David Abrahams

Q: What Schools Are Affiliated With David Abrahams

David Abrahams is affiliated with the following schools: Imperial College London, University of Oxford, Newcastle University, Keele University, University of Manchester, University of Cambridge

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David Abrahams

Mathematics

#4335

World Rank

#6179

Historical Rank

Measure Theory

#3556

World Rank

#4196

Historical Rank

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Mathematics

David Abrahams 's Degrees

Masters Mathematics University of Oxford
Bachelors Mathematics University of Oxford

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Why Is David Abrahams Influential?

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According to Wikipedia, Ian David Abrahams is an English mathematician and held the Beyer Professor of Applied Mathematics at the University of Manchester, 2008–2016. From 2014 to 2016 he was Director of the International Centre for Mathematical Sciences in Edinburgh and in October 2016 he succeeded John Toland as Director of the Isaac Newton Institute for Mathematical Sciences, and N M Rothschild and Sons Professor of Mathematics, in Cambridge. He was President 2007–2009, of the Institute of Mathematics and its Applications. In 2017 he was awarded the IMA/LMS David Crighton Medal for services to mathematics.

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David Abrahams 's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A brief historical perspective of the Wiener–Hopf technique (2007) (118)
Curve squeal of train wheels, Part 1: mathematical model for its generation (2000) (104)
An Orthogonality Relation for a Class of Problems with High-Order Boundary Conditions (1999) (90)
An exact analytical solution for discrete barrier options (2006) (88)
Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves. (2006) (84)
Glacial melt under a porous debris layer (2015) (79)
On nonlinear viscoelastic deformations: a reappraisal of Fung's quasi-linear viscoelastic model (2014) (67)
The application of Padéapproximants to Wiener–Hopf factorization (2000) (53)
Scattering of sound by two parallel semi-infinite screens (1987) (51)
Homogenization for wave propagation in periodic fibre reinforced media with complex microstructure. I - Theory (2008) (51)
Antiplane elastic wave propagation in pre-stressed periodic structures; tuning, band-gap switching and invariance (2016) (40)
Scattering of sound by a heavily loaded finite elastic plate (1981) (37)
On the scattering of sound by two semi-infinite parallel staggered plates - I. Explicit matrix Wiener-Hopf factorization (1988) (36)
Scattering of sound by an elastic plate with flow (1983) (35)
General Wiener-Hopf factorization of matrix kernels with exponential phase factors (1990) (34)
On the existence of flexural edge waves on thin orthotropic plates. (2002) (33)
On the application of the Wiener-Hopf technique to problems in dynamic elasticity (2002) (32)
Active control of friction-driven oscillations (1996) (31)
The scattering of water waves by two semi-infinite opposed vertical walls (1991) (30)
On the non-commutative factorization of Wiener-Hopf kernels of Khrapkov type (1998) (30)
THE WIENER–HOPF TECHNIQUE AND DISCRETELY MONITORED PATH‐DEPENDENT OPTION PRICING (2010) (30)
Radiation and scattering of waves on an elastic half-space; A non-commutative matrix Wiener-Hopf problem (1996) (29)
Torsional wave propagation in a pre-stressed hyperelastic annular circular cylinder (2013) (28)
Homogenization Methods to Approximate theEffective Response of RandomFibre-reinforced Composites (2012) (27)
Analytical methods for perfect wedge diffraction: A review (2019) (26)
Multiple point scattering to determine the effective wavenumber and effective material properties of an inhomogeneous slab (2010) (23)
Effective Properties of a Composite Half-Space: Exploring the Relationship Between Homogenization and Multiple-Scattering Theories (2010) (23)
