Staff Profile:Dr Beatrice Pelloni

Name:

Dr Beatrice Pelloni

Job Title:

Head of Department

Responsibilities:

• Head of Department of Mathematics and Statistics (Academic Staff and Research)

Areas of Interest:

• Boundary value problems for linear and nonlinear PDE's 
• Applications of Riemann-Hilbert problems
• Integrable system
• Spectral numerical methods

Please visit this gateway to information about the "unified transform method for boundary value problems".

Research groups / Centres:

Publications:

Y

Jump to: 2012 | 2010 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2003 | 2002 | 2001 | 2000 | 1998

Number of items: 34.

2012

• Fokas, A. S. and Pelloni, B. (2012) The Dirichlet-to-Neumann map for the elliptic sine Gordon. Nonlinearity. ISSN 1361-6544 (In Press)
• Pelloni, B. and Fokas, A. S. (2012) Generalised Dirichelt-to-Neumann map in time dependent domains. Studies in Applied Mathematics. ISSN 0022-2526 doi: 10.1111/j.1467-9590.2011.00545.x (In Press)

2010

• Pelloni, B. and Pinotsis, D. (2010) The elliptic sine-Gordon equation in a half plane. Nonlinearity, 23 (1). pp. 77-88. ISSN 1361-6544 doi: 10.1088/0951-7715/23/1/004
• Pelloni, B. and Pinotsis, D. A. (2010) Moving boundary value problems for the wave equation. Journal of Computational and Applied Mathematics, 234 (6). pp. 1685-1691. ISSN 0377-0427 doi: 10.1016/j.cam.2009.08.016

2009

• Pelloni, B. and Pinotsis, D. (2009) Boundary value problems for the N-wave interaction equations. Physics Letters A, 373 (22). pp. 1940-1950. ISSN 0375-9601 doi: 10.1016/j.physleta.2009.03.064
• Pelloni, B. (2009) Spectral analysis of the elliptic sine-Gordon equation in the quarter plane. Theoretical and Mathematical Physics, 160 (1). pp. 1031-1041. ISSN 0040-5779

2008

• Pelloni, B. and Pinotsis, D. (2008) The Klein-Gordon equation in a domain with time-dependent boundary. Studies in Applied Mathematics, 121 (3). pp. 291-312. ISSN 0022-2526 doi: 10.1111/j.1467-9590.2008.00416.x
• Pelloni, B. (2008) Boundary value problems for third-order linear PDEs in time-dependent domains. Inverse Problems, 24 (1). 015004. ISSN 0266-5611 doi: 10.1088/0266-5611/24/1/015004
• Pelloni, B. and Pinotsis, D. A. (2008) The Klein-Gordon equation on the half line: a Riemann-Hilbert approach. Journal of Non-linear Mathematical Physics, 15 (s3). pp. 334-344. ISSN 1402-9251 doi: 10.2991/jnmp.2008.15.s3.32

2007

• Fokas, A. S. and Pelloni, B. (2007) Generalized Dirichlet to Neumann map for moving initial-boundary value problems. Journal of Mathematical Physics, 48 (1). 013502. ISSN 0022-2488 doi: DOI:10.1063/1.2405405

2006

• Pelloni, B. (2006) Linear and nonlinear generalized Fourier transforms. Philosophical Transactions of the Royal Society a-Mathematical Physical and Engineering Sciences, 364 (1849). pp. 3231-3249. ISSN 1364-503X

2005

• Fokas, A. S. and Pelloni, B. (2005) Boundary value problems for Boussinesq type systems. Mathematical Physics Analysis And Geometry, 8 (1). pp. 59-96.
• McConnell, M., Fokas, A. S. and Pelloni, B. (2005) Localised coherent solutions of the DSI and DSII equations - a numerical study. Mathematics And Computers In Simulation, 69 (5-6). pp. 424-438.
• Pelloni, B. (2005) The asymptotic behavior of the solution of boundary value problems for the sine-Gordon equation on a finite interval. Journal Of Nonlinear Mathematical Physics, 12 (4). pp. 518-529.
• Pelloni, B. (2005) The spectral representation of two-point boundary-value problems for third-order linear evolution partial differential equations. Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences, 461 (2061). pp. 2965-2984.
• Fokas, A. S. and Pelloni, B. (2005) A transform method for linear evolution PDEs on a finite interval. IMA Journal Of Applied Mathematics, 70 (4). pp. 564-587.

