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Filtering by: Subject Numerical analysis Remove constraint Subject: Numerical analysis Rights Statement In Copyright Remove constraint Rights Statement: In Copyright

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Numerical Study of Convexity Splitting Scheme for Coupled Phase Field and Stefan Free Boundary Problems

Creator:

Bigler, Lisa A.

Abstract:

In this work, we consider a convexity splitting scheme for a coupled phase field and energy equation, a modification of Stefan problem. The Stefan problem is a free boundary value problem that models the temperature in a homogeneous multiphase medium. Each phase is modeled using a heat diffusion parabolic partial...

Resource Type:

Masters Thesis

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Master of Science in Mathematics presented on January 3, 2019. Title: Numerical Study of Convexity
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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Numerical Methods for the Simulation of Electromagnetic Waves in Dispersive Media Abstract approved
Mixing time for a 3-cycle interacting particle system : a coupling approach

Creator:

Eves, Matthew Jasper

Abstract:

This thesis examines the mixing times for one-dimensional interacting particle systems. We use the coupling method to study the mixing rates for particle systems on the circle which move according to specific permutations e.g., transpositions and 3-cycles.

Resource Type:

Masters Thesis
Operator splitting methods for Maxwell's equations in dispersive media

Creator:

Keefer, Olivia A.

Abstract:

Accurate modeling and simulation of wave propagation in dispersive dielectrics such as water, human tissue and sand, among others, has a variety of applications. For example in medical imaging, electromagnetic waves are used to interrogate human tissue in a non-invasive manner to detect anomalies that could be cancerous. In non-destructive...

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Masters Thesis

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like the Yee or FDTD scheme and the Crank-Nicolson scheme. Finally, results of numerical simulations

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Academic Affiliation

Mathematics4

Advisor

Bokil, Vrushali A.2
Kovchegov, Yevgeniy1
Peszynska, Malgorzata S.1

Commencement Year

Commencement Year range begin – Commencement Year range end

Current results range from 2008 to 2019

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Committee Member

Higdon, Robert L.2
Brekken, Ted K. A.1
Burton Jr, Robert M.1
Chen, Larry Lung-Kee1
Faridani, Adel1
more Committee Members »

Creator

Bigler, Lisa A.1
Eves, Matthew Jasper1
Henderson, Scott Edward1
Keefer, Olivia A.1

Date

Date range begin – Date range end

Current results range from 2007 to 2019

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Decade

2010-20192
2000-20092

Degree Field

Mathematics4

Degree Level

Master's4

Degree Name

Master of Science (M.S.)4

File Format

application/pdf1

Language

English [eng]4

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All rights reserved4

Non-Academic Affiliation

Oregon State University. Graduate School3

Peer Reviewed

No4

Resource Type

Masters Thesis4

Rights Statement

In Copyright[remove]4

Subject

Electromagnetic waves -- Mathematical models2
Numerical analysis2
Dielectrics1
Dispersion -- Mathematical models1
Maxwell equations1
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