In this section, a simple algorithm is developed for extracting the lengths from the short-time hyper-asymptotic expansion of the trace. An alternative short-time expansion of the trace is given by constructing a ray approximation to Green’s function of the heat equation for a planar domain with Dirichlet or Neumann boundary conditions and by evaluating the trace by introducing the rays as global coordinates.
|Title of host publication||Applied Mathematical Sciences (Switzerland)|
|Number of pages||29|
|State||Published - 2018|
|Name||Applied Mathematical Sciences (Switzerland)|