Beatrice Pelloni
Reader in Applied Mathematics Head of Department (Research) Department of Mathematics and Statistics
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Research Interests
- Boundary value problems for linear and nonlinear PDE's
- Riemann-Hilbert problems
- Integral transforms
- Integrable systems
- Spectral numerical methods
Unified Transform Method Gateway
Postgraduate
students
- Malachy McConnell (MSc 2002)
- Davinia Chilton (PhD 2006)
- Sanita Vetra (MSc 2007)
- David Smith (PhD 2011)
- David Gilbert (PhD start: Jan 2009)
- Nicolas Wehrning (PhD start: Sept 2011)
Selected publications
- The Dirichlet-to-Neumann map for the elliptic sine-Gordon equation, with A.S. Fokas, submitted to Nonlinearity
- Lagrangian solution of the fully compressible semigeostrophic system in physical space, with M.Cullen and D.K. Gilbert, submitted to SIAM J. An.
- Generalised Dirichlet-to-Neumann map in time-dependent domains, with A.S. Fokas, submitted to Selecta Math.
- The elliptic sine-Gordon equation in a semi-strip, with A.S. Fokas, J Nonlin Sci (accepted)(pdf)
- The elliptic sine-Gordon equation in a half plane, with
D.A. Pinotsis, Nonlinearity 23
(2010) 77-88. (pdf)
- Spectral analysis of the elliptic sine-Gordon equation in a
quarter plane,
Theor. Math.. Phys. (2009) 160(1), 1031-1041 (pdf)
- Boundary value problems for the N-wave interaction equations,
with D.A. Pinotsis, Phys.
Lett. A, (2009) 373, 1940-1950(pdf)
- The Klein-Gordon equation in a domain with time-dependent boundary,
with D.A. Pinotsis, Stud.
Appl. Math. (2008) 121, 291-312(pdf)
- Moving boundary value problems for the wave equation, with D.A. Pinotsis, J. Comp. Appl. Math., Proceedings of Waves2007, (in press)
- The Klein-Gordon equation on the half line: a Riemann-Hilbert approach, with D.A. Pinotsis, J. Nonl. Math. Phys, 15 (2008), 334-344
- Boundary value problems for third order linear PDEs in time dependent domains, Inv. Prob. (2008) 24, 015004 (19pp) (pdf)
- A generalised Dirichlet to Neumann map for moving boundary value problems, with A.S. Fokas, J. Math. Phys. (2007) 48, 013502 (pdf)
- Linear and nonlinear generalised Fourier transforms, Phil. Trans. A, special triennal issue (2006), 364, 1834 (e-offprint)
- The spectral representation of two-point boundary value problems for linear evolution equations, Proc. Roy. Soc. Lond. A (2005)461, 2965-2984 (pdf)
- The asymptotic behaviour of the solution of boundary value problems for the sine-Gordon equation on a finite interval, J. Nonl. Math. Phys. (2005) 12(4) (pdf)
- Localised coherent soluitons of DSI and DSII - a numerical study, with M. McConnell and A.S. Fokas, J. Math. Comp. Simul. (2005) 69 , 424-438 (pdf)
- A transform method for linear evolution PDEs on a finite interval, with A.S. Fokas, IMA J. Appl. Math. (2005) 70 , 1-24 (pdf)
- Boundary value problems for Boussinesq type systems , with A.S. Fokas, Math. Phys. Anal. Geom. (2005) 8 , 59-96 (also at www.kluweronline.com/issn/1385-0172)