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Start Over Area of Honors Mathematics Thesis Supervisor Victoria V Sadovskaya

1. The q-catalan numbers of Macmahon and a related identity of Andrews

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Open Access

Author:: Cobern, Sara Catherine
Title:: The q-catalan numbers of Macmahon and a related identity of Andrews
Area of Honors:: Mathematics
Keywords:: q-Catalan numbers
Mathematics
Combinatorics
File:: Download Cobern_Final_Thesis.pdf
Thesis Supervisors:: Ae Ja Yee, Thesis Supervisor
Victoria V Sadovskaya, Thesis Honors Advisor

2. Mathematical Modeling Of Influenza At Penn State: a Study Of Incidence Patterns And Effect Of Vaccination

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Open Access

Author:: Inciardi, Allegra Marie
Title:: Mathematical Modeling Of Influenza At Penn State: a Study Of Incidence Patterns And Effect Of Vaccination
Area of Honors:: Mathematics
Keywords:: influenza
mathematical model
influenza vaccination
File:: Download Inciardi_Thesis.pdf
Thesis Supervisors:: Timothy Charles Reluga, Thesis Supervisor
Victoria V Sadovskaya, Thesis Honors Advisor

3. Approximate Ramsey Theory

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Open Access

Author:: Zhang, Xingyu
Title:: Approximate Ramsey Theory
Area of Honors:: Mathematics
Keywords:: math
Ramsey theory
combinatorics
File:: Download Zhang_Xingyu_approximateramseytheory.pdf
Thesis Supervisors:: Jan Severin Reimann, Thesis Supervisor
Victoria V Sadovskaya, Thesis Honors Advisor

4. Application of Computational Linear Algebraic methods to a Reliability Simulation

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Open Access

Author:: Henry, Seth Michael
Title:: Application of Computational Linear Algebraic methods to a Reliability Simulation
Area of Honors:: Mathematics
Keywords:: Markov chain
reliability theory
computational methods
Gauss-Seidel
Conjugate Gradient
Successive over-relaxation
File:: Download NewThesis.pdf
Thesis Supervisors:: Christopher H Griffin, Thesis Supervisor
Victoria V Sadovskaya, Thesis Honors Advisor

5. Speeds of Biological Invasion

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Open Access

Author:: Suhendra, Richard
Title:: Speeds of Biological Invasion
Area of Honors:: Mathematics
Keywords:: kpz
invasion
mathematical biology
reaction diffusion
stochastic
File:: Download Speeds_of_Biological_Invasion.pdf
Thesis Supervisors:: Timothy Charles Reluga, Thesis Supervisor
Victoria V Sadovskaya, Thesis Honors Advisor

6. Oscillatory Behaviors of SIRS-like Renewal Equations

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Open Access

Author:: Pratt, Madison
Title:: Oscillatory Behaviors of SIRS-like Renewal Equations
Area of Honors:: Mathematics
Keywords:: mathematical modeling
infectious diseases
SIR model
delayed differential equations
File:: Download resub_final_thesis.pdf
Thesis Supervisors:: Timothy Charles Reluga, Thesis Supervisor
Victoria V Sadovskaya, Thesis Honors Advisor

7. Solving Differential Equations With Deep Neural Networks (DNNs)

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Open Access

Author:: Grafton, Jaysa
Title:: Solving Differential Equations With Deep Neural Networks (DNNs)
Area of Honors:: Mathematics
Keywords:: Differential Equations
Deep Neural Networks
DNNs
Machine Learning
ODEs
File:: Download Undergraduate_Thesis_Grafton.pdf
Thesis Supervisors:: Leonid V Berlyand, Thesis Supervisor
Victoria V Sadovskaya, Thesis Honors Advisor