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## Abrahams, I. David

Compute Distance To:
 Author ID: abrahams.i-david Published as: Abrahams, I. D.; Abrahams, I. David; David Abrahams, I. External Links: MGP · Wikidata · ORCID
 Documents Indexed: 90 Publications since 1981, including 1 Book
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#### Co-Authors

 17 single-authored 18 Parnell, William J. 10 Lawrie, Jane B. 9 Wickham, Gerry R. 6 Assier, Raphaël C. 5 Perrey-Debain, Emmanuel 4 Owen, G. W. 4 Shearer, Tom 4 Simon, Michael J. 3 Davis, Anthony M. J. 3 Fusai, Gianluca 3 Kriegsmann, Gregory A. 3 Martin, Paul Andrew 3 Norris, Andrew N. 3 Willmott, Andrew J. 2 de Pascalis, Riccardo 2 Engineer, J. C. 2 Gower, Artur L. 2 Green, Ross 2 Harter, Robert 2 Llewellyn Smith, Stefan G. 2 Nethercote, Matthew A. 2 Reiss, Edward L. 2 Thompson, Ian J. 1 Andrew, Victoria 1 Barnwell, Ellis G. 1 Brazier-Smith, P. R. 1 Daly, Donna M. 1 Daros, Carlos H. 1 Erbaş, Bariş 1 Grundy, David 1 Heckl, Maria A. 1 Hughes, C. W. 1 Joyce, Duncan 1 Linton, Christopher M. 1 Love, John D. 1 Lynott, Georgia M. 1 Mansley, H. 1 Naili, Salah 1 Nguyen, Vu-Hieu 1 Peake, Nigel 1 Sgarra, Carlo 1 Smith, Michael J. A. 1 Veitch, Benjamin H. 1 Vitali, Camille 1 Zhang, Bo
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#### Serials

 15 Wave Motion 9 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 9 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 8 Journal of Sound and Vibration 8 SIAM Journal on Applied Mathematics 6 IMA Journal of Applied Mathematics 5 Quarterly Journal of Mechanics and Applied Mathematics 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Journal of Engineering Mathematics 3 Journal of the Mechanics and Physics of Solids 2 Communications in Computational Physics 1 AIAA Journal 1 Computer Physics Communications 1 Geophysical and Astrophysical Fluid Dynamics 1 International Journal of Engineering Science 1 Journal of Fluid Mechanics 1 SIAM Journal on Scientific Computing 1 Finance and Stochastics 1 Mathematics and Mechanics of Solids 1 Mathematical Finance 1 Waves in Random and Complex Media 1 Fluid Mechanics and its Applications
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#### Fields

 50 Mechanics of deformable solids (74-XX) 42 Fluid mechanics (76-XX) 23 Partial differential equations (35-XX) 14 Integral equations (45-XX) 10 Optics, electromagnetic theory (78-XX) 4 Operator theory (47-XX) 4 Numerical analysis (65-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functions of a complex variable (30-XX) 3 Geophysics (86-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

70 Publications have been cited 383 times in 225 Documents Cited by Year
An orthogonality relation for a class of problems with high-order boundary conditions; Applications in sound-structure interaction. Zbl 0934.74023
Lawrie, Jane B.; Abrahams, I. David
1999
An exact analytical solution for discrete barrier options. Zbl 1096.91026
Fusai, Gianluca; Abrahams, I. David; Sgarra, Carlo
2006
Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves. Zbl 1231.74373
Parnell, W. J.; Abrahams, I. D.
2006
A brief historical perspective of the Wiener-Hopf technique. Zbl 1134.35002
Lawrie, Jane B.; Abrahams, I. David
2007
Homogenization for wave propagation in periodic fibre-reinforced media with complex microstructure. I: Theory. Zbl 1171.74409
Parnell, W. J.; Abrahams, I. D.
2008
Scattering of sound by two parallel semi-infinite screens. Zbl 0612.73027
Abrahams, I. D.
1987
The application of Padé approximants to Wiener-Hopf factorization. Zbl 0969.65120
Abrahams, I. David
2000
General Wiener-Hopf factorization of matrix kernels with exponential phase factors. Zbl 0704.45005
Abrahams, I. D.; Wickham, G. R.
