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Filtering by: Dspace Collection Ph.D. Theses (Mathematics) Creator Aalto, Sergei Kalvin

An iterative procedure for the solution of nonlinear equations in a Banach space

Creator:

Aalto, Sergei Kalvin

Abstract:

In 1964, Zarantonello published a constructive method for the solution of certain nonlinear problems in a Hilbert space. We extend the method in various directions including a generalization to a Banach space setting. A revealing geometric interpretation of the method yields guidelines for the analysis.

Resource Type:

Dissertation
Reduction of Fredholm integral equations with Green's function kernels to Volterra equations

Creator:

Aalto, Sergei Kalvin

Abstract:

G. F. Drukarev has given a method for solving the Fredholm equations which arise in the study of collisions between electrons and atoms. He transforms the Fredholm equations into Volterra equations plus finite algebraic systems. H. Brysk observes that Drukarev's method applies generally to a Fredholm integral equation (I-λ G)u...

Resource Type:

Masters Thesis

Full Text:

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