- Home
- Best Scientists - Mathematics
- Paul A. Martin

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
34
Citations
5,661
180
World Ranking
2021
National Ranking
866

- Quantum mechanics
- Mathematical analysis
- Geometry

His main research concerns Mathematical analysis, Integral equation, Scattering, Electric-field integral equation and Boundary element method. His work in the fields of Mathematical analysis, such as Mellin transform, intersects with other areas such as Non-linear least squares. His study in Integral equation is interdisciplinary in nature, drawing from both Incidence, Vector field, Boundary value problem and Classical mechanics.

His research integrates issues of Grating, Geometry, Method of matched asymptotic expansions, Kondratiev wave and Wind wave in his study of Scattering. His work carried out in the field of Electric-field integral equation brings together such families of science as Simple, Mechanics and Summation equation. The concepts of his Boundary element method study are interwoven with issues in Discretization, Smoothness, Variable and Limit.

- Multiple Scattering: Interaction of Time-Harmonic Waves with N Obstacles (300 citations)
- The method of fundamental solutions for scattering and radiation problems (245 citations)
- Reflection and transmission from porous structures under oblique wave attack (199 citations)

Paul A. Martin focuses on Mathematical analysis, Scattering, Integral equation, Geometry and Classical mechanics. Paul A. Martin has included themes like Boundary element method, Displacement and Wavenumber in his Mathematical analysis study. His Scattering research incorporates elements of Electromagnetic radiation, Diffraction, Acoustic wave and Multipole expansion.

His Integral equation study frequently links to adjacent areas such as Simple. His Wind wave research extends to Geometry, which is thematically connected. In his study, Reflection is inextricably linked to Mechanics, which falls within the broad field of Optics.

- Mathematical analysis (59.69%)
- Scattering (31.63%)
- Integral equation (22.45%)

- Mathematical analysis (59.69%)
- Scattering (31.63%)
- Classical mechanics (13.78%)

Paul A. Martin mostly deals with Mathematical analysis, Scattering, Classical mechanics, Geometry and Work. Mathematical analysis is closely attributed to Acoustic wave in his work. He has researched Scattering in several fields, including Cylindrical waveguide, Tube, Reflection and Multipole expansion.

The Classical mechanics study combines topics in areas such as T matrix, Acoustic wave scattering, Spherical coordinate system and Laplace transform. His Geometry study combines topics from a wide range of disciplines, such as Ring, Gravitational singularity and Hyperbolic partial differential equation. His Work research includes elements of Concentric, Displacement, Algebraic equation, Bubble and Division.

- The incompressible limit in linear anisotropic elasticity, with application to surface waves and elastostatics (20 citations)
- Peter Waterman and T-matrix methods (19 citations)
- On acoustic and electric Faraday cages (16 citations)

- Quantum mechanics
- Mathematical analysis
- Geometry

Mathematical analysis, Classical mechanics, Scattering, Helmholtz equation and Acoustic wave scattering are his primary areas of study. His Mathematical analysis and Wave equation, Exact solutions in general relativity, Separation of variables, Limit and Jacobi polynomials investigations all form part of his Mathematical analysis research activities. His Classical mechanics study incorporates themes from T matrix, Laplace transform, Radiative transfer and Algebra.

His research in Scattering intersects with topics in Conformal map, Field, Cylinder, Wave function and Rayleigh scattering. His Helmholtz equation research is multidisciplinary, relying on both Robin boundary condition, Free boundary problem, Mixed boundary condition and Perturbation theory. The study incorporates disciplines such as Computational physics, Cluster, Cross section, Scattering cross-section and Series in addition to Acoustic wave scattering.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Multiple Scattering: Interaction of Time-Harmonic Waves with N Obstacles

Paul A. Martin.

**(2006)**

701 Citations

The method of fundamental solutions for scattering and radiation problems

Graeme Fairweather;Andreas Karageorghis;P.A. Martin.

Engineering Analysis With Boundary Elements **(2003)**

334 Citations

Reflection and transmission from porous structures under oblique wave attack

Robert A. Dalrymple;Miguel A. Losada;P. A. Martin.

Journal of Fluid Mechanics **(1991)**

332 Citations

On single integral equations for the transmission problem of acoustics

R. E. Kleinman;P. A. Martin.

Siam Journal on Applied Mathematics **(1988)**

224 Citations

On Boundary Integral Equations for Crack Problems

P. A. Martin;F. J. Rizzo.

Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences **(1989)**

220 Citations

HYPERSINGULAR INTEGRALS: HOW SMOOTH MUST THE DENSITY BE?

P. A. Martin;F. J. Rizzo.

International Journal for Numerical Methods in Engineering **(1996)**

188 Citations

Multiple scattering by random configurations of circular cylinders: Second-order corrections for the effective wavenumber

Christopher Linton;P.A. Martin.

Journal of the Acoustical Society of America **(2005)**

146 Citations

Fluid-solid interaction: acoustic scattering by a smooth elastic obstacle

C. J. Luke;P. A. Martin.

Siam Journal on Applied Mathematics **(1995)**

135 Citations

Scattering of water waves by submerged plates using hypersingular integral equations

N.F. Parsons;P.A. Martin.

Applied Ocean Research **(1992)**

133 Citations

WAVE DIFFRACTION THROUGH OFFSHORE BREAKWATERS

Robert A. Dalrymple;Paul A. Martin.

Journal of Waterway Port Coastal and Ocean Engineering-asce **(1990)**

128 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

University of Manchester

Brigham and Women's Hospital

University of Manchester

University of Manchester

Johns Hopkins University

University of Leeds

University of Leeds

University of Aberdeen

Bristol Myers Squibb

University College London

University of Cape Town

University of Waterloo

Chuo University

LogicVision

University of Alcalá

National Central University

Mammal Research Institute

University of Pittsburgh

Scripps Research Institute

Université Paris Cité

University of Münster

University of Miami

University of Melbourne

Sun Yat-sen University

South Dakota State University

University of Minnesota

Something went wrong. Please try again later.