The scattering of sound by two semi-infinite parallel staggered plates. II. Evaluation of the velocity potential for an incident plane wave and an incident duct mode (1990) (22)
Tunable elastodynamic band gaps (2017) (22)
On transient oscillations of plates in moving fluids (2001) (22)
On the Solution of Wiener-Hopf Problems Involving Noncommutative Matrix Kernel Decompositions (1997) (21)
Scattering of sound by three semi-infinite planes (1987) (20)
The propagation of elastic waves in a certain class of inhomogeneous anisotropic materials. I. The refraction of a horizontally polarized shear wave source (1992) (19)
The inflation of viscoelastic balloons and hollow viscera (2018) (19)
An integral equation method for the homogenization of unidirectional fibre-reinforced media; antiplane elasticity and other potential problems (2017) (18)
Scattering of elastic waves by an arbitrary small imperfection in the surface of a half-space (1992) (17)
Deflection of a Partially Clamped Elastic Plate (2002) (17)
A potential hidden layer of meteorites below the ice surface of Antarctica (2016) (17)
Acoustic scattering by a finite nonlinear elastic plate. I Primary, secondary and combination resonances (1987) (17)
The effect of surface tension on trapped modes in water-wave problems (2007) (17)
Thermo-viscous damping of acoustic waves in narrow channels: A comparison of effects in air and water. (2018) (16)
On the factorization of a class of Wiener-Hopf kernels (1995) (16)
Scattering of sound waves by an infinite grating composed of rigid plates (2007) (16)
A new integral equation approach to elastodynamic homogenization (2008) (16)
Antiplane Wave Scattering from a Cylindrical Void in a Pre-Stressed Incompressible Neo-Hookean Material (2012) (15)
Predicting the pressure–volume curve of an elastic microsphere composite (2012) (15)
A proof that multiple waves propagate in ensemble-averaged particulate materials (2019) (15)
Matrix Wiener-Hopf approximation for a partially clamped plate (2008) (14)
Travelling waves on a membrane: reflection and transmission at a corner of arbitrary angle. II (1996) (14)
The effect of surface tension on localized free-surface oscillations about surface-piercing bodies (2008) (14)
SCATTERING OF ELASTIC-WAVES BY A SMALL INCLINED SURFACE-BREAKING CRACK (1992) (14)
Acoustic scattering by two parallel slightly staggered rigid plates (1990) (13)
Scattering of sound by finite elastic surfaces bounding ducts or cavities near resonance (1982) (13)
On the Wiener–Hopf solution of water-wave interaction with a submerged elastic or poroelastic plate (2020) (13)
Multiple Waves Propagate in Random Particulate Materials (2018) (12)
Sound radiation from a semi-infinite lined duct (2020) (12)
Sound radiation from a line forced perforated elastic sandwich panel (1999) (12)
On the propagation and scattering of fluid-structural waves in a three-dimensional duct bounded by thin elastic walls (2002) (11)
The secret life of ice sails (2017) (11)
One-dimensional reflection by a semi-infinite periodic row of scatterers (2015) (11)
Diffraction of flexural waves by cracks in orthotropic thin elastic plates. I Formal solution (2005) (11)
Reflection from a multi-species material and its transmitted effective wavenumber (2017) (10)
Acoustic radiation from two opposed semi-infinite coaxial cylindrical waveguides. I: overlapping edges (1993) (10)
The radiation of sound from a finite ring-forced cylindrical elastic shell I. Wiener–Hopf analysis (1995) (10)
Scattering of fluid loaded elastic plate waves at the vertex of a wedge of arbitrary angle, I (1997) (9)
Sound Radiation and Caustic Formation from a Point Source in a Wall Shear Layer (1994) (9)
Modern Methods in Analytical Acoustics. By D. G. CRIGHTON, A. P. DOWLING. J. E. FFOWCS WILLIAMS, M. HECKL and F. G. LEPPINGTON. Springer, 1992. 738 pp. DM 89. (1996) (9)