2004

• Pelloni, B. (2004) Boundary value problems. In: Scott, A. (ed.) Encyclopedia of Nonlinear Science. Routledge, pp. 27-74.
• Pelloni, B. (2004) Burgers equation. In: Scott, A. (ed.) Encyclopedia of Nonlinear Science. Routledge, pp. 82-84.
• Pelloni, B. (2004) Well-posed boundary value problems for linear evolution equations on a finite interval. Mathematical Proceedings of the Cambridge Philosophical Society, 136. pp. 361-382.

2003

• Pelloni, B. (2003) Linear and nonlinear waves on a finite interval. In: Proceedings of international workshop on nonlinear phenomena, 2002, Gallipoli.
• Pelloni, B. (2003) The propagation of nonlinear water waves in a bounded domain. In: Proceedings of 6th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Finland.

2002

• Pelloni, B. (2002) D-bar problems and the solution of the sine-Gordon equation in time-dependent convex domains. Communications in Applied Analysis, 6. pp. 179-196. ISSN 1083-2564
• Pelloni, B. (2002) Linear and nonlinear waves on a finite interval. In: International Workshop on Nonlinear Phenomena, Gallipoli.
• Pelloni, B. (2002) Well-posed boundary value problems for integrable evolution equations on a finite interval. Theoretical and Mathematical Physics, 133 (2). pp. 1598-1606. ISSN 0040-5779 doi: 10.1023/A:1021163230712

2001

• Pelloni, B. (2001) Error estimates for a fully discrete spectral scheme for a class of nonlinear, nonlocal dispersive wave equations. Applied Numerical Mathematics, 37 (1-2). pp. 95-107. ISSN 0168-9274 doi: 10.1016/S0168-9274(00)00027-1
• Pelloni, B. (2001) Numerical modelling of two-way propagation of non-linear dispersive waves. Mathematics and Computers in Simulation, 55 (4-6). pp. 595-606. ISSN 0378-4754 doi: 10.1016/S0378-4754(00)00305-0
• Fokas, A. S. and Pelloni, B. (2001) Integrable evolution equations in time-dependent domains. Inverse Problems, 17 (4). pp. 919-935. ISSN 0266-5611 doi: 10.1088/0266-5611/17/4/323
• Fokas, A. S. and Pelloni, B. (2001) Two-point boundary value problems for linear evolution equations. Mathematical Proceedings of the Cambridge Philosophical Society, 131 (3). pp. 521-543. ISSN 1469-8064 doi: 10.1017/S0305004101005436

2000

• Pelloni, B. and Dougalis, V.A. (2000) Numerical solution of some nonlocal, nonlinear dispersive wave equations. Journal of Nonlinear Science, 10 (1). pp. 1-22. ISSN 0938-8974 doi: 10.1007/s003329910001
• Pelloni, B. (2000) Initial boundary value problems for the nonlinear Schrödinger equation. Theoretical and Mathematical Physics, 122 (1). pp. 107-120. ISSN 0040-5779 doi: 10.1007/BF02551174
• Fokas, A. S. and Pelloni, B. (2000) Integral transforms, spectral representation and the d-bar prolem. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 456 (1996). pp. 805-833. ISSN 1364-5021 doi: 10.1098/rspa.2000.0538
• Fokas, A.S. and Pelloni, B. (2000) Method for Solving Moving Boundary Value Problems for Linear Evolution Equations. Physical Review Letters, 84 (21). pp. 4785-4789. ISSN 0031-9007 doi: 10.1103/PhysRevLett.84.4785

1998

• Papadakis, J.S., Dougalis, V.A., Kampanis, N.A., Flouri, E.T., Pelloni, B., Plaisant, A., Noutary, E., Bjorno, N., Nielsen, P. and Zhou, D. (1998) Ocean acoustic models for low frequency propagation in 2D and 3D environments. Acta Acustica United with Acustica, 84 (6). pp. 1031-1041. ISSN 1610-1928
• Fokas, A. S. and Pelloni, B. (1998) The solution of certain initial boundary-value problems for the linearized Korteweg--deVries equation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 454 (1970). pp. 645-657. ISSN 1364-5021 doi: 10.1098/rspa.1998.0178

This list was generated on Sat May 26 21:52:56 2012 BST.