Ian David Abrahams

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Jane B LawrieProfessor of Applied Mathematics, Brunel 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
Artur L GowerSenior lecturer in dynamics at the University of SheffieldVerified email at sheffield.ac.uk
Andrew NorrisMechanical & Aerospace Engineering, Rutgers UniversityVerified email at rutgers.edu
Matthias HeilProfessor of Applied Mathematics, Department of Mathematics, University of Manchester, UKVerified email at maths.manchester.ac.uk
Riccardo De PascalisUniversità del SalentoVerified email at unisalento.it
Gianluca FusaiPiemonte OrientaleVerified email at eco.unipmn.it
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
Carlo SgarraPolitecnico di MilanoVerified email at polimi.it
Tom ShearerUniversity of ManchesterVerified email at manchester.ac.uk
Emmanuel Perrey-DebainProf. at Université de Technologie de CompiègneVerified email at utc.fr
Andrew J WillmottProfessor of Physical Oceanography, Newcastle UniversityVerified email at ncl.ac.uk
Paul A. MartinColorado School of MinesVerified email at mines.edu
David NigroVisiting academicVerified email at manchester.ac.uk
Matthew A. NethercoteUniversity of ManchesterVerified email at manchester.ac.uk
Christoph MayerResearcher, Bavarian Academy of Sciences and Humanities, MunichVerified email at lrz.badw-muenchen.de
Jonathan KingslakeColumbia UniversityVerified email at columbia.edu
Sarah MitchellAssociate Professor in Applied Mathematics, University of LimerickVerified email at ul.ie

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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A brief historical perspective of the Wiener–Hopf technique JB Lawrie, ID Abrahams Journal of Engineering Mathematics 59, 351-358, 2007	154	2007
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	153	2000
An exact analytical solution for discrete barrier options G Fusai, ID Abrahams, C Sgarra Finance and Stochastics 10, 1-26, 2006	119	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	118	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	113	2014
Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves WJ Parnell, ID Abrahams Wave Motion 43 (6), 474-498, 2006	112	2006
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	111	2015
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	83	2000
The application of Padéapproximants to Wiener–Hopf factorization ID Abrahams IMA Journal of Applied Mathematics 65 (3), 257-281, 2000	79	2000
Scattering of sound by two parallel semi-infinite screens ID Abrahams Wave Motion 9 (4), 289-300, 1987	68	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	62	2008
Active control of friction-driven oscillations MA Heckl, ID Abrahams Journal of Sound and Vibration 193 (1), 417-426, 1996	59	1996
On the solution of Wiener--Hopf problems involving noncommutative matrix kernel decompositions ID Abrahams SIAM Journal on Applied Mathematics 57 (2), 541-567, 1997	55	1997
On the application of the Wiener–Hopf technique to problems in dynamic elasticity ID Abrahams Wave Motion 36 (4), 311-333, 2002	51	2002
Antiplane elastic wave propagation in pre-stressed periodic structures; tuning, band gap switching and invariance EG Barnwell, WJ Parnell, ID Abrahams Wave Motion 63, 98-110, 2016	48	2016
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	47	1990
Analytical methods for perfect wedge diffraction: a review MA Nethercote, RC Assier, ID Abrahams Wave Motion 93, 102479, 2020	46	2020
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	46	2002
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	46	1988
Scattering of sound by a heavily loaded finite elastic plate ID Abrahams Proceedings of the Royal Society of London. A. Mathematical and Physical …, 1981	46	1981

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