Antiplane wave scattering from a cylindrical cavity in pre-stressed nonlinear elastic media (2015) (9)
Transient Thermal Mixed Boundary Value Problems in the Half-Space (2015) (9)
Acoustic scattering from a one-dimensional array; Tail-end asymptotics for efficient evaluation of the quasi-periodic Green’s function (2019) (8)
The spatial flux of Earth’s meteorite falls found via Antarctic data (2020) (8)
Acoustic scattering by a finite nonlinear elastic plate - II. Coupled primary and secondary resonances (1988) (8)
A Surprising Observation in the Quarter-Plane Diffraction Problem (2019) (8)
Travelling waves on a membrane: reflection and transmission at a corner of arbitrary angle. I (1995) (8)
On the asymptotic properties of a canonical diffraction integral (2020) (7)
DIFFRACTION AND SCATTERING IN FLUID MECHANICS AND ELASTICITY (2000) (7)
Acoustic radiation from two opposed semi-infinite coaxial cylindrical waveguides. II: separated ducts (1994) (7)
Diffraction by a semi-infinite membrane in the presence of a vertical barrier (1986) (7)
Scattering of sound by a semi-infinite elastic plate with a soft backing; a matrix Wiener-Hopf problem" (1986) (6)
On the sound field generated by membrane surface waves on a wedge-shaped boundary (1987) (6)
Diffraction of flexural waves by cracks in orthotropic thin elastic plates. Part II. Far field analysis (2007) (5)
The Radiation Of Sound Waves From A Lightly Loaded Finite Elastic Shell, II: Non-Linear Shell Resonances (1994) (5)
Simple shear of a compressible quasilinear viscoelastic material (2015) (5)
Asymmetric Channel Divider in Stokes Flow (2008) (5)
The radiation of sound waves from a lightly loaded finite elastic shell, I: Duct and shell resonances for linear motions (1992) (5)
A Diffusion Analysis Approach to TE Mode Propagation in Randomly Perturbed Optical Waveguides (2007) (5)
A surprising observation on the quarter-plane problem (2019) (5)
The time-harmonic antiplane elastic response of a constrained layer (2015) (5)
SCATTERING OF SOUND BY LARGE FINITE GEOMETRIES (1982) (5)
Modelling cortical bone using the method of asymptotic homogenization (2006) (5)
Deepening subwavelength acoustic resonance via metamaterials with universal broadband elliptical microstructure (2017) (5)
A band factorization technique for transition matrix element asymptotics (2006) (4)
A General Asymptotic Expansion Formula for Integrals Involving High-Order Orthogonal Polynomials (2009) (4)
Scattering of sound by a finite non-linear elastic plate bounding a nearly resonant cavity (1989) (4)
On the development and control of caustics in shear flows over elastic surfaces (1992) (4)
On the development of caustics in shear flows over rigid walls (1989) (4)
On the scattering of baroclinic Rossby waves by a ridge in a continuously stratified ocean (2002) (4)
The scattering of Rossby waves from finite abrupt topography (2005) (4)
A continuous model for mode mixing in graded-index multimode fibres with random imperfections (2008) (4)
Reinvigorating the Wiener-Hopf technique in the pursuit of understanding processes and materials (2020) (4)
Scattering of flexural waves by a semi-infinite crack in an elastic plate carrying an electric current (2012) (3)
Tailored acoustic metamaterials. Part I. Thin- and thick-walled Helmholtz resonator arrays (2022) (3)
High-contrast approximation for penetrable wedge diffraction (2020) (3)
Elastic wave radiation from a high frequency finite-length transducer (2006) (3)
Quasi-resonances in sound-insulating coatings (2012) (2)
A multiple-scales approach to crack-front waves (2006) (2)
On the existence of flexural edgewaves on fluid‐loaded plates (2000) (2)
Pricing financial claims contingent upon an underlying asset monitored at discrete times (2007) (2)
On the asymptotic properties of an interesting diffraction integral. (2020) (2)
Tailored acoustic metamaterials. Part II. Extremely thick-walled Helmholtz resonator arrays (2022) (2)
