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Mathematics

Colloquia 2021-22

The department colloquia will be held nearly every Tuesday (except holidays) throughout the fall semester. Check back to this site for more information. Events are held at 3:35 p.m. in SC 323. Refreshments are served in SC 313F beginning at 3:15 p.m. unless otherwise noted. All are invited to attend.

Graduate Students: The mathematics colloquium is a valuable resource and you should make every effort to attend regularly.

For more detailed information, or if you wish to give a talk, please contact Youssef Raffoul. >>

Spring 2022

Jan. 27: Anataska Dobreva, Arizona State University

Note: Presentation will take place over Zoom. Please contact the Math Department for Zoom information.

Title: Studying vision and immune processes with mathematical modeling

Abstract: This talk will consist of two main parts, showcasing my work in applying mathematics in retina and immunology research. Photoreceptors, rods and cones are the cells of the eye responsible for vision. Photoreceptors mainly use glucose to create energy and to renew their light-absorbing outer segments (OS). In the first part of the talk, I will present the development and analysis of the first mathematical model for the metabolic dynamics of a cone that accounts for energy generation from external lactate and fatty acids oxidation of OS. With multiple parameter bifurcation analysis, we investigate how interactions among key mechanisms affect the cone’s metabolic vitality under glucose shortage, and with in-silico experiments we explore the possibility for recovery. Time-varying global sensitivity analysis is applied for both normal and nutrient stress conditions to assess in each case the dynamic impact of different processes to the model outputs of interest. Our work provides insight into the role of metabolites under glucose starvation conditions, which may elucidate pathways and disruptions resulting in degenerative retinal diseases such as age-related macular degeneration and retinitis pigmentosa whose progression has been linked to glucose deprivation and disruptions in cellular metabolism. In the second part of the talk, I will present my work on developing and analyzing the first mathematical models for the autoimmune hair loss disease alopecia areata (AA). In AA, the immune system attacks hair follicles and disrupts their natural cycle through phases of growth, regression, and rest. The disease manifests with distinct hair loss patterns, and what causes it and how to treat it are open questions. I will first present our ODE model for AA in follicles in stage of growth. Next, I will explain how we incorporate follicle cycling into the model and explore what processes have the greatest impact on the duration of hair growth in healthy versus diseased follicles. Finally, I will highlight the global and marginal linear stability analysis results from our PDE model, which captures the patterns that characterize hair loss in AA.


Jan. 25: Kelly Buch, University of Tennessee, Knoxville

Note: Presentation will take place over Zoom. Please contact the Math Department for Zoom information.

Title: Multi-Disciplinary Research at the Interface of Mathematics and Biology

Abstract: Mathematical models of real-life situations are powerful tools that can be used in a variety of disciplines when research questions cannot be answered with experiments or field study alone. The process of creating and interpreting mathematical models of real-world systems is a multi-disciplinary effort. It requires collaboration across disciplines in all steps: translating relevant information about the system into mathematical objects, performing mathematical analysis on the model, and translating the results of the analysis back into the original discipline. As a mathematical modeler, I love this translation process and I collaborate with scientists to model biological phenomena. In this talk, I will present two of my recent multi-disciplinary modeling projects to display both my approach to mathematical modeling and the breadth of applications I’m interested in. In both projects, I will highlight model development of the model and the utility of model analysis in the application discipline. We will begin with an application in ecology, introducing a mathematical model for vector-borne tree diseases and interpret it to make recommendations for wildlife managers attempting to eradicate such diseases. We will also discuss an application in physiology, introducing a mathematical model for Reactive Scope, a conceptual framework for the long-term impacts of short-term stress responses. While in its infancy, this modeling approach shows promise in its ability to produce testable outcomes to advance experimental physiology.


Jan. 20: Kyle Helfrich, Ohio Wesleyan University

Note: Presentation will take place over Zoom. Please contact the Math Department for Zoom information.