1990
On the scattering of sound by two semi-infinite parallel staggered plates. I: Explicit matrix Wiener-Hopf factorization. Zbl 0657.76072
Abrahams, I. D.; Wickham, G. R.
1988
The Wiener-Hopf technique and discretely monitored path-dependent option pricing. Zbl 1211.91233
Green, Ross; Fusai, Gianluca; Abrahams, I. David
2010
The scattering of water waves by two semi-infinite opposed vertical walls. Zbl 0749.76006
Abrahams, I. D.; Wickham, G. R.
1991
On the solution of Wiener-Hopf problems involving noncommutative matrix kernel decompositions. Zbl 0903.45002
Abrahams, I. David
1997
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. Zbl 0692.76075
Abrahams, I. D.; Wickham, G. R.
1990
On the application of the Wiener — Hopf technique to problems in dynamic elasticity. Zbl 1163.74304
Abrahams, I. David
2002
The propagation of elastic waves in a certain class of inhomogeneous anisotropic materials. I: The refraction of a horizontally polarized shear wave source. Zbl 0756.73029
Abrahams, I. D.; Wickham, G. R.
1992
Acoustic scattering by two parallel slightly staggered rigid plates. Zbl 0708.73017
Abrahams, I. D.; Wickham, G. R.
1990
Scattering of sound by three semi-infinite planes. Zbl 1235.76139
Abrahams, I. D.
1987
The effect of surface tension on localized free-surface oscillations about surface-piercing bodies. Zbl 1152.76332
Harter, Robert; Simon, Michael J.; Abrahams, I. David
2008
Matrix Wiener-Hopf approximation for a partially clamped plate. Zbl 1138.74033
Abrahams, I. David; Davis, Anthony M. J.; Llewellyn Smith, Stefan G.
2008
Scattering of sound by an elastic plate with flow. Zbl 0532.73050
Abrahams, I. D.
1983
Multiple point scattering to determine the effective wavenumber and effective material properties of an inhomogeneous slab. Zbl 1267.74068
Parnell, William J.; Abrahams, I. David
2010
On the factorization of a class of Wiener-Hopf kernels. Zbl 0841.35024
Abrahams, I. D.; Lawrie, J. B.
1995
Scattering of sound by a heavily loaded finite elastic plate. Zbl 0477.76069
Abrahams, I. D.
1981
An integral equation method for the homogenization of unidirectional fibre-reinforced media; antiplane elasticity and other potential problems. Zbl 1404.74142
Joyce, Duncan; Parnell, William J.; Assier, Raphaël C.; Abrahams, I. David
2017
Simple shear of a compressible quasilinear viscoelastic material. Zbl 1423.74184
De Pascalis, Riccardo; Abrahams, I. David; Parnell, William J.
2015
Effective properties of a composite half-space: exploring the relationship between homogenization and multiple-scattering theories. Zbl 1273.74415
Parnell, W. J.; Abrahams, I. D.; Brazier-Smith, P. R.
2010
A new integral equation approach to elastodynamic homogenization. Zbl 1136.74034
Parnell, William J.; Abrahams, I. David
2008
The effect of surface tension on trapped modes in water-wave problems. Zbl 1139.76012
Harter, Robert; Abrahams, I. David; Simon, Michael J.
2007
On the commutative factorization of $$n\times n$$ matrix Wiener-Hopf kernels with distinct eigenvalues. Zbl 1139.47016
Veitch, Benjamin H.; Abrahams, I. David
2007
Diffraction of flexural waves by cracks in orthotropic thin elastic plates. I. Formal solution. Zbl 1370.74080
Thompson, Ian; Abrahams, I. David
2005
Deflection of a partially clamped elastic plate. Zbl 1078.74023
Abrahams, I. D.; Davis, A. M. J.
2002
On transient oscillations of plates in moving fluids. Zbl 1074.74540
Abrahams, I. David; Wickham, Gerry R.
2001
Acoustic scattering by a finite nonlinear elastic plate. I. Primary, secondary and combination resonances. Zbl 0626.73018
Abrahams, I. D.
