Ian David Abrahams

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Jane B LawrieBrunel UniversityVerified email at brunel.ac.uk
GW EvattSenior Lecturer in Applied Mathematics, University of ManchesterVerified email at manchester.ac.uk
Raphael AssierReader in Applied Mathematics, University of ManchesterVerified email at manchester.ac.uk
Andrew NorrisMechanical & Aerospace Engineering, Rutgers UniversityVerified email at rutgers.edu
Gianluca FusaiPiemonte OrientaleVerified email at eco.unipmn.it
Matthias HeilProfessor of Applied Mathematics, School of Mathematics, University of Manchester, UKVerified email at maths.man.ac.uk
Riccardo De PascalisUniversità del SalentoVerified email at unisalento.it
Artur L GowerLecturer in Dynamics at the University of SheffieldVerified email at sheffield.ac.uk
Carlo SgarraPolitecnico di MilanoVerified email at polimi.it
Emmanuel Perrey-DebainProf. at Université de Technologie de CompiègneVerified email at utc.fr
Katherine Helen JoyUniversity of ManchesterVerified email at manchester.ac.uk
Andrew R.D. SmedleyCentre for Atmospheric Science, University of ManchesterVerified email at manchester.ac.uk
Tom ShearerUniversity of ManchesterVerified email at manchester.ac.uk
Andrew J WillmottProfessor of Physical Oceanography, Newcastle UniversityVerified email at ncl.ac.uk
Paul A. MartinColorado School of MinesVerified email at mines.edu
Christoph MayerResearcher, Bavarian Academy of Sciences and Humanities, MunichVerified email at lrz.badw-muenchen.de
Jonathan KingslakeColumbia UniversityVerified email at columbia.edu
Sarah MitchellLecturer in Applied Mathematics, University of LimerickVerified email at ul.ie
Chris D ClarkSorby Chair of Geoscience, University of Sheffield, UKVerified email at sheffield.ac.uk
Victor V KrylovProfessor Emeritus of Acoustics and Vibration, Loughborough UniversityVerified email at lboro.ac.uk

Ian David Abrahams

Professor of Applied Mathematics, University of Cambridge

Verified email at cam.ac.uk - Homepage

Applied Mathematics Wave Mechanics Complex Variable Theory Boundary Value Problems


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Curve squeal of train wheels, part 1: mathematical model for its generation MA Heckl, ID Abrahams Journal of Sound and Vibration 229 (3), 669-693, 2000	135	2000
A brief historical perspective of the Wiener–Hopf technique JB Lawrie, ID Abrahams Journal of Engineering Mathematics 59 (4), 351-358, 2007	122	2007
An exact analytical solution for discrete barrier options G Fusai, ID Abrahams, C Sgarra Finance and Stochastics 10 (1), 1-26, 2006	100	2006
Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves WJ Parnell, ID Abrahams Wave Motion 43 (6), 474-498, 2006	97	2006
An orthogonality relation for a class of problems with high-order boundary conditions; applications in sound-structure interaction JB Lawrie, ID Abrahams The Quarterly Journal of Mechanics and Applied Mathematics 52 (2), 161-181, 1999	94	1999
On nonlinear viscoelastic deformations: a reappraisal of Fung's quasi-linear viscoelastic model R De Pascalis, ID Abrahams, WJ Parnell Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2014	85	2014
Glacial melt under a porous debris layer GW Evatt, ID Abrahams, M Heil, C Mayer, J Kingslake, SL Mitchell, ... Journal of Glaciology 61 (229), 825-836, 2015	76	2015
The application of Padéapproximants to Wiener–Hopf factorization ID Abrahams IMA Journal of Applied Mathematics 65 (3), 257-281, 2000	72	2000
Flexural edge waves and Comments on “A new bending wave solution for the classical plate equation” [J. Acoust. Soc. Am. 104, 2220–2222 (1998)] AN Norris, VV Krylov, ID Abrahams The Journal of the Acoustical Society of America 107 (3), 1781-1784, 2000	71	2000
Active control of friction-driven oscillations MA Heckl, ID Abrahams Journal of Sound and Vibration 193 (1), 417-426, 1996	56	1996
Scattering of sound by two parallel semi-infinite screens ID Abrahams Wave Motion 9 (4), 289-300, 1987	56	1987
Homogenization for wave propagation in periodic fibre-reinforced media with complex microstructure. i—theory WJ Parnell, ID Abrahams Journal of the Mechanics and Physics of Solids 56 (7), 2521-2540, 2008	55	2008
On the solution of Wiener--Hopf problems involving noncommutative matrix kernel decompositions ID Abrahams SIAM Journal on Applied Mathematics 57 (2), 541-567, 1997	51	1997
Scattering of sound by a heavily loaded finite elastic plate ID Abrahams Proceedings of the Royal Society of London. A. Mathematical and Physical …, 1981	44	1981
On the scattering of sound by two semi-infinite parallel staggered plates-I. Explicit matrix Wiener-Hopf factorization ID Abrahams, GR Wickham Proceedings of the Royal Society of London. A. Mathematical and Physical …, 1988	43	1988
On the application of the Wiener–Hopf technique to problems in dynamic elasticity ID Abrahams Wave Motion 36 (4), 311-333, 2002	40	2002
Scattering of sound by an elastic plate with flow ID Abrahams Journal of Sound and Vibration 89 (2), 213-231, 1983	39	1983
On the existence of flexural edge waves on thin orthotropic plates I Thompson, ID Abrahams, AN Norris The Journal of the Acoustical Society of America 112 (5), 1756-1765, 2002	38	2002
On the non-commutative factorization of Wiener-Hopf kernels of Khrapkov type ID Abrahams Proceedings of the Royal Society of London. Series A: Mathematical, Physical …, 1998	38	1998
General Wiener–Hopf factorization of matrix kernels with exponential phase factors ID Abrahams, GR Wickham SIAM Journal on Applied Mathematics 50 (3), 819-838, 1990	38	1990

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