Title: Orthogonal Recurrent Neural Networks and Batch Normalization in Deep Neural Networks

Abstract: Despite the recent success of various machine learning techniques, there are still numerous obstacles that must be overcome. One obstacle is known as the vanishing/exploding gradient problem. This problem refers to gradients that either become zero or unbounded. This is a well-known problem that commonly occurs in Recurrent Neural Networks (RNNs). In this talk, we will describe how this problem can be mitigated, establish three different architectures that are designed to avoid this issue and derive update schemes for each architecture. Another portion of this talk will focus on the often used technique of batch normalization. Although found to be successful in decreasing training times and in preventing overfitting, it is still unknown why this technique works. 


Feb. 1: Sougata Dhar, University of Connecticut

Note: Presentation will take place over Zoom. Please contact the Math Department for Zoom information.

Title: Lyapunov-type inequalities for third-order linear and half-linear difference equations and extensions

Abstract: In this talk, we will focus on the Lyapunov-type inequalities for third-order difference equations, the discreet version of differential equations. Unlike their counterparts, these inequalities for difference equations were limited only to even-order cases prior to this work. The resulting inequalities utilize positive and negative parts of a function rather than the traditional absolute value of the function. We first discuss the linear case and then establish the subsequent results for the quasilinear case. In this process, we introduce a new approach to tackle these inequalities as the techniques for even order difference equations are not applicable to odd order difference equations. Moreover, we will discuss a few additional results for linear difference equations as which are further extended to more general linear equations. We will conclude after a brief discussion for the third order backward difference equations and dynamic equations on time scales.


Feb. 3: Sabrina Streipert, McMaster University

Note: Presentation will take place over Zoom. Please contact the Math Department for Zoom information.

Title: Discrete Delay Population Models

Abstract: The continuous Hutchinson model is a delay logistic growth model, where a delay was introduced in the per-capita growth rate. Despite its popularity, this delay differential equation exhibits some questionable behavior as the population persists independent of the delay. One of its discretizations, the so-called Pielou model, can be criticized for the same reason. To formulate an alternative discrete delay population model of logistic growth, we first distinguish the growth and decline processes before introducing a delay solely in the growth term. The obtained model differs from existing discrete delay population models and exhibits realistic behaviour. If the delay exceeds a certain critical threshold, then the population goes extinct. On the other hand, if the delay is below that threshold, then the population survives and converges to a positive asymptotically stable equilibrium that decreases as the delay increases. As the next step toward extending our discrete delay population model to interacting species, we derived a discrete predator-prey model without delay. The analysis of this predator-prey model led us to the formulation of a discrete phase plane approach that has been deemed ineffective for planar maps. By considering the direction field, the corresponding nullclines, and our “next iterate root curves associated with the nullclines”, the global dynamics of the discrete predator-prey model are discussed.


Feb. 8: Yulong Li, University of Nevada, Reno

Note: Presentation will take place over Zoom. Please contact the Math Department for Zoom information.

Title: Hello, fractional ODEs!

Abstract: The fractional-order ordinary differential equations (in short, fractional ODEs)  may be considered an old and yet novel topic, which is an emerging interdiscipline that is intertwined with fractional-order calculus, fractional power operators, modeling, singular integral equations and special functions. In this presentation, we will:

  1. Introduce some open problems arising from the subject of fractional ODEs and use the double-sided fractional diffusion-advection reaction ordinary differential equation as the main example to present our recent accomplishments toward those open questions.
  2. Illustrate how fractional ODEs can attract collaborations from faculties who are doing classic ODEs, numerical analysis, integral equations and how it can produce many interesting research projects for our undergraduate and graduate students.

Fall 2021

Sept. 28: Dr. Ayse Sahin, Wright State University. More details >

Sept. 21: Dr. Paul Eloe, University of Dayton. More details >


Nov. 9: Dr. Sam Brensinger, University of Dayton. More details >

Nov. 16: Jonah Reeger, Senior Research Mathematician with AFRL. More details >


Past Colloquia Events

Spring 2020

APRIL

April 30: Yaoxing Yong and Adja Ba, University of Dayton. More details >

April 23: John Luebking and Christina Farwick, University of Dayton. More details >

FEBRUARY

Feb. 11: Dr. Shixu Meng, Department of Mathematics, University of Michigan. Wave Propagation and Inverse Problems. More details >

Feb. 6: Dr. Katelyn Leisman, J.L. Doob Research Assistant Professor, University of Illinois. The Abnormally Normal Behavior of the Nonlinear Schrödinger Equation. More details >

