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Filtering by: Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics Committee Member Gibson, Nathan Remove constraint Committee Member: Gibson, Nathan License All rights reserved Remove constraint License: All rights reserved Resource Type Masters Thesis Remove constraint Resource Type: Masters Thesis

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Local Existence for a Non-local Multi-Species Advection-Diffusion Equation with Newtonian Potential

Creator:

Radke, Zachary

Abstract:

In biological models, advection is inherently a non-local process. Coupled with diffusion, it typically models chemotaxis, which is the response of bacteria to the presence of some chemo attractant. For example, E. coli cells use their flagella to probe their surroundings to determine where they should move. The advection-diffusion equation...

Resource Type:

Masters Thesis
Operator Splitting for a Wildfire Model in a Heterogeneous Environment with a Surrogate Wind Velocity Field

Creator:

Pantuso, Nicholas M.

Abstract:

Living in the Pacific Northwest, we are acutely aware of the dangers posed by wildfires. Largely due to the worsening effects of climate change, this danger is only increasing. Along with causing property and economic damage to those communities affected by wildfires, exposure to the smoke generated by wildfires can...

Resource Type:

Masters Thesis
The implicit derivative matching technique for Maxwell's equations in complex heterogeneous media

Creator:

Kirk, Anna Rae

Abstract:

We construct an implicit derivative matching (IDM) technique for restoring the accuracy of the Yee scheme for Maxwell's equations in dispersive media with material interfaces in one dimension. We consider media exhibiting orientational polarization, which are represented using a Debye dispersive model, examples of which are water and living tissue....

Resource Type:

Masters Thesis
Analysis of fourth order numerical methods for the simulation of electromagnetic waves in dispersive media

Creator:

Henderson, Scott Edward

Abstract:

In this thesis, we investigate the problem of simulating Maxwell's equations in dispersive dielectric media. We begin by explaining the relevance of Maxwell's equations to 21st century problems. We also discuss the previous work on the numerical simulations of Maxwell's equations. Introductions to Maxwell's equations and the Yee finite difference...

Resource Type:

Masters Thesis

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Academic Affiliation

Mathematics[remove]4

Advisor

Bokil, Vrushali A.2
Cozzi, Elaine1
Peszynska, Malgorzata1

Commencement Year

Commencement Year range begin – Commencement Year range end

Current results range from 2009 to 2023

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Committee Member

Gibson, Nathan[remove]4
Peszynska, Malgorzata2
De Leenheer, Patrick1
Haggerty, Roy1
Higdon, Robert1
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Creator

Henderson, Scott Edward1
Kirk, Anna Rae1
Pantuso, Nicholas M.1
Radke, Zachary1

Date

Date range begin – Date range end

Current results range from 2008 to 2023

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Decade

2020-20292
2010-20191
2000-20091

Degree Field

Mathematics4

Degree Level

Master's4

Degree Name

Master of Science (M.S.)4

Language

English [eng]4

License

All rights reserved[remove]4

Non-Academic Affiliation

Oregon State University. Graduate School2

Peer Reviewed

No4

Resource Type

Masters Thesis[remove]4

Rights Statement

In Copyright4

Subject

Electromagnetic waves -- Mathematical models1
Numerical analysis1

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