TE Mode Mixing Dynamics in Curved Multimode Optical Waveguides (2012) (2)
IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity : proceedings of the IUTAM symposium held in Manchester, United Kingdom, 16-20 July 2000 (2002) (2)
Two-dimensional Helmholtz resonator arrays. Part I. Matched asymptotic expansions for thick- and thin-walled resonators (2022) (1)
A new integral equation method for elastic composites (2008) (1)
Two-dimensional Helmholtz resonator arrays. Part II. Matched asymptotic expansions for specially-scaled resonators (2022) (1)
Correction to ‘Antiplane wave scattering from a cylindrical cavity in pre-stressed nonlinear elastic media’ (2018) (1)
Scattering of barotropic Rossby waves by the Antarctic Circumpolar Current (2006) (1)
Proceedings of the GDR 2051 Conference (2007) (1)
THE LOST METEORITES OF ANTARCTICA PROJECT : A NEW UK-LED ANTARCTIC METEORITE RECOVERY PROGRAMME (2018) (1)
The life cycle of Ice Sails (2016) (1)
The effective wavenumber of a pre-stressed nonlinear microvoided composite (2011) (1)
Asymptotics of the meta-atom: plane wave scattering by a single Helmholtz resonator (2022) (1)
A secularity condition for systems of linear partial differential equations (1991) (1)
MULTIPLE WAVES PROPAGATE IN RANDOM PARTICULATE MATERIALS\ast (2019) (0)
Electromagnetic Wave Propagation Through Small Diameter Tube Bundles (2003) (0)
Perturbation of a traveling crack edge by matched asymptotics (2006) (0)
Relection from a multi-species material and its transmitted efective wavenumber (2019) (0)
Sink or Swim: Meteorites and the Ice Sheets (2016) (0)
On trailing edge noise with application in hydroacoustics (2016) (0)
Rossby Wave Scattering By Topography In A Continuously Stratified Ocean (2003) (0)
A Hidden Layer of Meteorites Below the Ice Surface of Antarctica (2015) (0)
Characterisation of complex fluid media by an angle-scanning ultrasound diffractometer (2018) (0)
Ice sails of the Karakoram (2017) (0)
Scattering of sound by finite thin elastic plates and cavities (1982) (0)
A surprising observation (2020) (0)
MATRIX WIENER-HOPF PROBLEMS - REPLY (1988) (0)
Characterizing composites with acoustic backscattering: Combining data driven and analytical methods (2017) (0)
The effective material properties of a composite elastic half-space (2016) (0)
Comparison of finite element and analytical modeling of scattering of an acoustic wave by particles in a fluid (2017) (0)
Fritz Joseph Ursell. 28 April 1923 — 11 May 2012 (2013) (0)
Diffraction of flexural waves by cracks in orthotropic thin plates . Part II : far field analysis (2018) (0)
Douglas Samuel Jones MBE. 10 January 1922 — 26 November 2013 (2015) (0)
Approximate factorization of Wiener–Hopf kernels (2001) (0)
On the approximate factorization of scalar and matrix Wiener–Hopf kernels with applications in structural acoustics (1995) (0)
An Efficient Semi-Analytical Scheme for Determining the Reflection of Lamb Waves in a Semi-Infinite Elastic Waveguide (2022) (0)
modelof Fung's quasi-linear viscoelastic On nonlinear viscoelastic deformations: a (2014) (0)
Reflection and transmission of structural waves at a corner of an arbitrary angle (1995) (0)
Electromagnetic Wave Propagation in Periodic Porous Structures (2007) (0)
Radiation from a Transducer into an Elastic Half-space (2001) (0)
Learning about random media from near-surface backscattering: using machine learning to measure particle size and concentration (2018) (0)
The scattering of Rossby waves by ocean ridges (2002) (0)
Microsoft Word-nwaa225.docx (2020) (0)
On the asymptotic properties of an interesting integral (2020) (0)
Transition from equatorial to whole-shell buckling in embedded spherical shells under axisymmetric far-field loading (2022) (0)
An Application of the Wiener-Hopf Technique to the Pricing of Options in Mathematical Finance (2012) (0)

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