JANUARY

Jan. 28: Dr. Jacob Shapiro, Australian National University. Decay of waves in rough media. More details >

Fall 2019

DECEMBER

Dec. 5: Mona Almutari, University of Dayton. The existence of a unique solution of a Caputo fractional differential equation. Wenfeng Wu, University of Dayton. A Computational Study of Option Pricing Models. More details >

NOVEMBER

Nov. 21: Jace Robinson, Tenet3. The need for strategic cyber systems analysis. More details >

Nov. 14: Ben Linowitz, Oberlin College. Can you hear the shape of a drum? More details >

Nov. 7: Paul Eloe, University of Dayton. Nonlinear interpolation, week 3. More details >

OCTOBER

Oct. 31: Paul Eloe, University of Dayton. More on nonlinear interpolationMore details >

Oct. 24: Paul Eloe, University of Dayton. On uniqueness of solutions implies existence of solutions More details >

Oct. 17: R. Gerald Keil, University of Dayton. Oh that’s easy, just do a transformationMore details >


Spring 2019

MARCH

March 7: Gu Wang, Worcester Polytechnic Institute. Sharing Profits in the Sharing Economy.  Abstract and more details >

March 21: Aurel Stan, Ohio State University Marion. Semi-quantum operators and Meixner random variables.  Abstract and more details >

March 28: Sarah Burke, Air Force Institute of Technology. Optimal Multi-Response Designs.  Abstract and more details >

APRIL

April 4: Abigail Kramer, University of Dayton. Numerical Solution of Coupled Diffusion Systems for Spatial Pattern Formations.  Abstract and more details >

April 11: Limin Jin, University of Dayton, A tree-based method to price European and American options with stochastic volatility or stochastic interest rate and Lijun Lin, University of Dayton, A Comparison of Numerical Solutions of the Black-Scholes Model.  Abstracts and more details >

April 25: Hind Alasmari, Stability in Volterra Integro-differential Equations, and Nouf Alsomali, A hybrid tree method using Heston-Hull-White type models, University of Dayton Abstracts and more details >

April 26 (Friday): Sean Cleary, The odd world of Thompson's groups, The City College of New York Abstract and more details >

MAY

May 1 (Wednesday): Ruiqi Wang, Analysis of Hedge Fund Crash Risk and Xichen Yan, Analysis of Mutual Funds Performance Persistence Using Alternative Performance Measurements, University of Dayton Abstracts and more details >

May 2: Johnathon Spilker, Comparison of Hidden Markov Model Algorithms and their Applications and Peter Kawiecki, Optimal Stopping in Stock Price Bubbles: an alternative method, University of Dayton Abstracts and more details >

Fall 2018

SEPTEMBER

Sept. 27: Jeffrey Neugebauer, Eastern Kentucky University. An Avery Fixed Point Theorem Applied to a Hammerstein Integral Equation.  Abstract and more details >

OCTOBER

Oct. 11: Yang Liu, Wright State University.  Abstract and more details >

NOVEMBER

Nov. 1: Anup R. Lamichhane, Ohio Northern University.  Abstract and more details >

Nov. 6: Pinju Lee, University of Dayton. Portfolio Formation, Crash Risk and Stock Synchronicity.  Abstract and more details >

Nov. 8: Youssef Raffoul, University of Dayton. Stability And Boundedness In Nonlinear Neutral Differential Equations using New Variation of Parameters Formula And Fixed Point Theory.  Abstract and more details >

Nov. 15: Valentin Deaconu, University of Nevada, Reno. Crossed product correspondences and applications.  Abstract and more details >

Nov. 29: Didier Hirwantwari (Bootstrapping Transfer Function Models) and Ebtsam Alrasheedi (Applications of fixed point theorems to boundary value problems at resonance), University of Dayton.  Abstracts and more details >

DECEMBER

Dec. 6: Maha Reshedi (A comparison of numerical and analytical solutions of differential equations and systems) and Teng Zhaopu (Numerical solution of 2D Vasicek PDE model), University of Dayton.  Abstract and more details >


Summer Term 2018

JULY

Omid Shirdelan will present his mathematics clinic research on Tuesday July 24 at 10:30 a.m. in SC 310. All are invited to attend. For more information >

