Articles (since 2020)
L.Boulton, B. Macpherson and B.Pelloni, Jumps, cusps and fractals in the solution of the periodic linear Benjamin-Ono equation, submitted (2025)
L. Boulton, G. Farmakis, B. Pelloni and D.A. Smith, Jumps and cusps: Talbot effect in non-periodic dispersive PDEs, submitted (2024)
B. Pelloni and D.A. Smith, Revivals, or the Talbot effect, for the Airy equation, Stud Appl Math, in press (2024)
L. Boulton, G. Farmakis and B. Pelloni, The phenomenon of revivals on complex potential Schrödinger's equation, ZAA, in press (2024)
B. Pelloni, B. and Smith, D. A. , The role of periodicity in the solution of third order boundary value problems, in Chaos, Fractals and Complexity, SPCOM, Springer (2023)
D. Bourne, C.J.Cotter, M.J.P. Cullen, C. Egan, B. Pelloni, S. Roper, M. WIlkinson, A new implementation of the geometric method for solving the Eady slice equations, J Comp Phys 469 (2022)
A.S. Fokas, B. Pelloni and D.A. Smith, Time-periodic linear boundary value problems on a finite interval Q J Appl Math 80 (2022)
D. Bourne, C. Egan, B. Pelloni and M. Wilkinson, Semi-discrete optimal transport methods for the semi-geostrophic equations, Calc. Var. PDE 61 (2022)
L. Boulton, G. Farmakis and B. Pelloni, Beyond periodic revivals for linear dispersive PDEs, Proc. Royal Soc A 477 (2022)
L. Boulton, P.J. Olver, B. Pelloni and D.A. Smith, New revival phenomena for linear integro-differential equations Stud Appl Math 147 (2021)
Selected articles ( until 2020 - links available here)
A.S. Fokas, B. Pelloni and Baoqiang Xia, Evolution equations on time-dependent intervals, IMA J. Applied Math. 84 (2019)
M.J.P. Cullen, T. Kuna, B. Pelloni and M. Wilkinson The Stability Principle and global weak solutions of the free-surface semi-geostrophic equations Proc. Royal Soc. London A, 475 (2019)
B. Pelloni, B. and Smith, D. A. , Nonlocal and multipoint boundary value problems for linear PDEs, Studies in Applied Math. 141 (2018)
Kesici E., Pelloni B., Pryer T. and Smith, D.A., Numerical implementation of the unified Fokas transform for evolution problems on a finite interval, European Journal of Applied Math. 29 (2018)
B. Pelloni and D.A. Smith, Evolution PDEs and augmented eigenfunctions. The half-line case, J. Spectral Theory 6 (2016)
B. Deconinck, B.Pelloni and N. Shiels, Non-steady state heat conduction in composite walls, Proc. Royal Soc. London A 470 (2014)
B. Pelloni, B. and Smith, D. A. , Spectral theory of some non-selfadjoint linear differential operators, Proc.Royal Soc. Lond. A 469 (2013)
A.S. Fokas, J. Lenells and B. Pelloni, Explicit solutions for the elliptic sine-Gordon equation in a semistrip, J. Nonlin. Sci 23 (2013)
B. Pelloni and D. Pinotsis, Boundary value problems for the N-wave teraction equation, Phys. Lett. A 373 (2009)
A.S. Fokas and B. Pelloni, Boundary value problems for Boussinesq type systems, Math. Phys. Anal. Geom. 8 (2005)
A.S. Fokas and B. Pelloni, A transform method for linear evolution PDEs on a finite interval, IMA J. of Appl. Math. 70 (2005)
B. Pelloni, The spectral representation of two-point boundary value problems for linear evolution equations, Proc. R. Soc. London A 461 (2005)
V.A. Dougalis and B. Pelloni, The numerical solution of a class of systems modelling two-way long wave propagation, J. Math.and Comp.in Simulation, 55 (2001)
V.A. Dougalis and B. Pelloni, Error estimates for a fully discrete spectral scheme for a class of nonlinear nonlocal dispersive wave equations, Appl. Num. Math. 37 (2001)
A.S. Fokas and B. Pelloni, A method of solving moving boundary value problems for linear evolution equations, Phys. Rev. Lett. 84 (2000)
A.S. Fokas and B. Pelloni, Integral transforms, spectral representations and the d-bar problem, Proc. R. Soc. London A 456 (2000)
V.A. Dougalis and B. Pelloni, Numerical solution of some nonlocal, nonlinear dispersive wave equations, J. Nonlinear Sci. 10 (2000)
A.S. Fokas and B. Pelloni, The solution of certain initial boundary value problems for the linearized Korteweg-deVries equation, Proc. R. Soc. Lond. A 454 (1998)