Many numerical methods have been developed for the solution of Poisson and Laplace equations such as finite-difference methods, finite-element methods, boundary-element methods, etc. Sinc numerical methods developed recently by Stenger and co-workers excel over other methods for problems involving singularities, infinite or semi-infinite domains as well as boundary layer behaviors. In this pape...

For a compact surface $X_0$, Thurston introduced compactification of its Teichm\"uller space $\mathcal T(X_0)$ by completing it with boundary $\mathcal{PML}(X_0)$ consisting projective measured geodesic laminations. We introduce similar bordification for the noncompact Riemann using technical tool currents. The lack compactness requires introduction certain uniformity conditions which were unne...

We study initial boundary value problems for linear scalar partial differential equations with constant coefficients, with spatial derivatives of arbitrary order, posed on the domain {t > 0, 0 < x < L}. We first show that by analysing the so-called global relation, which is an algebraic relation defined in the complex k-plane coupling all boundary values of the solution, it is possible to ident...