Spring Term 2018

APRIL

April 26: (1) Forecasting Using Logistic Regression and Box–Jenkins (ARIMA) Models, Amal Alsomali, University of Dayton. (2) Bootstrapping a Moving Average Time Series Data, Ashley Mailloux, University of Dayton. Abstracts and more >

April 19: Boundedness and stability of solutions in nonlinear difference equation Qasim Alharbi and Mohammed Alharthi, University of Dayton. Abstract and more >

April 12: Uniqueness and Existence of Solutions of Boundary Value Problems at Resonance for Ordinary Differential Equations. Jabr Aljedani, University of Dayton.  Abstract and more >

April 5: Torsion invariants in operator algebras and K-theory. Joseph Migler, Ohio State University. Abstract and more >

MARCH

March 22: Residuals and diagnostics for ordinal regression models: A surrogate approach. Dungang Liu, University of Cincinnati Lindner College of Business.  Abstract and more >

March 15: A Method for Data De-Grouping and its Impact on Curve Fitting. Tatjana Miljkovic, Miami University.  Abstract and more >

March 8: Outputs of Generalized Trigonometric Functions. Ian Hogan, Central State University. Abstract and more >

FEBRUARY

February 22: Finite Products of Nowhere Real Linearly Ordered Sets. Tetsuya Ishiu,  Miami University.  Abstract and more >

February 15: Fractional Differential Equations. Muhammad Islam, University of Dayton. Abstract and more >

February 8: Idealized Models of Insect Olfaction. Pamela Pyzza, Ohio Wesleyan University. Abstract and more >

February 1: Jackknife Empirical Likelihood Method for the Comparison of Mean Residual Life Functions. Ying-Ju Tessa Chen, University of Dayton. Abstract and more >

JANUARY

January 25: The Role of the Group Inverse in the Ergodicity of Level-Dependent Quasi-Birth-and-Death Processes (LDQBDs). James Cordeiro, University of Dayton.  Abstract and more >

Fall Term 2017

DECEMBER

December 7: (1) The Search for an Improved Estimator in Determining the Probability of Jet Engine Failure. Kaity Jones, University of Dayton. (2) Optimal stopping problems for a Brownian motion with a disorder on a finite interval, Runze Hu, University of Dayton  Abstracts and more >

NOVEMBER

November 30: Spread option pricing with two underlying assets in a regime-switching model. Ying Ding, University of Dayton.  Abstract and more >

November 9: The Clay Institute Millennium Prize Problem on Navier-Stokes and its Probabilistic and Compressible Counterparts. Sivaguru Sritharan, Air Force Institute of Technology. Abstract and more >

November 2: Set theory and automorphisms of corona algebras. Paul McKenney, Miami University. Abstract and more >

OCTOBER

October 26: Visualizing & Validating CO$T Optimization (with JMP as your Analytic Hubs. Tom Filloon, Stat.i.m llc. Abstract and more >

October 19: Algebras having Bases Consisting Solely of Strongly Regular Elements. Daniel Bossaller, Ohio University. Abstract and more >

October 12: A combinatorial approach to minimal free resolutions of path ideals and domino ideals. Shelley Bouchat, Indiana University of Pennsylvania. Abstract and more >

SEPTEMBER

September 28:  Quasilinearization and Boundary Value Problems at Resonance for Caputo Fractional Differential Equations. Saleh Almuthaybiri, University of Dayton. Abstract and more >

September 21:  Discretization Scheme in Volterra Integro-differential Equations that Preserves Stability and Boundedness. Youssef Raffoul, University of Dayton. Abstract and more >

September 7:  An exact numerical scheme for curves with corners in 2D, Dr. Catherine Kublik,  University of Dayton. Abstract and more >


Summer 2017

JULY 2017

July 25:  A Nonlinear Analysis of an Oscillator Equation with Damping and External Forcing Using a Perturbation Method, Eman Alassaf,  University of Dayton, Advisor: Muhammad Usman. Abstract and more >

JUNE 2017

June 23:  Lyapunov functionals and stability in nonlinear infinite delay Volterra discrete systems, Budar and Sarah Alshammari,  University of Dayton, Advisor: Youssef Raffoul. Abstract and more >

