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Downloads
Views
Date
Relevance
Modeling Scenario
243
views
103
downloads
0
comments
4-065-GasInjection-ModelingScenario
Students use programs (or create their own code) based on exponential box-scheme approximations for solving systems of nonlinear differential equations that contain small parameters for the highest derivative terms or singularities in boundary...
Prandtl-Blasius equations
boundary layer
gas injection
esponential box scheme
uniform convergence
FORTRAN
Technique Narrative
869
views
229
downloads
0
comments
5-010-MatrixExponential-TechniqueNarrative
The matrix exponential is a powerful computational and conceptual tool for analyzing systems of linear, constant coefficient, ordinary differential equations (ODE's). This narrative offers a quick introduction to the technique, with examples and...
matrix esponential
Putzer's Algorithm
diagonalization
eigenvalues
eigenvectors
Potential Scenario
114
views
43
downloads
0
comments
2001-Edwards-Buckmire-A differential equation model of North American cinematic box-office dynamics
A new mathematical model is presented for the box-office dynamics of a motion picture released in North America.
cinema
movies
box-office
Modeling Scenario
291
views
195
downloads
0
comments
3-055-FloatingBox-ModelingScenario
In this scenario, we lead students through the process of building a mathematical model for a floating rectangular box that is bobbing up and down.
oscillation
Archimedes’ Principle
buoancy
oscillatory motion
Newton's Second Law
Potential Scenario
118
views
51
downloads
0
comments
1987-Claude-Marmasse-Studies on differential equations of enzyme kinetics-Biomolecular scheme
The integral curve is compared with the solutions given by the two classical approximations to the problem: it is shown that the steady-state approximation is to be preferred to the rapid equilibrium theory as a general method.
steady-state model
isoclines
enzyme kinetics
Potential Scenario
151
views
54
downloads
0
comments
2009-James_May-Nonlinear vibration control of long flexible structures
An automated, non-linear control scheme was developed to transfer energy from the fundamental vibration mode, where most vibration energy of the structures of interest resides, to higher order modes where vibration impedance was shown to be...
vibration
damping
tuned mass damper
viscous
nodal
model damping
flexible structure
energy transfer
Modeling Scenario
250
views
183
downloads
0
comments
1-064-TorricelliBox-ModelingScenario
The time it takes a column of water to empty and the time it takes the same volume of column of water with a box (various sizes) submerged in the column of water are compared through modeling with Torricelli's Law.
groundwater flow
column of water
Torricelli's Law
water displacement
submerged box
Potential Scenario
196
views
70
downloads
0
comments
2015-Valerie_Billard-Pharmacokinetic-pharmacodynamic relationship of anesthetic drugs - from modeling to clinical use
The purpose of this short review is to describe the basis of pharmacokinetics and modeling, the concentration-effects relationship, and drug interactions modeling to offer to anesthesiologists and non-anesthesiologists an overview of the rules to...
anesthesia
pharmacokinetics
pharmacodynamic
anesthetic
Modeling Scenario
328
views
186
downloads
0
comments
1-005B-ChemDataCollection-ModelingScenario
A chemistry graduate student is collecting data on a chemical reaction and does a poor job of collecting the data. Indeed, he only collects the data at the start and end of a number of three minute intervals and does not note the times.
kinetics
laboratory
order of reaction
chemical reaction
chemical data
infusion
Potential Scenario
169
views
47
downloads
0
comments
2006-Matt_MacWilliams-Developing ODEs to Describe the Motion of a Paper Helicopter
This paper attempts to create a model that describes the motion of a paper helicopter using engineering, physical and statistical knowledge.
experimental design
helicopter
Potential Scenario
242
views
99
downloads
0
comments
2017-Chávez-EtAl-Modeling and Analysis of Integrated Pest Control Strategies via Impulsive Differential Equations
The paper is concerned with the development and numerical analysis of mathematical models used to describe complex biological systems in the framework of Integrated Pest Management (IPM).
bifurcations
chaos
impulsive model
limit cycles
hysteretic effects
period-doubling cascades
Potential Scenario
121
views
53
downloads
0
comments
2008-Brewer-EtAl-Fitting ordinary differential equations to short time course data
In this paper, we present a survey of existing algorithms and describe the main approaches. We also introduce and evaluate a new efficient technique for estimating ODEs linear in parameters particularly suited to situations where noise levels are...
time series
Evaluation SPLINE
gene
least squares
bifurcation
Modeling Scenario
200
views
147
downloads
0
comments
9-030-WaterHammer-ModelingScenario
We develop and apply a numerical algorithm that solves a system of two nonlinear partial differential equations (PDEs) that describes the time evolution of the water hammer phenomenon.
Stock and Flow model
hyperbolic equations
finite differences
water hammer
hydrodynamics
compressibility
wave celerity
Modeling Scenario
224
views
256
downloads
0
comments
3-069-HeatInBar-ModelingScenario
The temperature distribution along a uniform slender bar due to conduction and convection is investigated through experimental, analytical, and numerical approaches.
heat transfer
experiment
conduction
convection
boundary conditions
finite volume method
Potential Scenario
138
views
73
downloads
0
comments
2016-Erno_Keszei-Chemical Kinetics for Beginners
The most important goal of kinetic research is the identification and characterisation of elementary molecular events which make possible the transformation of reactants into products.
kinetics
zeroth order reaction
first order reaction
second order reaction
reaction rates
third order reaction
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