Penny J. Davies

Q: What Schools Are Affiliated With Penny J. Davies

Penny J. Davies is affiliated with the following schools: University of Strathclyde, University of Dundee, University of Aberdeen, Heriot-Watt University

Penny J. Davies's AcademicInfluence.com Rankings

Penny J. Davies

Mathematics

#4195

World Rank

#6009

Historical Rank

Group Theory

#280

World Rank

#329

Historical Rank

Number Theory

#381

World Rank

#476

Historical Rank

Algebra

#467

World Rank

#632

Historical Rank

mathematics Degrees

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Mathematics

Why Is Penny J. Davies Influential?

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According to Wikipedia, Penelope Jane Davies is a Scottish mathematician who in 2009 became the second female president of the Edinburgh Mathematical Society, after Elizabeth McHarg. Her research involves numerical simulation of the partial differential equations describing wave scattering and elastic stability and biomechanical modelling. She is a senior lecturer in mathematics and statistics at the University of Strathclyde.

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Penny J. Davies'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

Measurements and modelling of the compliance of human and porcine organs (2001) (285)
Stability and Convergence of Collocation Schemes for Retarded Potential Integral Equations (2004) (106)
Averaging techniques for time-marching schemes for retarded potential integral equations (1997) (85)
On the stability of time-marching schemes for the general surface electric-field integral equation (1996) (51)
Mathematical modelling for keyhole surgery simulations: a biomechanical model for spleen tissue (2002) (45)
Numerical stability and convergence of approximations of retarded potential integral equations (1994) (42)
Topics in Computational Wave Propagation (2003) (39)
A stability analysis of a time marching scheme for the general surface electric field integral equation (1998) (34)
Discontinuous Galerkin approximations for Volterra integral equations of the first kind (2009) (33)
Accurate and efficient algorithms for frequency domain scattering from a thin wire (2001) (29)
Buckling and barrelling instabilities in finite elasticity (1989) (27)
Heterogeneous Multifrequency Direct Inversion (HMDI) for magnetic resonance elastography with application to a clinical brain exam (2018) (26)
A simple derivation of necessary and sufficient conditions for the strong ellipticity of isotropic hyperelastic materials in plane strain (1991) (26)
Book-Received - are we Alone - Philosophical Implications of the Discovery of Extraterrestrial Life (1995) (25)
Puncture forces of solid organ surfaces (2000) (21)
Stability of time-marching numerical schemes for the electric field integral equation (1994) (17)
Buckling and barrelling instabilities on non-linearly elastic columns (1991) (17)
Convolution-in-Time Approximations of Time Domain Boundary Integral Equations (2013) (16)
Mathematical modelling for keyhole surgery simulations: spleen capsule as an elastic membrabe:keyhole surgery simulations (2008) (16)
Book-Review - the Matter Myth - Dramatic Discoveries that Challenge Our Understanding of Physical Reality (1992) (12)
The time domain integral equation for a straight thin-wire antenna with the reduced kernel is not well-posed (2002) (12)
Time-marching numerical schemes for the electric field integral equation on a straight thin wire (1994) (10)
Convolution spline approximations for time domain boundary integral equations (2013) (10)
Numerical stability of collocation schemes for time domain boundary integral equations (2003) (9)
On the behaviour of time discretisations of the electric field integral equation (2000) (9)
The effect of quadrature on the dynamics of a discretized nonlinear integro-differential equation (2000) (6)
Numerical Approximation of Time Domain Electromagnetic Scattering from a Thin Wire (2002) (6)
The MRE Inverse Problem for the Elastic Shear Modulus (2019) (5)
Global convergence and local superconvergence of first-kind Volterra integral equation approximations (2012) (5)
Convolution spline approximations of Volterra integral equations (2012) (5)
The stability of numerical approximations of the time domain current induced on thin wire and strip antennas (2005) (4)
Numerical approximations of first kind Volterra convolution equations with discontinuous kernels (2017) (4)
Stability problems in nonlinear elasticity (1987) (2)
The Scottish Mathematical Sciences Training Centre (2008) (1)
A stacked frequency approach for inhomogeneous time-dependent MRE: an inverse problem for the elastic shear modulus (2020) (1)
On the numerical stability of schemes for time domain scattering from a thin strip (2003) (1)
Convergence of a collocation scheme for a retarded potential integral equation (2003) (1)
Fourier Stability Analysis of a Numerical Method for Time Domain Electromagnetic Scattering from a Thin Wire (2004) (1)
NUMERICAL APPROXIMATION OF 1 ST KIND VOLTERRA CONVOLUTION INTEGRAL EQUATIONS WITH DISCONTINUOUS KERNELS (2016) (0)
Schubert's Unfinished Symphony (1999) (0)
Books-Received - about Time - Einstein's Unfinished Revolution (1995) (0)
Mathematical modeling and numerics for keyhole surgery simulations (2001) (0)
Mathematical Models in Ecology—a Workshop for Secondary School Students (1990) (0)
The Eeect of Quadrature on the Dynamics of a Discretised Nonlinear Integro-diierential Equation (1998) (0)
Convergence of collocation methods for time domain boundary integral equations (2004) (0)
Fixed points and spurious modes of a nonlinear infinite-step map (1996) (0)

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What Schools Are Affiliated With Penny J. Davies?

Penny J. Davies is affiliated with the following schools:

Penny J. Davies's Academic­Influence.com Rankings

Why Is Penny J. Davies Influential?

Penny J. Davies's Published Works

Published Works

Other Resources About Penny J. Davies

What Schools Are Affiliated With Penny J. Davies?

Penny J. Davies's AcademicInfluence.com Rankings