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Filtering by: Subject Integral equations -- Numerical solutions

A nonlinear Fredholm integral equation as encountered in radiation through an atmosphere

Creator:

Blair, Larry Louis

Resource Type:

Masters Thesis
Computer techniques yielding automatic and rigorous solutions to linear and nonlinear integral equations

Creator:

Winter, Lynn Taylor

Abstract:

Interval arithmetic is applied to the problem of obtaining rigorous solutions to integral equations on a computer. The integral equations considered are the linear Fredholm equation of the second kind and the nonlinear Urysohn equation. Techniques are presented which enable the computer to find an approximate solution, prove the existence...

Resource Type:

Masters Thesis
Computation of the stresses on a rigid body in exterior stokes and oseen flows

Creator:

Schuster, Markus

Abstract:

This paper is about the computation of the stresses on a rigid body from a knowledge of the far field velocities in exterior Stokes and Oseen flows. The surface of the body is assumed to be bounded and smooth, and the body is assumed to move with constant velocity. We...

Resource Type:

Masters Thesis