Ian David Abrahams

Cited by

	All	Since 2018
Citations	2956	1346
h-index	28	21
i10-index	79	44

280

140

210

198719881989199019911992199319941995199619971998199920002001200220032004200520062007200820092010201120122013201420152016201720182019202020212022202311 12 9 7 14 23 13 25 27 17 24 17 35 38 32 37 37 25 45 52 83 75 81 85 64 103 87 111 104 112 163 211 188 219 228 271 227

Public access

View all

35 articles

1 article

available

not available

Based on funding mandates

Co-authors

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
Andrew NorrisMechanical & Aerospace Engineering, Rutgers UniversityVerified email at rutgers.edu
Artur L GowerLecturer in Dynamics at the University of SheffieldVerified email at sheffield.ac.uk
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
Emmanuel Perrey-DebainProf. at Université de Technologie de CompiègneVerified email at utc.fr
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
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


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
A brief historical perspective of the Wiener–Hopf technique JB Lawrie, ID Abrahams Journal of Engineering Mathematics 59, 351-358, 2007	144	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	142	2000
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	117	1999
An exact analytical solution for discrete barrier options G Fusai, ID Abrahams, C Sgarra Finance and Stochastics 10, 1-26, 2006	110	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	109	2006
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	104	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	93	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	77	2000
Scattering of sound by two parallel semi-infinite screens ID Abrahams Wave Motion 9 (4), 289-300, 1987	66	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	61	2008
Active control of friction-driven oscillations MA Heckl, ID Abrahams Journal of Sound and Vibration 193 (1), 417-426, 1996	56	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	50	2002
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
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	45	1990
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	45	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	45	1981
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	44	2016
Analytical methods for perfect wedge diffraction: A review MA Nethercote, RC Assier, ID Abrahams Wave Motion 93, 102479, 2020	40	2020

The system can't perform the operation now. Try again later.

Articles 1–20

Citations per year

Duplicate citations

Merged citations

Add co-authorsCo-authors

Follow

Cited by

Co-authors