# Applied Mathematics Commons™

## All Articles in Applied Mathematics

4,724 full-text articles. Page 5 of 150.

Developments In Multivariate Post Quantum Cryptography., 2018 University of Louisville

#### Developments In Multivariate Post Quantum Cryptography., Jeremy Robert Vates

##### Electronic Theses and Dissertations

Ever since Shor's algorithm was introduced in 1994, cryptographers have been working to develop cryptosystems that can resist known quantum computer attacks. This push for quantum attack resistant schemes is known as post quantum cryptography. Specifically, my contributions to post quantum cryptography has been to the family of schemes known as Multivariate Public Key Cryptography (MPKC), which is a very attractive candidate for digital signature standardization in the post quantum collective for a wide variety of applications. In this document I will be providing all necessary background to fully understand MPKC and post quantum cryptography as a whole. Then ...

2018 University of Louisville

#### Evaluation Of Drug-Loaded Gold Nanoparticle Cytotoxicity As A Function Of Tumor Tissue Heterogeneity., Hunter Allan Miller

##### Electronic Theses and Dissertations

The inherent heterogeneity of tumor tissue presents a major challenge to nanoparticle-medicated drug delivery. This heterogeneity spans from the molecular to the cellular (cell types) and to the tissue (vasculature, extra-cellular matrix) scales. Here we employ computational modeling to evaluate therapeutic response as a function of vascular-induced tumor tissue heterogeneity. Using data with three-layered gold nanoparticles loaded with cisplatin, nanotherapy is simulated with different levels of tissue heterogeneity, and the treatment response is measured in terms of tumor regression. The results show that tumor vascular density non-trivially influences the nanoparticle uptake and washout, and the associated tissue response. The drug ...

2018 University of Louisville

#### Information Theoretic Thresholding Techniques Based On Particle Swarm Optimization., Surina Surina

##### Electronic Theses and Dissertations

In this dissertation, we discuss multi-level image thresholding techniques based on information theoretic entropies. In order to apply the correlation information of neighboring pixels of an image to obtain better segmentation results, we propose several multi-level thresholding models by using Gray-Level & Local-Average histogram (GLLA) and Gray-Level & Local-Variance histogram (GLLV). Firstly, a RGB color image thresholding model based on GLLA histogram and Tsallis-Havrda-Charv'at entropy is discussed. We validate the multi-level thresholding criterion function by using mathematical induction. For each component image, we assign the mean value from each thresholded class to obtain three segmented component images independently. Then we obtain ...

Generalized Additive Runge-Kutta Methods For Stiff Odes, 2018 University of Iowa

#### Generalized Additive Runge-Kutta Methods For Stiff Odes, Gregory Mark Tanner

##### Theses and Dissertations

In many applications, ordinary differential equations can be additively partitioned

\[y'=f(y)=\sum_{m=1}^{N}\f{}{m}(y).]

It can be advantageous to discriminate between the different parts of the right-hand side according to stiffness, nonlinearity, evaluation cost, etc. In 2015, Sandu and G\"{u}nther \cite{sandu2015gark} introduced Generalized Additive Runge-Kutta (GARK) methods which are given by

\begin{eqnarray*}

Y_{i}^{\{q\}} & = & y_{n}+h\sum_{m=1}^{N}\sum_{j=1}^{s^{\{m\}}}a_{i,j}^{\{q,m\}}f^{\{m\}}\left(Y_{j}^{\{m\}}\right)\\

& & \text{for } i=1,\dots,s^{\{q\}},\,q=1,\dots,N ...

Full Field Computing For Elastic Pulse Dispersion In Inhomogeneous Bars, 2018 Tallinn University of Technology

#### Full Field Computing For Elastic Pulse Dispersion In Inhomogeneous Bars, A. Berezovski, R. Kolman, M. Berezovski, D. Gabriel, V. Adamek

##### Publications

In the paper, the finite element method and the finite volume method are used in parallel for the simulation of a pulse propagation in periodically layered composites beyond the validity of homogenization methods. The direct numerical integration of a pulse propagation demonstrates dispersion effects and dynamic stress redistribution in physical space on example of a one-dimensional layered bar. Results of numerical simulations are compared with analytical solution constructed specifically for the considered problem. Analytical solution as well as numerical computations show the strong influence of the composition of constituents on the dispersion of a pulse in a heterogeneous bar and ...

