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Filtering by: Contributor advisor sim Anselone, P. M. Remove constraint Contributor advisor sim: Anselone, P. M.

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The solution of singular volterra integral equations by successive approximations

Creator:

James, Ralph Leland

Resource Type:

Masters Thesis
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
Approximate solutions of Fredholm integral equations of the second kind with singular kernels

Creator:

Borer, David

Abstract:

The kernel subtraction method of Kantorovich and Krylov is studied in the setting of "Collectively Compact Operator Approximation Theory." Fredholm integral equations of the second kind have weakly singular kernels smoothened by a simple manipulation. This allows for accurate numerical estimates of low order. The method is first explained in...

Resource Type:

Masters Thesis
Spectral approximation theory for bounded linear operators

Creator:

Lo, Wen-so

Abstract:

In this thesis we examine the approximation theory of the eigenvalue problem of bounded linear operators defined on a Banach space, and its applications to integral and differential equations. Special cases include the degenerate kernel method, projection method, collocation method, the Galerkin method, the method of moments, and the generalized...

Resource Type:

Dissertation
The convergence of the discrete ordinates method for integral equations of anisotropic radiative transfer

Creator:

Nestell, Merlynd K.

Abstract:

See pdf

Resource Type:

Dissertation
Eigenfunction expansions for self-adjoint bilinear operators in Hilbert space

Creator:

Phillips, John Richard, 1934-

Abstract:

See pdf

Resource Type:

Dissertation
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
Convergence of positive operators

Creator:

James, Ralph Leland

Abstract:

The extension and convergence of positive operators is investigated by means of a monotone approximation technique. Some generalizations and extensions of Korovkin's monotone operator theorem on C[0, 1] are given. The concept of a regular set is introduced and it is shown that pointwise convergence is uniform on regular sets....

Resource Type:

Dissertation

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Academic Affiliation

Mathematics8

Advisor

Anselone, P. M.8

Commencement Year

Commencement Year range begin – Commencement Year range end

Current results range from 1965 to 1977

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Creator

Aalto, Sergei Kalvin2
James, Ralph Leland2
Borer, David1
Lo, Wen So1
Nestell, Merlynd K.1
more Creators »

Date

Date range begin – Date range end

Current results range from 1965 to 1977

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Decade

1970-19793
1960-19695

Degree Field

Mathematics8

Degree Level

Doctoral5
Master's3

Degree Name

Doctor of Philosophy (Ph.D.)5
Master of Science (M.S.)2
Master of Arts (M.A.)1

Language

English [eng]8

Non-Academic Affiliation

Oregon State University. Graduate School8

Peer Reviewed

No4

Resource Type

Dissertation5
Masters Thesis3

Rights Statement

Copyright Not Evaluated8

Subject

Integral equations4
Algebras, Linear1
Approximation theory1
Functional analysis.1
Hilbert space1
more Subjects »

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