1987
The inflation of viscoelastic balloons and hollow viscera. Zbl 1407.74024
De Pascalis, Riccardo; Parnell, William J.; Abrahams, I. David; Shearer, Tom; Daly, Donna M.; Grundy, David
2018
Antiplane elastic wave propagation in pre-stressed periodic structures; tuning, band gap switching and invariance. Zbl 07209691
Barnwell, Ellis G.; Parnell, William J.; David Abrahams, I.
2016
One-dimensional reflection by a semi-infinite periodic row of scatterers. Zbl 07064112
Martin, P. A.; Abrahams, I. David; Parnell, William J.
2015
Antiplane wave scattering from a cylindrical cavity in pre-stressed nonlinear elastic media. Zbl 1371.74156
Shearer, Tom; Parnell, William J.; Abrahams, I. David
2015
Antiplane wave scattering from a cylindrical void in a pre-stressed incompressible neo-Hookean material. Zbl 1373.74056
Parnell, William J.; Abrahams, I. David
2012
On the propagation and scattering of fluid-structural waves in a three-dimensional duct bounded by thin elastic walls. Zbl 1183.76858
Lawrie, J. B.; Abrahams, I. D.
2002
On the non-commutative factorization of Wiener-Hopf kernels of Khrapkov type. Zbl 0916.65133
Abrahams, I. David
1998
Travelling waves on a membrane: Reflection and transmission at a corner of arbitrary angle. I. Zbl 0884.76076
Abrahams, I. D.; Lawrie, J. B.
1995
Acoustic radiation from two opposed semi-infinite coaxial cylindrical waveguides. I: Overlapping edges. Zbl 0804.76077
Lawrie, J. B.; Abrahams, I. D.; Linton, C. M.
1993
Scattering of sound by large finite geometries. Zbl 0499.76064
Abrahams, I. D.
1982
Diffraction of flexural waves by cracks in orthotropic thin elastic plates. II: Far field analysis. Zbl 1132.74021
Thompson, Ian; Abrahams, I. David
2007
Elastic wave radiation from a high frequency finite-length transducer. Zbl 1243.74033
Owen, G. W.; Abrahams, I. D.
2006
Curve squeal of train wheels. I: Mathematical model for its generation. Zbl 1235.74077
Heckl, Maria A.; Abrahams, I. D.
2000
On the existence of flexural edge waves on submerged elastic plates. Zbl 0981.74014
Abrahams, I. David; Norris, Andrew N.
2000
Travelling waves on a membrane: Reflection and transmission at a corner of arbitrary angle. II. Zbl 0876.73046
Lawrie, J. B.; Abrahams, I. D.
1996
The radiation of sound from a finite ring-forced cylindrical elastic shell. I: Wiener-Hopf analysis. Zbl 0844.76090
Zhang, Bo; Abrahams, I. David
1995
Acoustic radiation from two opposed semi-infinite coaxial cylindrical waveguides. II: Separated ducts. Zbl 0925.76569
Lawrie, J. B.; Abrahams, I. D.
1994
Scattering of elastic waves by an arbitrary small imperfection in the surface of a half-space. Zbl 0763.73013
Abrahams, I. D.; Wickham, G. R.
1992
On the development of caustics in shear flows over rigid walls. Zbl 0682.76067
Abrahams, I. David; Kriegsmann, Gregory A.; Reiss, Edward L.
1989
Acoustic scattering by a finite nonlinear elastic plate. II: Coupled primary and secondary resonances. Zbl 0645.73020
Abrahams, I. D.
1988
Scattering of sound by a semi-infinite elastic plate with a soft backing; a matrix Wiener-Hopf problem. Zbl 0621.73030
Abrahams, I. D.
1986
Scattering of sound by finite elastic surfaces bounding ducts or cavities near resonance. Zbl 0474.73023
Abrahams, I. D.
1982
Analytical methods for perfect wedge diffraction: a review. Zbl 07312401
Nethercote, Matthew A.; Assier, Raphaël C.; Abrahams, I. D.
