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Filtering by: Subject Wave equations -- Numerical solutions Academic Affiliation Computer Science Advisor Davis, Joel

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

Full Text:

numerical solution of a mathematical problem often involves two aspects. One is a computational scheme