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Filtering by: Subject Wave equations -- Numerical solutions Academic Affiliation Mathematics Decade 2000-2009

Construction and numerical simulation of a two-dimensional analogue to the KdV equation

Creator:

Black, Wendy

Abstract:

Arising from an investigation in Hydrodynamics, the Korteweg-de Vries equation demonstrates existence of nonlinear waves that resume their profile after interaction. In this thesis, the classical equations governing wave motion are the starting point for the development of an analogue of the KdV that describes the evolution of a wave...

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:

Mathematics presented on September 3, 2003. - Title: Numerical Inversion of Laplace Transforms By the
Skew Brownian motion and branching processes applied to diffusion-advection in heterogenous media and fluid flow

Creator:

Ramirez, Jorge M.

Abstract:

This thesis contains three manuscripts addressing the application of stochastic processes to the analysis and solution of partial differential equations (PDEs) in mathematical physics. In the first manuscript, one dimensional diffusion and Burgers equation are considered. The Fourier transform of the solution to each PDE is represented as the expected...

Resource Type:

Dissertation

Full Text:

accurate numerical calculations of the solution. The second manuscript considers an advection-diffusion