2020
Reflection from a multi-species material and its transmitted effective wavenumber. Zbl 1402.74049
Gower, Artur L.; Smith, Michael J. A.; Parnell, William J.; Abrahams, I. David
2018
Transient thermal mixed boundary value problems in the half-space. Zbl 1338.30030
Parnell, William J.; Nguyen, Vu-Hieu; Assier, Raphael; Naili, Salah; Abrahams, I. David
2016
Torsional wave propagation in a pre-stressed hyperelastic annular circular cylinder. Zbl 1291.74105
Shearer, Tom; Abrahams, I. David; Parnell, William J.; Daros, Carlos H.
2013
A general asymptotic expansion formula for integrals involving high-order orthogonal polynomials. Zbl 1200.65020
Perrey-Debain, Emmanuel; Abrahams, I. David
2009
Asymmetric channel divider in Stokes flow. Zbl 1148.76015
Abrahams, I. David; Davis, Anthony M. J.; Llewellyn Smith, Stefan G.
2008
Scattering of sound waves by an infinite grating composed of rigid plates. Zbl 1231.76269
Erbaş, Barış; Abrahams, I. David
2007
A diffusion analysis approach to TE mode propagation in randomly perturbed optical waveguides. Zbl 1149.78004
Perrey-Debain, Emmanuel; Abrahams, I. David
2007
Pricing financial claims contingent upon an underlying asset monitored at discrete times. Zbl 1134.91419
Green, Ross; Abrahams, I. David; Fusai, Gianluca
2007
On the scattering of baroclinic Rossby waves by a ridge in a continuously stratified ocean. Zbl 1021.76007
Owen, G. W.; Abrahams, I. D.; Willmott, A. J.; Hughes, C. W.
2002
Scattering of fluid loaded elastic plate waves at the vertex of a wedge of arbitrary angle. I: Analytic solution. Zbl 0906.73026
Lawrie, J. B.; Abrahams, I. D.
1997
The radiation of sound waves from a lightly loaded finite elastic shell. II: Non-linear shell resonances. Zbl 1044.74512
Engineer, J. C.; Abrahams, I. D.
1994
Sound radiation and caustic formation from a point source in a wall shear layer. Zbl 0821.76069
Abrahams, I. David; Kriegsmann, Gregory A.; Reiss, Edward L.
1994
The radiation of sound waves from a lightly loaded finite elastic shell. I: Duct and shell resonances for linear motions. Zbl 0919.73159
Engineer, J. C.; Abrahams, I. D.
1992
Scattering of elastic waves by a small inclined surface-breaking crack. Zbl 0763.73014
Abrahams, I. D.; Wickham, G. R.
1992
Analytical methods for perfect wedge diffraction: a review. Zbl 07312401
Nethercote, Matthew A.; Assier, Raphaël C.; Abrahams, I. D.
2020
The inflation of viscoelastic balloons and hollow viscera. Zbl 1407.74024
De Pascalis, Riccardo; Parnell, William J.; Abrahams, I. David; Shearer, Tom; Daly, Donna M.; Grundy, David
2018
Reflection from a multi-species material and its transmitted effective wavenumber. Zbl 1402.74049
Gower, Artur L.; Smith, Michael J. A.; Parnell, William J.; Abrahams, I. David
2018
An integral equation method for the homogenization of unidirectional fibre-reinforced media; antiplane elasticity and other potential problems. Zbl 1404.74142
Joyce, Duncan; Parnell, William J.; Assier, Raphaël C.; Abrahams, I. David
2017
Antiplane elastic wave propagation in pre-stressed periodic structures; tuning, band gap switching and invariance. Zbl 07209691
Barnwell, Ellis G.; Parnell, William J.; David Abrahams, I.
2016
Transient thermal mixed boundary value problems in the half-space. Zbl 1338.30030
Parnell, William J.; Nguyen, Vu-Hieu; Assier, Raphael; Naili, Salah; Abrahams, I. David
2016
Simple shear of a compressible quasilinear viscoelastic material. Zbl 1423.74184
De Pascalis, Riccardo; Abrahams, I. David; Parnell, William J.
2015
One-dimensional reflection by a semi-infinite periodic row of scatterers. Zbl 07064112
Martin, P. A.; Abrahams, I. David; Parnell, William J.
