The Department of Mathematics offers a Bachelor of Science in Computational Mathematics degree with two tracks (Data Science and Engineering Applications) as well as two minors, Applied Mathematics and Computational Mathematics

We also offer a Master of Science in Data Science, currently one of the most in-demand career fields.

Virtually every Embry-Riddle student — whether training to be a pilot, engineer, scientist, or manager — will pass through the Department of Mathematics while earning a degree. The flexibility of the Computational Mathematics degree allows well-prepared students to pursue dual majors, increasing their career options and enhancing their marketability to potential employers. Some students will gain foundational math skills, while others pursue innovative programs in pure and applied mathematics. The degree in Computational Mathematics allows students to blend mathematical theory and computational techniques to address problems that arise in a variety of scientific disciplines.

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Submissions from 2023

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Liouville soliton surfaces obtained using Darboux transformations, S. C. Mancas and K. R. Acharya

Submissions from 2022

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Hydrodynamics, Andrei Ludu

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Kinematics of Fluids, Andrei Ludu

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The Replacement Rule for Nonlinear Shallow Water Waves, A. Ludu and Z. Zong

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One-Parameter Darboux-Deformed Fibonacci Numbers, Stefani C. Mancas and H. C. Rosu

Submissions from 2021

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A Mathematical Model for Transport and Growth of Microbes in Unsaturated Porous Soil, Harihar Khanal, Andrei Ludu, Ramesh Chandra Timsina, and Kedar Nath Uprety

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Nonlinear Schrödinger equation solitons on quantum droplets, A. Ludu and A.S. Carstea

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A Numerical Solution of Water Flow in Unsaturated Soil with Evapotraspiration, Andrei Ludu, Harihar Khanal, Ramesh Chandra Timsina, and Kedar Nath Uprety

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Reduced Multiplicative Complexity Discrete Cosine Transform (DCT) Circuitry, Sirani Kanchana Mututhanthrige Perera

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Reduced Multiplicative Complexity Discrete Cosine Transform (DCT) Circuitry, Sirani Kanchana Mututhanthrige Perera

Submissions from 2020

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Dynamics of Discontinuities in Elastic Solids, Arkadi Berezovski and Mihhail Berezovski

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Discontinuity-Driven Mesh Alignment for Evolving Discontinuities in Elastic Solids, Mihhail Berezovski and Arkadi Berezovski

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2N-Dimensional Canonical Systems and Applications, Andrei Ludu and Keshav Baj Acharya

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Experimental study of breathers and rogue waves generated by random waves over non-uniform bathymetry, A. Ludu, A. Wang, Z. Zong, L. Zou, and Y. Pei

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A Statistical Learning Regression Model Utilized To Determine Predictive Factors of Social Distancing During COVID-19 Pandemic, Timothy A. Smith, Albert J. Boquet, and Matthew V. Chin

Submissions from 2019

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Titchmarsh–Weyl Theory for Vector-Valued Discrete Schrödinger Operators, Keshav R. Acharya

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Action of Complex Symplectic Matrices on the Siegel Upper Half Space, Keshav R. Acharya and Matt McBride

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An Explicit Finite Volume Numerical Scheme for 2D Elastic Wave Propagation, Mihhail Berezovski and Arkadi Berezovski

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A Design of a Material Assembly in Space-Time Generating and Storing Energy, Mihhail Berezovski, Stan Elektrov, and Konstantin Lurie

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Ice Spiral Patterns on the Ocean Surface, Andrei Ludu and Zhi Zong

Submissions from 2018

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Stability of Solitary and Cnoidal Traveling Wave Solutions for a Fifth Order Korteweg-de Vries Equation, Ronald Adams and S.C. Mancas

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Full Field Computing for Elastic Pulse Dispersion in Inhomogeneous Bars, A. Berezovski, R. Kolman, M. Berezovski, D. Gabriel, and V. Adamek

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Numerical Simulation of Energy Localization in Dynamic Materials, Arkadi Berezovski and Mihhail Berezovski

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Vortex Structures inside Spherical Mesoscopic Superconductor Plus Magnetic Dipole, A. Ludu

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Nonlocal Symmetries for Time-Dependent Order Differential Equations, Andrei Ludu

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An Asymptotic Analysis for Generation of Unsteady Surface Waves on Deep Water by Turbulence, Shahrdad Sajjadi

Submissions from 2017

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Numerical Simulation of Acoustic Emission During Crack Growth in 3-point Bending Test, Mihhail Berezovski and Arkadi Berezovski

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Differential Equations of Dynamical Order, Andrei Ludu and Harihar Khanal

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Traveling Wave Solutions to Kawahara and Related Equations, S.C. Mancas

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Elliptic Solutions and Solitary Waves of a Higher Order KdV-BBM Long Wave Equation, S.C. Mancas and Ronald Adams

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Traveling Wave Solutions for Wave Equations with Exponential Nonlinearities, S. C. Mancas, H. C. Rosu, and M. Perez-Maldonado

