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Research Output

2019

Evolution equations on time-dependent intervals

Fokas, A. S., Pelloni, B. & Xia, B., Oct 2019, In : IMA Journal of Applied Mathematics. 84, 5, p. 1044-1060 17 p.

Research output: Contribution to journalArticle

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6 Downloads (Pure)
Open Access
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17 Downloads (Pure)
2018

A numerical implementation of the unified Fokas transform for evolution problems on a finite interval

Kesici, E., Pelloni, B., Pryer, T. & Smith, D., Jun 2018, In : European Journal of Applied Mathematics. 29, 3, p. 543-567 25 p.

Research output: Contribution to journalArticle

Open Access
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17 Downloads (Pure)

Integrable nonlinear PDEs on the half-line

Pelloni, B. & Fokas, A. S., 2018, (Accepted/In press) Nonlinear systems and their remarkable mathematical structures. CRC Press

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

Nonlocal and multipoint boundary value problems for linear evolution equations

Pelloni, B. & Smith, D. A., Jul 2018, In : Studies in Applied Mathematics. 141, 1, p. 46-88

Research output: Contribution to journalArticle

Open Access
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12 Downloads (Pure)
2016

Evolution PDEs and augmented eigenfunctions. Half-line

Pelloni, B. & Smith, D. A., 2016, In : Journal of Spectral Theory. 6, 1, p. 185–213 29 p.

Research output: Contribution to journalArticle

Open Access
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35 Downloads (Pure)
2015

Advances in the study of boundary value problems for nonlinear integrable PDEs

Pelloni, B., Feb 2015, In : Nonlinearity. 28, 2

Research output: Contribution to journalArticle

2014

Non-steady state heat conduction in composite walls

Deconinck, B., Pelloni, B. & Shiels, N., May 2014, In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 470, 2165, 22 p.

Research output: Contribution to journalArticle

Solutions of the fully compressible semi-geostrophic system

Cullen, M. J. P., Gilbert, D. K. & Pelloni, B., 2014, In : Communications in Partial Differential Equations. 39, 4, p. 591-625 35 p.

Research output: Contribution to journalArticle

Open Access
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16 Downloads (Pure)

The elliptic sine-Gordon equation - a nonlinear elliptic integrable PDE

Pelloni, B., 2014, Stock Image Unified Transform for Boundary Value Problems: Applications and Advances. Fockas, A. S. & Pelloni, B. (eds.). SIAM, p. 73-90 18 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

2013

Boundary value problems for the elliptic sine-Gordon equation in a semi-strip

Fokas, A. S., Lenells, J. & Pelloni, B., Apr 2013, In : Journal of Nonlinear Science. 23, 2, p. 241-282 42 p.

Research output: Contribution to journalArticle

Spectral theory of some non-selfadjoint linear differential operators

Pelloni, B. & Smith, D. A., Jun 2013, In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 469, 2154, 21 p., 20130019.

Research output: Contribution to journalArticle

2012

Generalised Dirichelt-to-Neumann map in time dependent domains

Pelloni, B. & Fokas, A. S., Jul 2012, In : Studies in Applied Mathematics. 129, 1, p. 51-90 40 p.

Research output: Contribution to journalArticle

The Dirichlet-to-Neumann map for the elliptic sine-Gordon equation

Fokas, A. S. & Pelloni, B., Apr 2012, In : Nonlinearity. 25, 4, p. 1011-1031 21 p.

Research output: Contribution to journalArticle

2010

Moving boundary value problems for the wave equation

Pelloni, B. & Pinotsis, D., 15 Jul 2010, In : Journal of Computational and Applied Mathematics. 234, 6, p. 1685-1691 7 p.

Research output: Contribution to journalArticle

The elliptic sine-Gordon equation in a half plane

Pelloni, B. & Pinotsis, D., Jan 2010, In : Nonlinearity. 23, 1, p. 77-88 12 p.

Research output: Contribution to journalArticle

2009

Boundary value problems for the N-wave interaction equations

Pelloni, B. & Pinotsis, D., 11 May 2009, In : Physics Letters A. 373, 22, p. 1940-1950 11 p.

Research output: Contribution to journalArticle

Spectral analysis of the elliptic sine-Gordon equation in the quarter plane

Pelloni, B., Jul 2009, In : Theoretical and Mathematical Physics. 160, 1, p. 1031-1041 11 p.

Research output: Contribution to journalArticle

2008

Boundary value problems for third-order linear PDEs in time-dependent domains

Pelloni, B., Feb 2008, In : Inverse Problems. 24, 1, 015004.

Research output: Contribution to journalArticle

The Klein–Gordon Equation in a Domain with Time-Dependent Boundary

Pelloni, B. & Pinotsis, D. A., Oct 2008, In : Studies in Applied Mathematics. 121, 3, p. 291-312 22 p.

