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The solution of singular volterra integral equations by successive approximations

Creator:: James, Ralph Leland
Resource Type:: Masters Thesis
Full Text:: the other set oo T b 0 < ` I J 0 ¡` J J 33 BIBLIOGRAPHY 1. Anselone, P. M

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:: Id-d m I, HAIL I dl and I I A p m I I and a lower bound for Id!. Let I K(x, s) I < M, (0 < s

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
Full Text:: . M., Anselone The kernel subtraction method of Kantorovich and Krylov is studied in the setting of

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
Full Text:: . 1) (Ex - P)z 0 for all Z EH, where P is the orthogonal projection of H onto M. Proof: First

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
Full Text:: Abstract approved: Doctor of Philosophy (Degree) P. M. Anselone The extension and convergence of

An algorithm for the numerical calculation of the degree of a mapping

Creator:: Stynes, Martin J.
Resource Type:: Dissertation
Full Text:: CALCULATION OF THE DEGREE OF A MAPPING Abstract approved: Philip M. Anselone Let el be a continuous

Asymptotically compact operator approximation theory

Creator:: Treuden, Michael L.
Resource Type:: Dissertation
Full Text:: two theories and the known examples motivate the conjecture: Philip M. Anselone Redacted for

ScholarsArchive@OSU

The solution of singular volterra integral equations by successive approximations

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

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

Spectral approximation theory for bounded linear operators

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

Eigenfunction expansions for self-adjoint bilinear operators in Hilbert space

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

Convergence of positive operators

An algorithm for the numerical calculation of the degree of a mapping

Asymptotically compact operator approximation theory

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