2015
Antiplane wave scattering from a cylindrical cavity in pre-stressed nonlinear elastic media. Zbl 1371.74156
Shearer, Tom; Parnell, William J.; Abrahams, I. David
2015
Torsional wave propagation in a pre-stressed hyperelastic annular circular cylinder. Zbl 1291.74105
Shearer, Tom; Abrahams, I. David; Parnell, William J.; Daros, Carlos H.
2013
Antiplane wave scattering from a cylindrical void in a pre-stressed incompressible neo-Hookean material. Zbl 1373.74056
Parnell, William J.; Abrahams, I. David
2012
The Wiener-Hopf technique and discretely monitored path-dependent option pricing. Zbl 1211.91233
Green, Ross; Fusai, Gianluca; Abrahams, I. David
2010
Multiple point scattering to determine the effective wavenumber and effective material properties of an inhomogeneous slab. Zbl 1267.74068
Parnell, William J.; Abrahams, I. David
2010
Effective properties of a composite half-space: exploring the relationship between homogenization and multiple-scattering theories. Zbl 1273.74415
Parnell, W. J.; Abrahams, I. D.; Brazier-Smith, P. R.
2010
A general asymptotic expansion formula for integrals involving high-order orthogonal polynomials. Zbl 1200.65020
Perrey-Debain, Emmanuel; Abrahams, I. David
2009
Homogenization for wave propagation in periodic fibre-reinforced media with complex microstructure. I: Theory. Zbl 1171.74409
Parnell, W. J.; Abrahams, I. D.
2008
The effect of surface tension on localized free-surface oscillations about surface-piercing bodies. Zbl 1152.76332
Harter, Robert; Simon, Michael J.; Abrahams, I. David
2008
Matrix Wiener-Hopf approximation for a partially clamped plate. Zbl 1138.74033
Abrahams, I. David; Davis, Anthony M. J.; Llewellyn Smith, Stefan G.
2008
A new integral equation approach to elastodynamic homogenization. Zbl 1136.74034
Parnell, William J.; Abrahams, I. David
2008
Asymmetric channel divider in Stokes flow. Zbl 1148.76015
Abrahams, I. David; Davis, Anthony M. J.; Llewellyn Smith, Stefan G.
2008
A brief historical perspective of the Wiener-Hopf technique. Zbl 1134.35002
Lawrie, Jane B.; Abrahams, I. David
2007
The effect of surface tension on trapped modes in water-wave problems. Zbl 1139.76012
Harter, Robert; Abrahams, I. David; Simon, Michael J.
2007
On the commutative factorization of $$n\times n$$ matrix Wiener-Hopf kernels with distinct eigenvalues. Zbl 1139.47016
Veitch, Benjamin H.; Abrahams, I. David
2007
Diffraction of flexural waves by cracks in orthotropic thin elastic plates. II: Far field analysis. Zbl 1132.74021
Thompson, Ian; Abrahams, I. David
2007
Scattering of sound waves by an infinite grating composed of rigid plates. Zbl 1231.76269
Erbaş, Barış; Abrahams, I. David
2007
A diffusion analysis approach to TE mode propagation in randomly perturbed optical waveguides. Zbl 1149.78004
Perrey-Debain, Emmanuel; Abrahams, I. David
2007
Pricing financial claims contingent upon an underlying asset monitored at discrete times. Zbl 1134.91419
Green, Ross; Abrahams, I. David; Fusai, Gianluca
2007
An exact analytical solution for discrete barrier options. Zbl 1096.91026
Fusai, Gianluca; Abrahams, I. David; Sgarra, Carlo
2006
Dynamic homogenization in periodic fibre reinforced media. Quasi-static limit for SH waves. Zbl 1231.74373
Parnell, W. J.; Abrahams, I. D.
2006
Elastic wave radiation from a high frequency finite-length transducer. Zbl 1243.74033
Owen, G. W.; Abrahams, I. D.
2006
Diffraction of flexural waves by cracks in orthotropic thin elastic plates. I. Formal solution. Zbl 1370.74080
Thompson, Ian; Abrahams, I. David
2005
On the application of the Wiener — Hopf technique to problems in dynamic elasticity. Zbl 1163.74304
Abrahams, I. David
2002
Deflection of a partially clamped elastic plate. Zbl 1078.74023
Abrahams, I. D.; Davis, A. M. J.
