2 papers
math.AP2022
The analytic extension of solutions to initial-boundary value problems outside their domain of definition
Matthew Farkas, Jorge Cisneros, Bernard Deconinck
We examine the analytic extension of solutions of linear, constant-coefficient initial-boundary value problems outside their spatial domain of definition. We use the Unified Transf…
math.NA2021
The numerical solution of semidiscrete linear evolution problems on the finite interval using the Unified Transform Method
Jorge Cisneros, Bernard Deconinck
We study a semidiscrete analogue of the Unified Transform Method introduced by A. S. Fokas, to solve initial-boundary-value problems for linear evolution partial differential equat…