| The Unified Transform Athanassios Fokas1; 1UNIVERSITY OF CAMBRIDGE, Cambridge, United Kingdom; PAPER: 332/Mathematics/Plenary (Oral) SCHEDULED: 14:00/Wed. 30 Nov. 2022/Arcadia 3 ABSTRACT: A new powerful hybrid numerical-analytic method for solving boundary value problems will be reviewed. This method, known as the unified transform or the Fokas Method, has its origin in the analysis of a particular class of nonlinear partial differential equations (PDEs) called integrable. However, in recent years it has found a large number of applications in the solution of linear evolution as well as elliptic PDEs (www.wikipedia.org/wiki/Fokas_method). |