New Mechanism For Accelerated Removal Of Excess Radiogenic Heat, 2018 Creation Research Society

#### New Mechanism For Accelerated Removal Of Excess Radiogenic Heat, Russell Humphreys

##### The Proceedings of the International Conference on Creationism

In a technical paper (Humphreys, 2014), I presented Biblical and scientific evidence that (a) space is a physical material that we do not perceive, (b) this fabric of space, and objects within it, are thin in a 4th spatial direction we do not ordinarily perceive, and (c) the fabric is surrounded by a hyperspace of four spatial dimensions. End note 27 of the paper explained that light emitted by objects within the fabric ordinarily would be constrained to travel entirely within the fabric. The end note also proposed that under certain extraordinary conditions the Bible calls the opening of the ...

Finite Element Analysis Of Large Body Deformation Induced By A Catastrophic Near Impact Event, 2018 Mississippi State University

#### Finite Element Analysis Of Large Body Deformation Induced By A Catastrophic Near Impact Event, Denver W. Seely, Andrew Bowman, Heechen Cho, Mark Horstemeyer

##### The Proceedings of the International Conference on Creationism

Finite element simulations of near impacts of terrestrial bodies are presented to investigate possible deformation behavior induced by a massive body during the creation week and/or Genesis Flood. Using the universal law of gravitation, a gravitationally loaded objected is subjected to the ‘pull’ of a near passing fly-by object, and the resulting surface deformations are studied. An Internal State Variable (ISV) pressure dependent plasticity model for silicate rocks (Cho et al., 2018) is used to model the deformation behavior and to capture the history effects involved during the complex surface loading/unloading found in a near impact event. The ...

On Some Ergodic Impulse Control Problems With Constraint, 2018 Wayne State University

#### On Some Ergodic Impulse Control Problems With Constraint, J. L. Menaldi, Maurice Robin

##### Mathematics Faculty Research Publications

This paper studies the impulse control of a general Markov process under the average (or ergodic) cost when the impulse instants are restricted to be the arrival times of an exogenous process, and this restriction is referred to as a constraint. A detailed setting is described, a characterization of the optimal cost is obtained as a solution of an HJB equation, and an optimal impulse control is identified.

2018 Michigan State University

#### Calculus Of The Impossible: Review Of The Improbability Principle (2014) By David Hand And The Logic Of Miracles (2018) By Lásló Mérő, Samuel L. Tunstall

##### Numeracy

David J. Hand. 2014. The Improbability Principle: Why Coincidences, Miracles, and Rare Events Happen Every Day (New York, NY: Scientific American/Farrar, Straus and Giroux) 288 pp. ISBN: 978-0374175344.

Lásló Mérő. 2018. The Logic of Miracles: Making Sense of Rare, Really Rare, and Impossibly Rare Events (New Haven, CT: Yale University Press) 288 pp. ISBN: 978-0300224153.

David Hand and Lásló Mérő both grapple with the occurrence of seemingly impossible events in these two popular science books. In this comparative review, I describe the two books, and explain why I prefer Hand's treatment of the impossible.

Curve Tracking Control Under State Constraints And Uncertainties, 2018 Louisiana State University

#### Curve Tracking Control Under State Constraints And Uncertainties, Robert Kelly Sizemore

##### LSU Doctoral Dissertations

We study a class of steering control problems for free-moving particles tracking a curve in the plane and also in a three-dimensional environment, which are central problems in robotics. In the two-dimensional case, we provide adaptive controllers for curve tracking under unknown curvatures and control uncertainty. The system dynamics include a nonlinear dependence on the curvature, and are coupled with an estimator for the unknown curvature to form the augmented error dynamics. This nonlinear dependence puts our curvature identification objective outside the scope of existing adaptive tracking and parameter identification results that were limited to cases where the unknown parameters ...

2018 Old Dominion University

#### Extended Poisson Models For Count Data With Inflated Frequencies, Monika Arora

##### Mathematics & Statistics Theses & Dissertations

Count data often exhibits inflated counts for zero. There are numerous papers in the literature that show how to fit Poisson regression models that account for the zero inflation. However, in many situations the frequencies of zero and of some other value k tends to be higher than the Poisson model can fit appropriately. Recently, Sheth-Chandra (2011), Lin and Tsai (2012) introduced a mixture model to account for the inflated frequencies of zero and k. In this dissertation, we study basic properties of this mixture model and parameter estimation for grouped and ungrouped data. Using stochastic representation we show how ...