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Generalized Thomas-Fermi Equations as the Lampariello Class of Emden-Fowler Equations, Haret C. Rosu and S.C. Mancas

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Almost-BPS Solutions in Multi-Center Taub-NUT, C. Rugina and A. Ludu

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Variational Principle for Velocity-Pressure Formulation of Navier-Stokes Equations, Shahrdad Sajjadi

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A Regression Model to Predict Stock Market Mega Movements and/or Volatility Using Both Macroeconomic Indicators & Fed Bank Variables, Timothy A. Smith and Alcuin Rajan

Submissions from 2016

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A Note on Vector Valued Discrete Schrödinger Operators, Keshav R. Acharya

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Remling's Theorem on Canonical Systems, Keshav R. Acharya

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Thermoelastic Waves in Microstructured Solids, Arkadi Berezovski and Mihhail Berezovski

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Growth of Groups of Wind Generated Waves, Frederique Drullion and Shahrdad Sajjadi

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Energy Transfer from Wind to Wave Groups: Theory and Experiment, Andrei Ludu and Shahrdad G. Sajjadi

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Evolution of Spherical Cavitation Bubbles: Parametric and Closed-Form Solutions, S.C. Mancas and Haret C. Rosu

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Existence of Periodic Orbits in Nonlinear Oscillators of Emden-Fowler Form, S.C. Mancas and Haret C. Rosu

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Integrable Abel Equations and Vein's Abel Equation, S.C. Mancas and Haret C. Rosu

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Micro Cavitation Bubbles on the Movement of an Experimental Submarine: Theory and Experiments, S.C. Mancas, Shahrdad G. Sajjadi, Asalie Anderson, and Derek Hoffman

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Signal Flow Graph Approach to Efficient DST I-IV Algorithms, Sirani M. Perera

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Nongauge Bright Soliton of the Nonlinear Schrodinger (NLS) Equation and a Family of Generalized NLS Equations, M. A. Reyes, D. Gutierrez-Ruiz, S. C. Mancas, and H. C. Rosu

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Ermakov Equation and Camassa-Holm Waves, Haret C. Rosu and S.C. Mancas

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Growth of Stokes Waves Induced by Wind on a Viscous Liquid of Infinite Depth, Shahrdad Sajjadi

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Exact Analytical Solution of Viscous Korteweg-deVries Equation for Water Waves, Shahrdad G. Sajjadi and Timothy A. Smith

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Growth of Unsteady Wave Groups by Shear Flows, Shahrdad Sajjadi, Julian Hunt, and Frederique Drullion

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Wave Motion Induced By Turbulent Shear Flows Over Growing Stokes Waves, Shahrdad Sajjadi, Serena Robertson, Rebecca Harvey, and Mary Brown

Submissions from 2015

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Two-Dimensional Structures in the Quintic Ginzburg-Landau Equation, Florent Bérard, Charles-Julien Vandamme, and S.C. Mancas

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Pattern Formation of Elastic Waves and Energy Localization Due to Elastic Gratings, A. Berezovski, J. Engelbrecht, and Mihhail Berezovski

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Student and Faculty Perceptions of Attendance Policies at a Polytechnic University, Loraine Lowder, Adeel Khalid, Daniel R. Ferreira, Jeanne Law Bohannon, Beth Stutzmann, Mir M. Atiqullah, Rajnish Singh, Tien Yee, Keshav R. Acharya, Craig A. Chin, M. A. Karim, Robert Segiharu Keyser, and Donna Colebeck

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Pulses and Snakes in Ginzburg-Landau Equation, S.C. Mancas and Roy S. Choudhury

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Integrable Equations with Ermakov-Pinney Nonlinearities and Chiellini Damping, S.C. Mancas and Haret C. Rosu

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Barotropic FRW Cosmologies with Chiellini Damping, Haret C. Rosu, S.C. Mancas, and Pisin Chen

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Barotropic FRW Cosmologies with Chiellini Damping in Comoving Time, Haret C. Rosu, S.C. Mancas, and Pisin Chen

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One-Parameter Supersymmetric Hamiltonians in Momentum Space, H. C. Rosu, S. C. Mancas, and P. Chen

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Formation of Three-Dimensional Surface Waves on Deep-Water Using Elliptic Solutions of Nonlinear Schrödinger Equation, Shahrdad G. Sajjadi, S.C. Mancas, and Frederique Drullion

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An Economic Regression Model to Predict Market Movements, Timothy A. Smith and Andrew Hawkins

Submissions from 2014

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An Alternate Proof of the De Branges Theorem on Canonical Systems, Keshav R. Acharya

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Self-Adjoint Extension and Spectral Theory of a Linear Relation in a Hilbert Space, Keshav R. Acharya

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Titchmarsh-Weyl Theory for Canonical Systems, Keshav R. Acharya

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Computational Models for Nanosecond Laser Ablation, Harihar Khanal, David Autrique, and Vasilios Alexiades

