2022-Sustainable Industrial Processing Summit
SIPS2022 Volume 16 Intl. Symp on Mathematics, Modelling and Geomechanics

Editors:F. Kongoli, E. Aifantis, T. Vougiouklis, A. Bountis, P. Mandell, R. Santilli, A. Konstantinidis, G. Efremidis.
Publisher:Flogen Star OUTREACH
Publication Year:2022
Pages:235 pages
ISBN:978-1-989820-64-3(CD)
ISSN:2291-1227 (Metals and Materials Processing in a Clean Environment Series)
CD-SIPS2022_Volume1
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    The Unified Transform

    Athanassios Fokas1;
    1UNIVERSITY OF CAMBRIDGE, Cambridge, United Kingdom;
    Type of Paper: Plenary
    Id Paper: 332
    Topic: 38

    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).

    Keywords:

    Mathematics; algorithms; PDEs; boundary value problems

    Cite this article as:

    Fokas A. (2022). The Unified Transform. In F. Kongoli, E. Aifantis, T. Vougiouklis, A. Bountis, P. Mandell, R. Santilli, A. Konstantinidis, G. Efremidis. (Eds.), Sustainable Industrial Processing Summit SIPS2022 Volume 16 Intl. Symp on Mathematics, Modelling and Geomechanics (pp. 143-144). Montreal, Canada: FLOGEN Star Outreach