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Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 08/2016, Volume 440, Issue 2, pp. 578 - 596
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 05/2019, Volume 352, pp. 194 - 209
A method for solving boundary value problems usually referred to as the unified transform or the Fokas method was introduced in the late nineties. A crucial... 
Global relation | Unified transform | Spatial-stepping | Euler method | MATHEMATICS, APPLIED | GENERALIZED DIRICHLET | IMPLEMENTATION | NEUMANN MAP
Journal Article
Complex Analysis and Operator Theory, ISSN 1661-8254, 4/2019, Volume 13, Issue 3, pp. 1143 - 1159
Journal Article
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 02/2019, Volume 475, Issue 2222, p. 20180605
This paper implements the unified transform to problems in unbounded domains with solutions having corner singularities. Consequently, a wide variety of mixed... 
Analytical methods | Wiener-Hopf | Unified transform | Mixed boundary conditions | SPECTRAL METHOD | ELEMENT METHOD | SINGULARITIES | MULTIDISCIPLINARY SCIENCES | LAPLACES-EQUATION | IMPLEMENTATION | SOUND | mixed boundary conditions | analytical methods | unified transform | SCATTERING | 1008 | s | 59 | 6 | Wiener–Hopf
Journal Article
The Journal of Supercomputing, ISSN 0920-8542, 8/2019, Volume 75, Issue 8, pp. 4947 - 4985
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 01/2017, Volume 262, Issue 1, pp. 506 - 558
Journal Article
Computational Methods in Applied Mathematics, ISSN 1609-4840, 10/2018, Volume 18, Issue 4, pp. 653 - 672
Journal Article
Opuscula Mathematica, ISSN 1232-9274, 2018, Volume 38, Issue 6, pp. 883 - 898
We study an initial value problem for the one-dimensional non-stationary linear Schrödinger equation with a point singular potential. In our approach, the... 
The Fokas unified transform method | Schrödinger equation | Interface problems | the Fokas unified transform method | interface problems
Journal Article
International Journal of Heat and Mass Transfer, ISSN 0017-9310, 08/2019, Volume 139, pp. 482 - 491
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 01/2018, Volume 352, pp. 246 - 264
Journal Article
Probabilistic Engineering Mechanics, ISSN 0266-8920, 04/2016, Volume 44, pp. 194 - 201
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 07/2019, Volume 141, pp. 2 - 18
The initial-boundary value problem on the half-line for the nonlinear Schrödinger equation supplemented with a Neumann boundary condition is shown to be... 
[formula omitted]-boundedness of Laplace transform | Integrable equations and solitons | Unified transform method | Nonlinear Schrödinger equation | Initial-boundary value problem with Neumann data | Well-posedness in Sobolev spaces on the half-line | boundedness of Laplace transform
Journal Article
IEEE Transactions on Parallel and Distributed Systems, ISSN 1045-9219, 12/2015, Volume 26, Issue 12, pp. 3394 - 3406
Journal Article
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 04/2015, Volume 471, Issue 2176, p. 20140884
We provide a new method to study the classical Dirichlet problem for Laplace's equation on a convex polyhedron. This new approach was motivated by Fokas'... 
Unified method | Boundary value problem | Paley-Wiener | Laplace | MULTIDISCIPLINARY SCIENCES | TRANSFORM METHOD | PDES | unified method | boundary value problem | 1008 | Paley–Wiener
Journal Article