June 15:  Decomposition of Varies Complete Graph into Isomophic Copies of 4-cycle with Three Pendant Edges, Rabab Alzahrani,  University of Dayton, Advisor: Atif Abueida. Abstract and more >

Spring 2017

APRIL 2017

April 28:  The Impact of Data Breaches on Firms’ Stock Price, Kaili Chen,  University of Dayton,  Advisor: Dr. Chen. Abstract and more >

April 27: First presentation: Reduction of truncation error for a finite difference scheme for the Black Scholes equation, Thanadol Sukjitnittayakarn,  University of Dayton, Advisor: Ruihua Liu; Second presentation: Optimal investment, consumption and life insurance, Chenwei Liu, University of Dayton, Advisor: Dan Ren. Abstracts and more >

April 20: Optimal Investment and Consumption in Regime-Switching Jump Diffusion ModelsRodrigue Nguimfack, University of Dayton, Advisor: Ruihua Liu. Abstract and more >

April 7A Classification of n-tuples of Commuting isometries, Edward Timko,  Indiana University, Host: Paul Eloe. Abstract and more >

April 6: Existence and Nonexistence of Positive Solutions of Two Point Fractional Boundary Value Problems, Jeffrey Neugebauer, Eastern Kentucky University, Host:  Muhammad Islam. Abstract and more >

MARCH 2017

March 31: (Friday at 12:20 p.m.): Solvability by Radicals, Ananth Hariharan, I.I. T. Bombay, Host: Lynne Yengulalp. Abstract and more >

March 30: An Optimal Investment Problem Using Regime-Switching Model with Stochastic Interest Rate, Cheng Ye, University of Dayton, Advisor: Ruihua Liu. Abstract and more >

March 23: Some Implications of Neighborhood Homogeneity. Nick Harner, University of Dayton, Advisor: Joe Mashburn. Abstract and more >

March 16: Bootstrapping General ARIMA Models, Seth Gannon, University of Dayton. Abstract and more >

March 9: Asymptotically Periodic Solution of a Quantum Volterra Equation, Muhammad Islam, University of Dayton. Abstract and more >

FEBRUARY 2017

February 21: A semiparametric regression under biased sampling and random censoring: a local pseudo-likelihood approach, Yassir Rabhi, University of Sherbrooke. Abstract and more >

February 14: Empirical Likelihood Based Detection Procedure for Change Point in Mean Residual Life Functions under random censorship, Ying-Ju Chen, Miami University. Abstract and more >

February 9: Mean Field Games for Stochastic Growth with Relative Utility, Son Nguyen, University of Puerto Rico. Abstract and more >

February 7: Price Dynamics in a Limit Order Book under time-dependent order flow, Jonathan Chavez Casillas, University of Calgary. Abstract and more >

February 2: Fast Alternating Minimization Algorithms for Inverse Problems in ImagingDr. Maryam Yashtini, Georgia Institute of Technology.  Abstract and more >

JANUARY 2017

January 24: A Markov-Modulated M/M/1 Retrial Queue with Unreliable Server, Dr. James D. Cordeiro, MediaDyne Systems Engineering.  Abstract and more >

Fall 2016

DECEMBER 2016

December 14A numerical study of an option pricing model using Radial Basis Functions collocation method, Walaa Alharbi, University of Dayton. Abstract and more >

December 9: First presentation - Quasilinearization and Boundary Value Problems at Resonance, Kareem Alanazi and Meshal Alshammari, University of Dayton. Second presentation - Packings of Various Complete Graphs with Isomorphic Copies of the 4-Cycle with a Pendant Edge, Badriah Alrashadi, University of Dayton. Abstracts and more >

December 1: Selling stock with long/short term taxes, Hang Gu, University of Dayton.

NOVEMBER 2016

November 17: Existence of a Positive Solution of Boundary Value Problems Theorems, Ahlam Abid, University of Dayton. Abstract and more >

November 10: Spectral Properties of Jacobi Matrices, Joanne Dombrowski, Wright State University, hosted by Jon Brown. Abstract and more >

November 3: Green's functions as convolutions of Green's functions for lower order fractional differential equationsPaul Eloe, University of Dayton. Abstract and more >

OCTOBER 2016

October 27: (Regular) Graded Skew Clifford Algebras of Low Global Dimension, Dr. Manizheh Nafari, Central State University, hosted by Muhammad Usman. Abstract and more >

October 20: Tyler Masthay, University of Dayton. 

