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Fast iterative methods for Wiener-Hopf equations林福榮, Lin, Fu-rong. January 1995 (has links)
published_or_final_version / abstract / toc / Mathematics / Doctoral / Doctor of Philosophy
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Fast iterative methods for Wiener-Hopf equations /Lin, Fu-rong. January 1900 (has links)
Thesis (Ph. D.)--University of Hong Kong, 1995. / Photocopy of the original. Includes bibliographical references (leaf 92-96).
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Boundary value and Wiener-Hopf problems for abstract kinetic equations with nonregular collision operatorsGanchev, Alexander Hristov January 1986 (has links)
We study the linear abstract kinetic equation T𝜑(x)′=-A𝜑(x) in the half space {x≥0} with partial range boundary conditions. The function <i>ψ</i> takes values in a Hilbert space H, T is a self adjoint injective operator on H and A is an accretive operator. The first step in the analysis of this boundary value problem is to show that T⁻¹A generates a holomorphic bisemigroup. We prove two theorems about perturbation of bisemigroups that are interesting in their own right. The second step is to obtain a special decomposition of H which is equivalent to a Wiener-Hopf factorization. The accretivity of A is crucial in this step. When A is of the form "identity plus a compact operator", we work in the original Hilbert space. For unbounded A’s we consider weak solutions in a larger space H<sub>T</sub>, which has a natural Krein space structure. Using the Krein space geometry considerably simplifies the analysis of the question of unique solvability. / Ph. D. / incomplete_metadata
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Multigroup transport equations with nondiagonal cross section matricesWillis, Barton L. January 1985 (has links)
It is shown that multigroup transport equations with nondiagonal cross section matrices arise when the modal approximation is applied to energy dependent transport equations. This work is a study of such equations for the case that the cross section matrix is nondiagonalizable. For the special case of a two-group problem with a noninvertible scattering matrix, the problem is solved completely via the Wiener-Hopf method. For more general problems, generalized Chandrasekhar H equations are derived. A numerical method for their solution is proposed. Also, the exit distribution is written in terms of the H functions. / Ph. D. / incomplete_metadata
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