The inverse boundary value problem - application in many-body perturbation theory

Surján, Péter R. and Mihálka, Éva Zsuzsanna and Szabados, Ágnes (2018) The inverse boundary value problem - application in many-body perturbation theory. Theoretical Chemistry Accounts. (In Press)

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Abstract

An algorithm is discussed to find boundary values to partial differential equations in the knowledge of the solution of that equation inside a part of the domain enclosed by the boundary. The method is used as a tool of analytic continuation to complement a method proposed recently (Mihálka and Surján, Phys. Rev. A. 96, 062106, 2017) for finding resummed values of divergent perturbation series.

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