SEPTEMBER 2016

September 29: Boundary Value Problems at Resonance and Fixed Point Theorems, Paul Eloe, University of Dayton. Abstract and more >

September 22: The Nahm Transform, Dr. Andres Larrain-Hubach, University of Dayton. Abstract and more >

SUMMER 2016

August 3: Comparison Theorems and Free Boundary Value Problems for Ordinary Differential Equations, Alaa Alharbi, University of Dayton

July 1: Almost 2-perfect Maximum Packing and Minimum Covering of Complete Graphs with 6-cycles, Meshail Alharbi and Maram Almazmumi, University of Dayton.


Spring 2015

MARCH 2015

March 24: Patrick Chadowski, University of Dayton:  "Existence and Uniqueness of Solutions in Nonlinear Differential Equations"  Read abstract (pdf)>>

March 19: Carl Mummert, Marshall University: "What is 'reverse' mathematics?"  Read abstract (pdf)>>

FEBRUARY 2015

February 2: Gabriela Martinez, Cornell University: "Augmented Lagrangian Methods for Solving Optimization Problems with Stochastic-Order Constraints." Read abstract (pdf) >>

February 4: Mark Tomforde, University of Houston: "Using Results from Dynamical Systems to Classify Algebras and C* -algebras." Read abstract (pdf) >>

February 5: Kevin McGoff, Duke University: "Statistical Inference for Dynamical Systems." Read abstract (pdf) >>

February 10: Alan Veliz-Cuba, University of Houston: "Practical and theoretical aspects of modeling gene networks." Read abstract (pdf) >>

February 19: Alaa Almansour, University of Dayton: "Boundary Value Problems at Resonance for Ordinary Differential Equations." Read abstract (pdf) >>

February 26: May Mei, Denison University: "Modeling Quasicrystals with Dynamical Systems." Read abstract (pdf) >>

Fall 2014

DECEMBER 2014

December 4: Jing Dan Zhang, University of Dayton:  "Pricing Options Using the Tree Method in a Switching Model with State Dependent Switching Rates." Read abstract (pdf) >>

December 4: Zhiyang Zhang, University of Dayton:  "Pricing Options in Jump Diffusion Models Using the Fast Fourier Transform." Read abstract (pdf) >>

December 9: Jing Nie, University of Dayton:  "Efficiency Comparison of Moody's KMV Model and Altman's Z-score Model Predicting Corporate Default with Empirical U.S. Data."  Read abstract (pdf) >>

December 11: Hanan Aljubran, University of Dayton:  "Asset Pricing in Policy Uncertainty Periods."  Read abstract (pdf) >>

December 11: Mohammed Aldandani, University of Dayton:  "A Green's Function for a Two-Term Second Order Differential Operator.:  Read abstract (pdf) >>

NOVEMBER 2014

November 6: Zhifeng Kuang, Universal Technology Corporation & Air Force Research Laboratory:  "Solving a Class of NP-Hard Optimization Problems Using Coupled Monte Carlo and Molecular Dynamics Simulations."  Read abstract (pdf) >>

November 11: Tracy Hwang, Risk Manager in Residence

November 20: Michael A. Radin, Rochester Institute of Technology:  "Dynamics of a discrete population model for extinction and sustainability in ancient civilizations."

November 25: Chenyu Qiu, University of Dayton:  "An Analysis of American Companies (1990-2000) Using the KMV Model." Read abstract (pdf)>>

OCTOBER 2014

October 2: Dr. Lance Lijian Chen, Department of MIS, OM and Decision Sciences, University of Dayton: "Two Topics on the Stochastic Programming and their Applications." Read Abstract (pdf) >>

October 16: Dr. Eloe, Department of Mathematics, University of Dayton:  "Multi-term Linear Fractional Nabia Difference Equations with Constant Coefficients."  Read Abstract (pdf) >>

October 23: Jireh Loreaux, University of Cincinnati:  "Extracting Hidden Information:  The Interplay Between Operators and their Diagonal Sequences."  Read Abstract (pdf) >>

