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4 papers · 2 filters
Mathematical Aspects of Vacuum Energy on Quantum Graphs
G. Berkolaiko, J. M. Harrison, J. H. Wilson
We use quantum graphs as a model to study various mathematical aspects of the vacuum energy, such as convergence of periodic path expansions, consistency among different methods (t…
Functional determinants for general self-adjoint extensions of Laplace-type operators resulting from the generalized cone
Klaus Kirsten, Paul Loya, Jinsung Park
In this article we consider the zeta regularized determinant of Laplace-type operators on the generalized cone. For {\it arbitrary} self-adjoint extensions of a matrix of singular…
Quantum graphs where back-scattering is prohibited
J. M. Harrison, U. Smilansky, B. Winn
We describe a new class of scattering matrices for quantum graphs in which back-scattering is prohibited. We discuss some properties of quantum graphs with these scattering matrice…
Deflated GMRES for Systems with Multiple Shifts and Multiple Right-Hand Sides
Dean Darnell, Ronald B. Morgan, Walter Wilcox
We consider solution of multiply shifted systems of nonsymmetric linear equations, possibly also with multiple right-hand sides. First, for a single right-hand side, the matrix is…