2002
On the propagation and scattering of fluid-structural waves in a three-dimensional duct bounded by thin elastic walls. Zbl 1183.76858
Lawrie, J. B.; Abrahams, I. D.
2002
On the scattering of baroclinic Rossby waves by a ridge in a continuously stratified ocean. Zbl 1021.76007
Owen, G. W.; Abrahams, I. D.; Willmott, A. J.; Hughes, C. W.
2002
On transient oscillations of plates in moving fluids. Zbl 1074.74540
Abrahams, I. David; Wickham, Gerry R.
2001
The application of Padé approximants to Wiener-Hopf factorization. Zbl 0969.65120
Abrahams, I. David
2000
Curve squeal of train wheels. I: Mathematical model for its generation. Zbl 1235.74077
Heckl, Maria A.; Abrahams, I. D.
2000
On the existence of flexural edge waves on submerged elastic plates. Zbl 0981.74014
Abrahams, I. David; Norris, Andrew N.
2000
An orthogonality relation for a class of problems with high-order boundary conditions; Applications in sound-structure interaction. Zbl 0934.74023
Lawrie, Jane B.; Abrahams, I. David
1999
On the non-commutative factorization of Wiener-Hopf kernels of Khrapkov type. Zbl 0916.65133
Abrahams, I. David
1998
On the solution of Wiener-Hopf problems involving noncommutative matrix kernel decompositions. Zbl 0903.45002
Abrahams, I. David
1997
Scattering of fluid loaded elastic plate waves at the vertex of a wedge of arbitrary angle. I: Analytic solution. Zbl 0906.73026
Lawrie, J. B.; Abrahams, I. D.
1997
Travelling waves on a membrane: Reflection and transmission at a corner of arbitrary angle. II. Zbl 0876.73046
Lawrie, J. B.; Abrahams, I. D.
1996
On the factorization of a class of Wiener-Hopf kernels. Zbl 0841.35024
Abrahams, I. D.; Lawrie, J. B.
1995
Travelling waves on a membrane: Reflection and transmission at a corner of arbitrary angle. I. Zbl 0884.76076
Abrahams, I. D.; Lawrie, J. B.
1995
The radiation of sound from a finite ring-forced cylindrical elastic shell. I: Wiener-Hopf analysis. Zbl 0844.76090
Zhang, Bo; Abrahams, I. David
1995
Acoustic radiation from two opposed semi-infinite coaxial cylindrical waveguides. II: Separated ducts. Zbl 0925.76569
Lawrie, J. B.; Abrahams, I. D.
1994
The radiation of sound waves from a lightly loaded finite elastic shell. II: Non-linear shell resonances. Zbl 1044.74512
Engineer, J. C.; Abrahams, I. D.
1994
Sound radiation and caustic formation from a point source in a wall shear layer. Zbl 0821.76069
Abrahams, I. David; Kriegsmann, Gregory A.; Reiss, Edward L.
1994
Acoustic radiation from two opposed semi-infinite coaxial cylindrical waveguides. I: Overlapping edges. Zbl 0804.76077
Lawrie, J. B.; Abrahams, I. D.; Linton, C. M.
1993
The propagation of elastic waves in a certain class of inhomogeneous anisotropic materials. I: The refraction of a horizontally polarized shear wave source. Zbl 0756.73029
Abrahams, I. D.; Wickham, G. R.
1992
Scattering of elastic waves by an arbitrary small imperfection in the surface of a half-space. Zbl 0763.73013
Abrahams, I. D.; Wickham, G. R.
1992
The radiation of sound waves from a lightly loaded finite elastic shell. I: Duct and shell resonances for linear motions. Zbl 0919.73159
Engineer, J. C.; Abrahams, I. D.
1992
Scattering of elastic waves by a small inclined surface-breaking crack. Zbl 0763.73014
Abrahams, I. D.; Wickham, G. R.
1992
The scattering of water waves by two semi-infinite opposed vertical walls. Zbl 0749.76006
Abrahams, I. D.; Wickham, G. R.
