322 citations
- Texas A&M UniversityUS22 papers
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Showing 2007 · math-phShow all
3 papers · 2 filters
math-ph2007★ 6 cited
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…
math-ph2007★ 28 cited
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…
math-ph2007★ 67 cited
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…