driving function
viscous
mechanical system
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