1991
General Wiener-Hopf factorization of matrix kernels with exponential phase factors. Zbl 0704.45005
Abrahams, I. D.; Wickham, G. R.
1990
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. Zbl 0692.76075
Abrahams, I. D.; Wickham, G. R.
1990
Acoustic scattering by two parallel slightly staggered rigid plates. Zbl 0708.73017
Abrahams, I. D.; Wickham, G. R.
1990
On the development of caustics in shear flows over rigid walls. Zbl 0682.76067
Abrahams, I. David; Kriegsmann, Gregory A.; Reiss, Edward L.
1989
On the scattering of sound by two semi-infinite parallel staggered plates. I: Explicit matrix Wiener-Hopf factorization. Zbl 0657.76072
Abrahams, I. D.; Wickham, G. R.
1988
Acoustic scattering by a finite nonlinear elastic plate. II: Coupled primary and secondary resonances. Zbl 0645.73020
Abrahams, I. D.
1988
Scattering of sound by two parallel semi-infinite screens. Zbl 0612.73027
Abrahams, I. D.
1987
Scattering of sound by three semi-infinite planes. Zbl 1235.76139
Abrahams, I. D.
1987
Acoustic scattering by a finite nonlinear elastic plate. I. Primary, secondary and combination resonances. Zbl 0626.73018
Abrahams, I. D.
1987
Scattering of sound by a semi-infinite elastic plate with a soft backing; a matrix Wiener-Hopf problem. Zbl 0621.73030
Abrahams, I. D.
1986
Scattering of sound by an elastic plate with flow. Zbl 0532.73050
Abrahams, I. D.
1983
Scattering of sound by large finite geometries. Zbl 0499.76064
Abrahams, I. D.
1982
Scattering of sound by finite elastic surfaces bounding ducts or cavities near resonance. Zbl 0474.73023
Abrahams, I. D.
1982
Scattering of sound by a heavily loaded finite elastic plate. Zbl 0477.76069
Abrahams, I. D.
1981
all top 5

#### Cited by 361 Authors

 32 Abrahams, I. David 16 Parnell, William J. 10 Lawrie, Jane B. 9 Sahoo, Trilochan 8 Fusai, Gianluca 7 Ayub, Muhammad 7 Marazzina, Daniele 7 Nawaz, Rab 5 Assier, Raphaël C. 5 Mann, Amer Bilal 5 Norris, Andrew N. 5 Tiwana, Mazhar Hussain 5 Wickham, Gerry R. 4 Bhattacharjee, Joydip 4 Craster, Richard V. 4 Germano, Guido 4 Peake, Nigel 4 Thompson, Ian J. 3 Afzal, Muhammad U. 3 Afzal, Muhammad Zeshan 3 Andrianov, Igor V. 3 Andronov, Ivan V. 3 Artioli, Edoardo 3 Danishevskiĭ, Vladislav Valentinovich 3 Farnoosh, Rahman 3 Gayen, Rupanwita 3 Gupta, Sourav 3 Karmakar, Debabrata 3 Kisil, Anastasia V. 3 Martin, Paul Andrew 3 McIver, Philip 3 Meylan, Michael H. 3 Penta, Raimondo 3 Phelan, Carolyn E. 3 Rodríguez-Ramos, Reinaldo 3 Sobhani, Amirhossein 3 Topol, Heiko 3 Wang, Yuesheng 2 Ayton, Lorna J. 2 Beheshti, Mohammad Hossein 2 Bravo-Castillero, Julián 2 Büyükaksoy, Alinur 2 Curtis, Andrew Thomas 2 de Pascalis, Riccardo 2 Gachagan, Anthony 2 Galetti, E. 2 Gower, Artur L. 2 Green, Ross 2 Guenneau, Sebastien R. L. 2 Guinovart-Díaz, Raúl 2 Harter, Robert 2 Kaplunov, Julius D. 2 Korobkin, Alexander A. 2 Lyalinov, Mikhail Anatolievich 2 Marena, Marina 2 Milev, Mariyan 2 Mishuris, Gennady S. 2 Mohapatra, S. C. 2 Mondal, Rahul 2 Mulholland, Anthony J. 2 Naili, Salah 2 Naz, Mahvish 2 Nguyen, Vu-Hieu 2 Nol’de, E. V. 2 Ramírez-Torres, Ariel 2 Rogosin, Sergei V. 2 Self, R. H. 2 Shafique, Sajid 2 Sharma, Basant Lal 2 Shearer, Tom 2 Simon, Michael J. 2 Smith, John D. 2 Stone, J. T. 2 Sumbatyan, Mezhlum A. 2 Tant, Katherine M. M. 2 Ustinov, Konstantin Borisovich 2 Veitch, Benjamin H. 2 Wang, Yize 2 Weichert, Dieter 1 Ahmad, Bashir 1 Ahmed, Suman 1 Albani, Matteo 1 Allen, David H. 1 Amirkhizi, Alireza V. 1 Amore, Paolo 1 Andrianov, Igor Vasil’evich 1 Angelelli, Enrico 1 Antipov, Yuri A. 1 Antonakakis, T. 1 Asghar, Saleem 1 Ashgar, S. 1 Ashirbayev, Nurgali K. 1 Ayad, Mohammed 1 Banaś, Józef 1 Barman, Sambhu Charan 1 Belinsky, Boris P. 1 Bennetts, Luke G. 1 Bharat, Biswajit 1 Bhattacharjee, Jayanta K. 1 Birbir, Fılız ...and 261 more Authors