Non-Local Methods In Fracture Dynamics, 2018 Louisiana State University and Agricultural and Mechanical College

#### Non-Local Methods In Fracture Dynamics, Eyad Said

##### LSU Doctoral Dissertations

We first introduce a regularized model for free fracture propagation based on non-local potentials. We work within the small deformation setting and the model is developed within a state based peridynamic formulation. At each instant of the evolution we identify the softening zone where strains lie above the strength of the material. We show that deformation discontinuities associated with flaws larger than the length scale of non-locality $\delta$ can become unstable and grow. An explicit inequality is found that shows that the volume of the softening zone goes to zero linearly with the length scale of non-local interaction. This scaling ...

2018 The University of Western Ontario

#### Optimization Studies And Applications: In Retail Gasoline Market, Daero Kim

##### Electronic Thesis and Dissertation Repository

The study of the retail gasoline market is of great interest in financial economics, since it allows many theories about price formation, oligopolistic markets, and consumer search to be tested. In addition, the risk management of gasoline prices is an important instance of the management of any consumable commodity cost. For the retailer, the tool of dynamic pricing may be found to be useful.

This thesis contributes to the study of retail gasoline markets in three main ways, each in its own paper. The first paper tests various economic models to confirm earlier results about pricing behavior in retail gasoline ...

Spectra Of Quantum Trees And Orthogonal Polynomials, 2018 Louisiana State University and Agricultural and Mechanical College

#### Spectra Of Quantum Trees And Orthogonal Polynomials, Zhaoxia Wang

##### LSU Doctoral Dissertations

We investigate the spectrum of regular quantum-graph trees, where the edges are endowed with a Schr\"odinger operator with self-adjoint Robin vertex conditions. It is known that, for large eigenvalues, the Robin spectrum approaches the Neumann spectrum. In this research, we compute the lower Robin spectrum. The spectrum can be obtained from the roots of a sequence of orthogonal polynomials involving two variables. As the length of the quantum tree increases, the spectrum approaches a band-gap structure. We find that the lowest band tends to minus infinity as the Robin parameter increases, whereas the rest of the bands remain positive ...

2018 Golden Gate University School of Law

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Iteration With Stepsize Parameter And Condition Numbers For A Nonlinear Matrix Equation, 2018 Pusan National University

#### Iteration With Stepsize Parameter And Condition Numbers For A Nonlinear Matrix Equation, Syed M. Raza Shah Naqvi, Jie Meng, Hyun-Min Kim

##### Electronic Journal of Linear Algebra

In this paper, the nonlinear matrix equation $X^p+A^TXA=Q$, where $p$ is a positive integer, $A$ is an arbitrary $n\times n$ matrix, and $Q$ is a symmetric positive definite matrix, is considered. A fixed-point iteration with stepsize parameter for obtaining the symmetric positive definite solution of the matrix equation is proposed. The explicit expressions of the normwise, mixed and componentwise condition numbers are derived. Several numerical examples are presented to show the efficiency of the proposed iterative method with proper stepsize parameter and the sharpness of the three kinds of condition numbers.

Transport Phenomena In Field Effect Transistors, 2018 National Institute of Standards and Technology

#### Transport Phenomena In Field Effect Transistors, Ryan M. Evans, Arvind Balijepalli, Anthony Kearsley

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

Quantitative Electroencephalography For Detecting Concussions, 2018 University of Richmond

#### Quantitative Electroencephalography For Detecting Concussions, Sara Krehbiel, Kathy Hoke, Joanna Wares

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

2018 Louisiana State University and Agricultural and Mechanical College

#### Generation Of Nonlinear-Differential-Equations System From A Model Of Boolean Relationships In Arabidopsis Salt Stress Network, Renee Dale

##### Biology and Medicine Through Mathematics Conference

No abstract provided.

A Mathematical Model Of The Obesity Epidemic, 2018 Norfolk State University

#### A Mathematical Model Of The Obesity Epidemic, Ana L. Vivas-Barber

##### Biology and Medicine Through Mathematics Conference

No abstract provided.