A transform method for linear evolution PDEs on a finite interval AS Fokas, B Pelloni IMA journal of applied mathematics 70 (4), 564-587, 2005 | 100 | 2005 |
Two-point boundary value problems for linear evolution equations AS Fokas, B Pelloni Mathematical Proceedings of the Cambridge Philosophical Society 131 (3), 521-543, 2001 | 59 | 2001 |
The spectral representation of two-point boundary-value problems for third-order linear evolution partial differential equations B Pelloni Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2005 | 55 | 2005 |
Unified transform for boundary value problems: applications and advances AS Fokas, B Pelloni Society for Industrial and Applied Mathematics, 2014 | 54 | 2014 |
Non-steady-state heat conduction in composite walls B Deconinck, B Pelloni, NE Sheils Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2014 | 52 | 2014 |
Method for solving moving boundary value problems for linear evolution equations AS Fokas, B Pelloni Physical review letters 84 (21), 4785, 2000 | 49 | 2000 |
Well-posed boundary value problems for linear evolution equations on a finite interval B Pelloni Mathematical Proceedings of the Cambridge Philosophical Society 136 (2), 361-382, 2004 | 48 | 2004 |
Boundary value problems for Boussinesq type systems AS Fokas, B Pelloni Mathematical Physics, Analysis and Geometry 8, 59-96, 2005 | 47 | 2005 |
The solution of certain initial boundary-value problems for the linearized Korteweg—deVries equation AS Fokas, B Pelloni Proceedings of the Royal Society of London. Series A: Mathematical, Physical …, 1998 | 47 | 1998 |
The elliptic sine-Gordon equation in a half plane B Pelloni, DA Pinotsis Nonlinearity 23 (1), 77, 2009 | 38 | 2009 |
The Dirichlet-to-Neumann map for the elliptic sine-Gordon equation AS Fokas, B Pelloni Nonlinearity 25 (4), 1011, 2012 | 37 | 2012 |
Numerical solution of some nonlocal, nonlinear dispersive wave equations B Pelloni, VA Dougalis Journal of Nonlinear Science 10, 1-22, 2000 | 36 | 2000 |
Localised coherent solutions of the DSI and DSII equations—a numerical study M McConnell, AS Fokas, B Pelloni Mathematics and Computers in Simulation 69 (5-6), 424-438, 2005 | 35 | 2005 |
Generalized Dirichlet to Neumann map for moving initial-boundary value problems AS Fokas, B Pelloni Journal of mathematical physics 48 (1), 2007 | 32 | 2007 |
Integral transforms, spectral representation and the d-bar problem AS Fokas, B Pelloni Proceedings of the Royal Society of London. Series A: Mathematical, Physical …, 2000 | 31 | 2000 |
A numerical implementation of the unified Fokas transform for evolution problems on a finite interval E Kesici, B Pelloni, T Pryer, D Smith European Journal of Applied Mathematics 29 (3), 543-567, 2018 | 30 | 2018 |
Numerical modelling of two-way propagation of non-linear dispersive waves B Pelloni, VA Dougalis Mathematics and computers in simulation 55 (4-6), 595-606, 2001 | 29 | 2001 |
Error estimates for a fully discrete spectral scheme for a class of nonlinear, nonlocal dispersive wave equations B Pelloni, VA Dougalis Applied numerical mathematics 37 (1-2), 95-107, 2001 | 28 | 2001 |
Advances in the study of boundary value problems for nonlinear integrable PDEs B Pelloni Nonlinearity 28 (2), R1, 2015 | 26 | 2015 |
The asymptotic behavior of the solution of boundary value problems for the sine-Gordon equation on a finite interval B Pelloni Journal of Nonlinear Mathematical Physics 12 (4), 518-529, 2005 | 25 | 2005 |