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#### Cited in 75 Serials

 52 Wave Motion 17 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 15 Journal of Engineering Mathematics 9 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 8 Journal of Fluid Mechanics 6 Meccanica 6 European Journal of Operational Research 5 Mathematics and Mechanics of Solids 5 European Journal of Mechanics. A. Solids 4 Journal of the Mechanics and Physics of Solids 4 Journal of Computational and Applied Mathematics 4 SIAM Journal on Applied Mathematics 4 Waves in Random and Complex Media 3 International Journal of Engineering Science 3 International Journal of Solids and Structures 3 Journal of Elasticity 3 Quantitative Finance 2 Acta Mechanica 2 Computers & Mathematics with Applications 2 Journal of Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Computation 2 Journal of Differential Equations 2 Engineering Analysis with Boundary Elements 2 Communications in Nonlinear Science and Numerical Simulation 2 The ANZIAM Journal 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Applicable Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Geophysical and Astrophysical Fluid Dynamics 1 Inverse Problems 1 Journal of Computational Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Integral Equations and Operator Theory 1 International Journal for Numerical Methods in Engineering 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Parallel Computing 1 Annals of Operations Research 1 Japan Journal of Industrial and Applied Mathematics 1 Applied Mathematical Modelling 1 Communications in Statistics. Theory and Methods 1 SIAM Review 1 Archive of Applied Mechanics 1 Continuum Mechanics and Thermodynamics 1 International Applied Mechanics 1 Applied Mathematical Finance 1 Finance and Stochastics 1 Computing and Visualization in Science 1 Mathematical Finance 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Theoretical and Applied Finance 1 European Journal of Mechanics. B. Fluids 1 Communications in Contemporary Mathematics 1 Journal of High Energy Physics 1 Decisions in Economics and Finance 1 Advanced Nonlinear Studies 1 Multiscale Modeling & Simulation 1 Asia-Pacific Financial Markets 1 Computational Management Science 1 Boundary Value Problems 1 Inverse Problems in Science and Engineering 1 Acta Mechanica Sinica 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis and Mathematical Physics 1 ISRN Applied Mathematics 1 Mathematical Sciences 1 Nanoscale Systems: Mathematical Modeling, Theory and Applications 1 Cogent Mathematics 1 Constructive Mathematical Analysis
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#### Cited in 32 Fields

 114 Mechanics of deformable solids (74-XX) 76 Fluid mechanics (76-XX) 41 Partial differential equations (35-XX) 30 Numerical analysis (65-XX) 24 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Optics, electromagnetic theory (78-XX) 14 Integral equations (45-XX) 10 Probability theory and stochastic processes (60-XX) 9 Functions of a complex variable (30-XX) 9 Geophysics (86-XX) 7 Operator theory (47-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Ordinary differential equations (34-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of particles and systems (70-XX) 3 Operations research, mathematical programming (90-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX)

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