Index Catalog // ScholarsArchive@OSU

An analysis of accuracy of finite difference and finite element methods for the wave equation

Creator:: Minei, Marvin
Abstract:: In this paper, Fourier analysis is used to investigate various approximation methods for the one- and two-dimensional wave equations. The spatial derivatives are approximated by the second order centered finite difference method, the linear and quadratic finite element methods, and the fourth order centered finite difference method. The approximation schemes...
Resource Type:: Masters Thesis
Full Text:: ACKNOWLEGEMENTS First of all, I would like to thank Dr. Robert L. Higdon for helping me to complete this paper

Pseudo-spectral approximations of Rossby and gravity waves in a two-Layer fluid

Creator:: Wolfkill, Karlan Stephen
Abstract:: The complexity of numerical ocean circulation models requires careful checking with a variety of test problems. The purpose of this paper is to develop a test problem involving Rossby and gravity waves in a two-layer fluid in a channel. The goal is to compute very accurate solutions to this test...
Resource Type:: Masters Thesis
Full Text:: Approximations of Rossby and Gravity Waves in a Two-layer Fluid Abstract approved: Robert L. Higdon The

On straight line representations of random planar graphs

Creator:: Choi, In-kyeong
Resource Type:: Dissertation

The suppression of learning at the hidden units of neural networks

Creator:: Perlot, Martin
Abstract:: Under certain conditions, a neural network may be trained to perform a specific task by altering the weights of only a portion of the synapses. Specifically, it has been noted that certain three layer feed-forward networks may be trained to certain tasks by adjusting only the synapses to the output...
Resource Type:: Masters Thesis
Full Text:: Networks Redacted for privacyAbstract approved: Robert Burton Under certain conditions, a neural network

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...
Resource Type:: Masters Thesis
Full Text:: like to thank Dr. Ted Brekken, Dr. Nathan Gibson, and Dr. Robert Higdon for dedicating their time to

Multiscale Methods and Energy Stable Discretizations for Maxwell’s Equations in Linearand Nonlinear Materials

Creator:: Sakkaplangkul, Puttha
Abstract:: In this dissertation, we introduce a family of fully discrete finite difference time-domain (FDTD) methods for Maxwell’s equations in linear and nonlinear materials. Onecategory of methods is constructed using multiscale techniques involving operator splittings. We present the sequential splitting scheme, the Strang Marchuk splitting scheme,the weighted sequential splitting scheme including...
Resource Type:: Dissertation
Full Text:: programming, as well as, to Dr. Robert L. Higdon and Dr. Adel Faridani for their interest in my work and for

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

Compatible Discretizations for Maxwell's Equations with General Constitutive Laws

Creator:: McGregor, D. A.
Abstract:: In this thesis we construct compatible discretizations of Maxwell's equations. We use the term compatible to describe numerical methods for Maxwell's equations which obey many properties of vector Calculus in a discrete setting. Compatible discretizations preserve the exterior Calculus ensuring that the divergence of the curl and the curl of...
Resource Type:: Dissertation
Full Text:: Nathan L. Gibson In this thesis we construct compatible discretizations of Maxwell’s equations. We use

The solutions of certain equations in a variable and its greatest integer part

Creator:: Golden, Robert Ray
Resource Type:: Masters Thesis
Full Text:: solution set and its cardinality of the equation Tlf"-Bi([xl) = 0, i=l where m> I and El for Ig i6rn, is a

A critique of the incidence and order axioms of geometry

Creator:: Main, Robert Vaughn
Abstract:: A set of axioms of incidence and order for geometry was formulated by David Hilbert in 1898. In this paper these axioms are reformulated and particular care is taken with the two relations of order and incidence. Such phrases as " point P lies on line [cursive small letter L]"...
Resource Type:: Dissertation

ScholarsArchive@OSU

An analysis of accuracy of finite difference and finite element methods for the wave equation

Pseudo-spectral approximations of Rossby and gravity waves in a two-Layer fluid

On straight line representations of random planar graphs

The suppression of learning at the hidden units of neural networks

Operator splitting methods for Maxwell's equations in dispersive media

Multiscale Methods and Energy Stable Discretizations for Maxwell’s Equations in Linearand Nonlinear Materials

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

Compatible Discretizations for Maxwell's Equations with General Constitutive Laws

The solutions of certain equations in a variable and its greatest integer part

A critique of the incidence and order axioms of geometry

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