Research output: Contribution to journalArticle

The Klein-Gordon Equation on the Half Line: a Riemann-Hilbert Approach

Pelloni, B. & Pinotsis, D. A., 2008, In : Journal of Nonlinear Mathematical Physics. 15, Supplement 3, p. 334-336 3 p.

Research output: Contribution to journalArticle

2007

Generalized Dirichlet to Neumann map for moving initial-boundary value problems

Fokas, A. S. & Pelloni, B., Jan 2007, In : Journal of Mathematical Physics. 48, 1, 013502.

Research output: Contribution to journalArticle

2006
2005

A transform method for linear evolution PDEs on a finite interval

Fokas, A. S. & Pelloni, B., Aug 2005, In : IMA Journal of Applied Mathematics. 70, 4, p. 564-587 24 p.

Research output: Contribution to journalArticle

Boundary value problems

Pelloni, B., 2005, Encyclopedia of Nonlinear Science. Scott, A. (ed.). Routledge, p. 72-74 3 p.

Research output: Chapter in Book/Report/Conference proceedingEntry for encyclopedia/dictionary

Boundary Value Problems for Boussinesq Type Systems

Fokas, A. S. & Pelloni, B., Feb 2005, In : Mathematical Physics, Analysis and Geometry. 8, 1, p. 59-96 38 p.

Research output: Contribution to journalArticle

Burgers equation

Pelloni, B., 2005, Encyclopedia of Nonlinear Science. Scott, A. (ed.). Routledge, p. 82-84 3 p.

Research output: Chapter in Book/Report/Conference proceedingEntry for encyclopedia/dictionary

Localised coherent solutions of the DSI and DSII equations - a numerical study

McConnell, M., Fokas, A. S. & Pelloni, B., 5 Aug 2005, In : Mathematics and Computers in Simulation. 69, 5-6, p. 424-438 15 p.

Research output: Contribution to journalArticle

2004
2003

Linear and nonlinear waves on a finite interval

Pelloni, B., Apr 2003, Nonlinear Physics: Theory and Experiment II. Ablowitz, M. J., Boiti, M. & Pempinelli, F. (eds.). World Scientific Publishing, p. 287-294 8 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

The propagation of nonlinear water waves in a bounded domain

Pelloni, B., 2003, Mathematical and Numerical Aspects of Wave Propagation WAVES 2003: Proceedings of The Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation Held at Jyväskylä, Finland, 30 June – 4 July 2003. Springer, p. 711-716 6 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2002

Well-Posed Boundary Value Problems for Integrable Evolution Equations on a Finite Interval

Pelloni, B., Nov 2002, In : Theoretical and Mathematical Physics. 133, 2, p. 1598-1606 9 p.

Research output: Contribution to journalArticle

2001

Integrable evolution equations in time-dependent domains

Fokas, A. S. & Pelloni, B., Aug 2001, In : Inverse Problems. 17, 4, p. 919-935 17 p.

Research output: Contribution to journalArticle

Numerical modelling of two-way propagation of non-linear dispersive waves

Pelloni, B. & Dougalis, V. A., 15 Mar 2001, In : Mathematics and Computers in Simulation. 55, 4-6, p. 595-606 12 p.

Research output: Contribution to journalArticle

Two-point boundary value problems for linear evolution equations

Fokas, A. S. & Pelloni, B., Nov 2001, In : Mathematical Proceedings of the Cambridge Philosophical Society. 131, 3, p. 521-543 23 p.

Research output: Contribution to journalArticle

2000

Initial boundary value problems for the nonlinear Schrödinger equation

Pelloni, B., Jan 2000, In : Theoretical and Mathematical Physics. 122, 1, p. 107-120 14 p.

Research output: Contribution to journalArticle

Integral transforms, spectral representation and the d-bar prolem

Fokas, A. S. & Pelloni, B., Apr 2000, In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 456, 1996, p. 805-833 29 p.

Research output: Contribution to journalArticle

Method for Solving Moving Boundary Value Problems for Linear Evolution Equations

Fokas, A. S. & Pelloni, B., May 2000, In : Physical Review Letters. 84, 21, p. 4785-4789 5 p.

Research output: Contribution to journalArticle

Numerical Solution of Some Nonlocal, Nonlinear Dispersive Wave Equations

Pelloni, B. & Dougalis, V. A., Feb 2000, In : Journal of Nonlinear Science. 10, 1, p. 1-22 22 p.

Research output: Contribution to journalArticle

1998

Ocean acoustic models for low frequency propagation in 2D and 3D environments

Papadakis, J. S., Dougalis, V. A., Kampanis, N. A., Flouri, E. T., Pelloni, B., Plaisant, A., Noutary, E., Bjorno, N., Nielsen, P. & Zhou, D., Nov 1998, In : Acta Acustica united with Acustica. 84, 6, p. 1031-1041 11 p.

Research output: Contribution to journalArticle