Index Catalog // ScholarsArchive@OSU

A nonlinear shallow water wave equation and its classical solutions of the cauchy problem

Creator:: Crow, John A.
Abstract:: A nonlinear wave equation is developed, modeling the evolution in time of shallow water waves over a variable topography. As the usual assumptions of a perfect fluid and an irrotational flow are not made, the resulting model equation is dissipative due to the presence of a viscous boundary layer at...
Resource Type:: Dissertation
Full Text:: . Guenther A nonlinear wave equation is developed, modeling the evolution in time of shallow water waves

Nonlinear internal waves on the continental shelf: observations and KdV solutions

Creator:: O'Driscoll, Kieran
Abstract:: Numerical solutions of the Korteweg-de Vries (KdV) and extended Korteweg-de Vries (eKdV) equations are used to model the transformation of a sinusoidal internal tide as it propagates across the continental shelf. The ocean is idealized as being a two-layer fluid, justified by the fact that most of the oceanic internal...
Resource Type:: Masters Thesis

Automated rigorous solutions to nonlinear equations

Creator:: Cullop, Paul Wayne
Abstract:: We will consider the implementation of a computer program to solve a nonlinear algebraic system of N equations and unknowns. The program involves the use of a parameter, Newton's method, and an automatic change of parameter. Also considered are rigorous error bounds for the answer. The program was implemented and...
Resource Type:: Masters Thesis
Full Text:: ) ./ (Date) Title: AUTOMATED RIGOROUS SOLUTIONS TO NONLINEAR EQUATIONS Redacted for privacy Abstract

The Variable Speed Wave Equation and Perfectly Matched Layers

Creator:: Kim, Dojin
Abstract:: A perfectly matched layer (PML) is widely used to model many different types of wave propagation in different media. It has been found that a PML is often very effective and also easy to set, but still many questions remain. We introduce a new formulation from regularizing the classical Un-Split...
Resource Type:: Dissertation
Full Text:: Doctor of Philosophy in Mathematics presented on June 4, 2015. Title: The Variable Speed Wave Equation

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:: element methods for the wave equation AN ABSTRACT OF THE THESIS OF Marvin Minei for the degree of

Stochastic analysis of a nonlinear ocean structural system

Creator:: Lin, Huan
Abstract:: Stochastic analysis procedures have been recently applied to analyze nonlinear dynamical systems. In this study, nonlinear responses, stochastic and/or chaotic, are examined and interpreted from a probabilistic perspective. A multi-point-moored ocean structural system under regular and irregular wave excitations is analytically examined via a generalized stochastic Melnikov function and Markov...
Resource Type:: Dissertation
Full Text:: the nonlinear governing equation with respect to time. A large number of sample response

The Davey-Stewartson equations : a numerical study

Creator:: White, Peter W.
Abstract:: In 1974 Davey and Stewartson used a multi-scale analysis to derive a coupled system of nonlinear partial differential equations which describes the evolution of a three dimensional wave packet in water of a finite depth. This system of equations is the closest integrable two dimensional analog of the well-known one...
Resource Type:: Dissertation

Numerical inversion of laplace transforms by the trapezoidal-type methods

Creator:: Lin, FuSen F.
Abstract:: In this dissertation, we investigate three numerical methods for inverting the Laplace transform. These methods are all based on the trapezoidal-type approximations to the Bromwich integral. The first method is the direct integration method: It is a straightforward application of the trapezoidal rule to the Bromwich integral, followed by convergence...
Resource Type:: Dissertation
Full Text:: have s= +(_1)/c_1Lak= +R1. Again, we multiply by 22 on both sides of the equation (1.11) and then

On an integral equation occuring in the theory of wave propagation

Creator:: Weingarten, Fred Wesley
Resource Type:: Masters Thesis
Full Text:: AN INTEGRAL EQUATION OCCURRING IN THE THEORY OF WAVE PROPAGATION Abstract approved (Major professor

A computer subroutine for the numerical solution of nonlinear Fredholm equations

Creator:: Tieman, Henry William
Resource Type:: Masters Thesis
Full Text:: E [a, b] and F nonlinear, is a nonlinear Fredholm equation of the second kind. Very few equations

ScholarsArchive@OSU

A nonlinear shallow water wave equation and its classical solutions of the cauchy problem

Nonlinear internal waves on the continental shelf: observations and KdV solutions

Automated rigorous solutions to nonlinear equations

The Variable Speed Wave Equation and Perfectly Matched Layers

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

Stochastic analysis of a nonlinear ocean structural system

The Davey-Stewartson equations : a numerical study

Numerical inversion of laplace transforms by the trapezoidal-type methods

On an integral equation occuring in the theory of wave propagation

A computer subroutine for the numerical solution of nonlinear Fredholm equations

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