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Views
Date
Relevance
Potential Scenario
246
views
108
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
137
views
37
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
Potential Scenario
148
views
56
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
149
views
40
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
276
views
169
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
Potential Scenario
135
views
51
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
288
views
195
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
187
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
141
views
24
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
308
views
125
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
Modeling Scenario
989
views
2108
downloads
0
comments
3-030-SecondOrderIntro-ModelingScenario
We outline the solution strategies involved in solving second-order, linear, constant coefficient ordinary differential equations, both homogeneous and nonhomogeneous and offer many application and modeling activities.
parameter estimation
non-homogeneous
Spanish
frequency
buoyancy
inverse problem
thrust
underdamped
first passage
spring mash dashpot
real
complex
homogeneous
superposition
parachute
overdamped
critically damped
buoy
quadratic equation
roots
rocket flight
Potential Scenario
165
views
69
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
150
views
33
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
Article or Presentation
175
views
56
downloads
0
comments
1990-Winkel_Brian-First-year_calculus_students_as_in-class_consultants
We demonstrate how we use traditional text book calculus problems to involve first year calculus students as consultants. Students are asked to solve a “real world” problem after interviewing a “guest” client –a printer.
optimization
calculus
Consultant
printer
client
Potential Scenario
180
views
53
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
Modeling Scenario
210
views
235
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
Potential Scenario
130
views
52
downloads
0
comments
1999-Meade-Struthers-Differential Equations in the New Millennium-The Parachute Problem
The parachute problem will be used to illustrate several essential features of the improved courses. In particular, it will be seen that the traditional version of the parachute problem is not very realistic.
resistance
free fall
parachute
jump
skydiving
Potential Scenario
144
views
59
downloads
0
comments
2017-Agmour-EtAl-Optimization of the Two Fishermen's Profits Exploiting Three Competing Species Where Prices Depend on Harvest
The main purpose of this work is to define the fishing effort that maximizes the profit of each fisherman, but all of them have to respect two constraints: the first one is the sustainable management of the resources and the second one is...
Fishing
harvest
Nash equilibrium
optimize
profits
Potential Scenario
156
views
54
downloads
0
comments
1994-JM_McDill-Bjorn_Felsager-The Lighter Side of Differential Equations
Although differential equations have many serious applications to the modeling of real-world problems, a few lighthearted problems can serve to motivate students and brighten their attitudes toward a computer-oriented course in differential...
cooperation
harvesting
Romeo and Juliet
love
cannibalism
overcrowding
Potential Scenario
145
views
64
downloads
0
comments
2017-Brandi-Garcia-Motivating engineering students to math classes - Practical experience teaching ODEs
In this paper we propose an approach to teaching-learning process of mathematical concepts to engineering students with a motivational factor: a practical problem to be modeled in which students must apply concepts seen in class, in particular...
computational tools
teaching
engineering students
practical problem
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