October 30: Dr. Gang Yu, Kent State University:  "Sequences with Bounded Auto-Correlations."  Read Abstract (pdf) >>

SEPTEMBER 2014

September 18: Jonathan Brown, University of Dayton: "Determining if C*-algebras are simple." Read Abstract (pdf) >>

September 24: Jonathan Brown, University of Dayton: "Simplicity of the Irrational Rotation Algebra." Read Abstract (pdf) >>


Spring 2013

MARCH 2014

March 13: Muhammad Islam, University of Dayton:  "Bounded, asymptotically stable and L1 solutions of Caputo fractional differential equations." Read Abstract (pdf) >>

March 20: Paul Eloe, University of Dayton:  "A boundary value problem for a fractional differential equation." Read Abstract (pdf) >>

March 27: Tamer Oraby, University of Cincinnati: "Modeling parental acceptance of vaccination for paediatric infectious diseases."  Read Abstract (pdf) >>

 FEBRUARY 2014

February 6: Paul Eloe, University of Dayton: "Variation of parameters and fractional difference equations." Read abstract (pdf) >>

February 13: Jonathan Brown, Kansas State University: "The center of rings associated to directed graphs."  Read abstract (pdf) >>

February 18: Edward Hanson, Williams College: "Characterization of Leonard Pairs." Read abstract (pdf) >>

February 20: Jean Nganou, University of Oregon: "A Stone type duality between profinite MV-algebras and multisets." Read abstract (pdf) >>

JANUARY 2014

January 23: Matthew DeVilbiss, University of Dayton: "Finding the Grundy Number of line graphs." Read abstract (pdf) >>

January 30: Charlie Suer, University of Louisville: "Extending the PC-Tree Algorithm to the Torus." Read abstract (pdf) >>

Fall 2013

DECEMBER 2013

December 3: Abdulmohsen Alruwaili, University of Dayton: "Boundedness and Decay of Solution in Delay Difference Equation with Unbounded Forcing Terms."  Read abstract (pdf) >>

December 3: Norah Alnami, University of Dayton: "Asymptotically Stable Solutions of a System of Coupled Nonlinear Differential Equations."  Read abstract (pdf) >>

December 5: Salah Alsahafi and Abdualrazaq Sanbo, University of Dayton: "Boundedness of Solutions in Volterra Systems of Difference Equations."  Read abstract (pdf) >>

December 5: Pei Zhang, University of Dayton: "Idiosyncratic Risk and the Cross-Section of Expected Stock Return a Threshold Regress Approach."  Read abstract (pdf) >>

NOVEMBER 2013

November 7: David Freeman, University of Cincinnati: "Invertible Carnot Groups."  Read abstract (pdf) >>

November 14: Asmaa Alharbi and Hadiah Esmaiel, University of Dayton: "Exponential Smoothing."  Read abstract (pdf) >>

November 21: Nujud Alshehri, University of Dayton: "Forced Monotone Methods." Read abstract (pdf) >>

November 21: Ahmad Alhamed, University of Dayton: "Multivariate Time Series Models." Read abstract (pdf) >>

OCTOBER 2013

October 3: Paul Eloe, University of Dayton: "A solution algorithm for three term linear fractional difference equations with constant coefficients."

October 14: Willy Hereman, Colorado School of Mines: "Symbolic computation of conservation laws of nonlinear partial differential equations." (Electro-Optics and Mathematics Joint Seminar)

October 17: Catherine Kublik, University of Dayton: "Coarsening in high order, discrete, ill-posed diffusion equations."

October 24: Richard Kublik, Materials Resources LLC: "An Algorithm for Locally Adaptive Time Stepping."

October 31: Michael Radin, Rochester Institute of Technology: "Eventually periodic solutions & patterns of unbounded solutions of a second order delayed max-type difference equation."

SEPTEMBER 2013

September 12: Dan Ren, University of Dayton: "Optimal stopping time for the last passage time and last maximum time."

September 19: Lynne Yengulalp, University of Dayton: "Topological completeness."

September 26: Amanda Keck Criner, University of Dayton Research Institute: "Thermal nondestructive evaluation of porous materials."


CONTACT

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