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Filtering by: Committee Member Showalter, Ralph Remove constraint Committee Member: Showalter, Ralph

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Explorations of Optimization Methods for Deep Learning with Examples from Various Applications

Creator:

Zhang, Nachuan

Abstract:

This paper explores some optimization methods such as the gradient descent method, Gauss-Newton method, and stochastic gradient method. Some examples of minimizing objective functions are given to validate the theories. Then we introduce a simple example of artificial neural networks, define its structure, and apply the optimization methods to it....

Resource Type:

Capstone Project
Existence Theory in Sobolev Spaces for an Aggregation Equation

Creator:

Barta, Hannah E.

Abstract:

Aggregation equations have been used to model phenomena such as insect swarming and chemotaxis. Previous work on aggregation equations in the area of analysis applied to PDE has proven well-posedness of certain classes of aggregation equations in Lebesgue spaces. We will prove local existence of solutions in H^1 to an...

Resource Type:

Capstone Project
A local perturbation problem of the 3D Navier-Stokes equations

Creator:

Zeng, Jhih-Jyun

Abstract:

This dissertation explores mathematical theory of the 3 dimensional incompressible Navier-Stokes equations that consists a set of partial differential equations which govern the motion of Newtonian fluids and can be seen as Newton's second law of motion for fluids. The main interest of this work focuses on how local perturbation...

Resource Type:

Dissertation
Numerical Analysis of a System of Parabolic Variational Inequalities with Application to Biofilm Growth

Creator:

Alhammali, Azhar S. A.

Abstract:

In this work we consider a mathematical and computational model for biofilm growth and nutrient utilization. In particular, we are interested in a model appropriate at a scale of interface. The model is a system of two coupled nonlinear diffusion--reaction partial differential equations (PDEs). One of these PDEs is subject...

Resource Type:

Dissertation
A Discourse on the Gauge Integral

Creator:

Lilly, Jeremy

Abstract:

The gauge integral is a rather obscure object in mathematics. Like the Riemann integral, it is relatively simple to define, but unlike the Riemann integral, the gauge integral has the ability to integrate a very large class of functions. Here, we provide a development of the gauge integral at an...

Resource Type:

Honors College Thesis
Hybrid Multiscale Methods with Applications to Semiconductors, Porous Media, and Materials Science

Creator:

Costa, Timothy B.

Abstract:

In this work we consider two multiscale applications with tremendous computational complexity at the lower scale. First, we examine a model for charge transport in semicon- ductor structures with heterojunction interfaces. Due to the complex physical phenomena at the interface, the model at the design scale is unable to adequately...

Resource Type:

Dissertation
Some Results in Single-Scattering Tomography

Creator:

Sherson, Brian

Abstract:

Single-scattering tomography describes a model of photon transfer through a object in which photons are assumed to scatter at most once. The Broken Ray transform arises from this model, and was first investigated by Lucia Florescu, Vadim A. Markel, and John C. Schotland, [2], in 2010, followed by an inversion,...

Resource Type:

Dissertation
Interactive Genetic Algorithms for watershed planning : an investigation of usability and human-centered design

Creator:

Piemonti, Adriana Debora

Abstract:

Degradation of watersheds is a major concern in areas where adverse climate effects and unsustainable use of the natural resources have caused extensive stresses to watershed systems (e.g., increased floods, increased droughts, worsened in-stream water quality) through the years. While considerable efforts are being made to generate technical solutions that...

Resource Type:

Dissertation
Hydrodynamic contact/impact modeling and application to ocean engineering problems

Creator:

Challa, Ravi

Abstract:

Fluid-structure interaction (FSI) is a very interesting and challenging multi-disciplinary field involving interaction of a movable or deformable structure with an internal or surrounding fluid flow. FSI has several practical engineering applications such as the determination of the hydrodynamic forces on a structure or the dynamics of motion of bodies...

Resource Type:

Dissertation
Nonlinear finite difference schemes for the Klausmeier system

Creator:

McClellan, Natalia A.

Abstract:

In this work we consider a model for pattern-producing vegetation in semi-arid regions of the world proposed by Klausmeier. It is a coupled nonlinear diffusion-advection evolutionary PDE system describing the vegetation density and water amount. The model was studied extensively by J.Sherratt who took into consideration the field data for...

Resource Type:

Masters Thesis

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Academic Affiliation

Mathematics13
Civil and Construction Engineering3
Civil, Construction, and Environmental Engineering1
Mechanical Engineering1
Mechanical, Industrial, and Manufacturing Engineering1
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Advisor

Peszynska, Malgorzata6
Cozzi, Elaine2
Atre, Sundar1
Babbar Sebens, Meghna1
Dascaliuc, Radu1
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Commencement Year

Commencement Year range begin – Commencement Year range end

Current results range from 2006 to 2021

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Committee Member

Showalter, Ralph[remove]23
Higdon, Robert4
Thomann, Enrique3
Bokil, Vrushali2
Cozzi, Elaine2
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Creator

Costa, Timothy B.2
Abolhassani Monfared, Negar1
Alhammali, Azhar S. A.1
Barrett, Johnner1
Barta, Hannah E.1
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Date

Date range begin – Date range end

Current results range from 2006 to 2021

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Decade

2020-20293
2010-201914
2000-20096

Degree Field

Mathematics14
Civil Engineering5
Materials Science2
Mechanical Engineering2
Wood Science1

Degree Level

Doctoral13
Master's9
Bachelor's1

Degree Name

Doctor of Philosophy (Ph.D.)13
Master of Science (M.S.)9
Honors Bachelor of Science (H.B.S.)1

File Format

application/pdf4

Language

English [eng]23

License

All rights reserved20

Non-Academic Affiliation

Oregon State University. Graduate School18
Oregon State University. Honors College1

Peer Reviewed

No22

Resource Type

Dissertation13
Masters Thesis7
Capstone Project2
Honors College Thesis1

Rights Statement

In Copyright23

Subject

Finite differences2
Water waves2
Brownian motion processes1
Charge transfer -- Mathematical models1
Conservation laws (Mathematics)1
more Subjects »

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