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Ermakov-Lewis Invariants and Reid Systems, S.C. Mancas and Haret C. Rosu

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A Fast Algorithm for the Inversion of Quasiseparable Vandermonde-like Matrices, Sirani M. Perera, Grigory Bonik, and Vadim Olshevsky

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One-Parameter Families of Supersymmetric Isospectral Potentials From Riccati Solutions in Function Composition Form, Haret C. Rosu, S.C. Mancas, and Pisin Chen

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Shifted One-Parameter Supersymmetric Family of Quartic Asymmetric Double-Well Potentials, Haret C. Rosu, S.C. Mancas, and Pisin Chen

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A Regression Model to Investigate the Performance of Black-Scholes using Macroeconomic Predictors, Timothy A. Smith, Ersoy Subasi, and Aliraza M. Rattansi

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Not All Traces On the Circle Come From Functions of Least Gradient in the Disk, Gregory S. Spradlin and Alexandru Tamasan

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Variable Viscosity Condition in the Modeling of a Slider Bearing, Kedar Nath Uprety and S.C. Mancas

Submissions from 2013

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Hydrodynamic Modeling of ns-Laser Ablation, David Autrique, Vasilios Alexiades, and Harihar Khanal

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Dispersive Waves in Microstructured Solids, A. Berezovski, J. Engelbrecht, A. Salupere, K. Tamm, T. Peets, and Mihhail Berezovski

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Influence of Microstructure on Thermoelastic Wave Propagation, Arkadi Berezovski and Mihhail Berezovski

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Time-Stepping for Laser Ablation, Harihar Khanal, David Autrique, and Vasilios Alexiades

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Integrable Dissipative Nonlinear Second Order Differential Equations Via Factorizations and Abel Equations, S.C. Mancas and Haret C. Rosu

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Weierstrass Traveling Wave Solutions for Dissipative Benjamin, Bona, and Mahoney (BBM) Equation, S.C. Mancas, Greg Spradlin, and Harihar Khanal

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A Study of Energy Transfer of Wind and Ocean Waves, Shahrdad Sajjadi and Mason Bray

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Asymptotic Multi-Layer Analysis of Wind Over Unsteady Monochromatic Surface Waves, Shahrdad Sajjadi, Julian Hunt, and Frederique Drullion

Submissions from 2012

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Wave Propagation and Dispersion in Microstructured Solids, Arkadi Berezovski, Juri Engelbrecht, and Mihhail Berezovski

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On the Stability of a Microstructure Model, Mihhail Berezovski and Arkadi Berezovski

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ACE - A Model Centered REU Program Standing on the Three Legs of CSE: Analysis, Computation and Experiment, Hong P. Liu and Andrei Ludu

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Vortex Patterns Beyond Hypergeometric, Andrei Ludu

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Topology and Geometry of Mixing of Fluids, Andrei Ludu, S.C. Mancas, Ionutz Ionescu, Audrey Gbagaudi, and Matthew Schumacher

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2D Novel Structures Along an Opitcal Fiber, Charles-Julien Vandamme and S.C. Mancas

Submissions from 2011

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Dispersive Wave Equations for Solids with Microstructure, A. Berezovski, Juri Engelbrecht, and Mihhail Berezovski

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Two-Scale Microstructure Dynamics, Arkadi Berezovski, Mihhail Berezovski, and Juri Engelbrecht

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Waves in Microstructured Solids: A Unified Viewpoint of Modelling, Arkadi Berezovski, Juri Engelbrecht, and Mihhail Berezovski

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On the Stability of a Microstructure Model, Mihhail Berezovski and Arkadi Berezovski

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Interactions and Focusing of Nonlinear Water Waves, Harihar Khanal, S.C. Mancas, and Shahrdad Sajjadi

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Differential Geometry of Moving Surfaces and Its Relation to Solitons, Andrei Ludu

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Differential Geometry of Moving Surfaces and Its Relation to Solitons, Andrei Ludu

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Solitary Waves, Periodic and Elliptic Solutions to the Benjamin, Bona & Mahony (BBM) Equation Modified by Viscosity, S.C. Mancas, Harihar Khanal, and Shahrdad G. Sajjadi

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Turbulence and Wave Dynamics Across Gas–Liquid Interfaces, Shahrdad Sajjadi, Julian Hunt, Stephen Belcher, Derek Stretch, and John Clegg

Submissions from 2010

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Spatiotemporal Two-Dimensional Solitons in the Complex Ginzburg-Landau Equation, Florent Berard and S.C. Mancas

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Waves in Materials with Microstructure: Numerical Simulation, Mihhail Berezovski, Arkadi Berezovski, and Juri Engelbrecht

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Deformation Waves in Microstructured Materials: Theory and Numerics, Juri Engelbrecht, Arkadi Berezovski, and Mihhail Berezovski

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Book Review: Visual Motion of Curves and Surfaces, Andrei Ludu

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Elements of Study on Dynamic Materials, Marine Rousseau, Gerard A. Maugin, and Mihhail Berezovski