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Davies, Arthur Russell

Co-Author Distance
Author ID: davies.arthur-russell Recent zbMATH articles by "Davies, Arthur Russell"
Published as: Davies, A. R.; Davies, Arthur Russell
Documents Indexed: 37 Publications since 1958, including 1 Book
Co-Authors: 3 Co-Authors with 9 Joint Publications
119 Co-Co-Authors
all top 5

Co-Authors

6 single-authored
9 Anderssen, Robert Scott
9 Phillips, Timothy
4 de Hoog, Frank Robert
3 Gwynllyw, D. Rhys
2 Webster, Michael F.
1 Bowen, P. J.
1 Buckingham, Richard A.
1 Court, H.
1 Crochet, Marcel J.
1 Gervang, Bo
1 Gilles, D. C.
1 Iqbal, Mohammad
1 Karageorghis, Andreas
1 Lee, Seung Jong
1 Maleknejad, Khosrow
1 Muoneke, N. E.
1 Newbury, C.
1 Pemba, Jean Paul
1 Redshaw, T. C.
1 Roberts, Gareth W.
1 Williams, P. Rhodri
1 Xu, S.
all top 5

Serials

11 Journal of Non-Newtonian Fluid Mechanics
2 Bulletin of the Australian Mathematical Society
2 International Journal for Numerical Methods in Fluids
2 Inverse Problems
2 The ANZIAM Journal
1 Computers and Fluids
1 Journal of the Australian Mathematical Society, Series B
1 Journal of Computational Physics
1 International Journal for Numerical Methods in Engineering
1 Journal of Computational and Applied Mathematics
1 Numerische Mathematik
1 International Journal of Production Research
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematics Letters
1 Journal of Mathematics. The Punjab University
1 Proceedings of the Physical Society
1 Rheology Series
1 Applications and Applied Mathematics
all top 5

Fields

23 Fluid mechanics (76-XX)
14 Numerical analysis (65-XX)
9 Integral equations (45-XX)
3 Mechanics of deformable solids (74-XX)
2 Partial differential equations (35-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Functions of a complex variable (30-XX)
1 Integral transforms, operational calculus (44-XX)
1 Functional analysis (46-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Operations research, mathematical programming (90-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

32 Publications have been cited 38 times in 27 Documents Cited by ▼ Year ▼
Numerical simulation of non-Newtonian flow. Zbl 0583.76002
Crochet, M. J.; Davies, A. R.; Walters, K.
84
1984
Spectral collocation methods for the primary two-point boundary value problem in modelling viscoelastic flows. Zbl 0637.76008
Karageorghis, A.; Phillips, T. N.; Davies, A. R.
52
1988
Improved estimates of statistical regularization parameters in Fourier differentiation and smoothing. Zbl 0615.65009
Davies, A. R.; Anderssen, R. S.
11
1986
A moving spectral element approach to the dynamically loaded journal bearing problem. Zbl 0852.76063
Gwynllyw, D. Rh.; Davies, A. R.; Phillips, T. N.
11
1996
On the Volterra integral equation relating creep and relaxation. Zbl 1147.45002
Anderssen, R. S.; Davies, A. R.; de Hoog, F. R.
10
2008
On corner flows of Oldroyd-B fluids. Zbl 0803.76004
Davies, A. R.; Devlin, J.
8
1993
On semi-infinite spectral elements for Poisson problems with re-entrant boundary singularities. Zbl 0631.65104
Phillips, T. N.; Davies, A. R.
7
1988
On the influence of lubricant properties on the dynamics of two-dimensional journal bearings. Zbl 0963.76025
Li, X. K.; Gwynllyw, D. Rh.; Davies, A. R.; Phillips, T. N.
7
2000
On the simulation of viscoelastic flow past a sphere using spectral methods. Zbl 0761.76008
Gervang, B.; Davies, A. R.; Phillips, T. N.
6
1992
Pseudospectral method for transient viscoelastic flow in an axisymmetric channel. Zbl 0781.76069
Xu, S.; Davies, A. R.; Phillips, T. N.
5
1993
A comparison of statistical regularization and Fourier extrapolation methods for numerical deconvolution. Zbl 0527.65092
Davies, A. R.; Iqbal, M.; Maleknejad, K.; Redshaw, T. C.
5
1983
On viscoelastic effects in swirling flows. Zbl 0714.76012
Bowen, P. J.; Davies, A. R.; Walters, K.
4
1991
Optimization in the regularization of ill-posed problems. Zbl 0605.65087
Davies, A. R.; Anderssen, R. S.
4
1986
Three-dimensional effects in dynamically loaded journal bearings. Zbl 0938.76074
Li, X. K.; Gwynllyw, D. Rh.; Davies, A. R.; Phillips, T. N.
4
1999
A transient thermal analysis for dynamically loaded bearings. Zbl 0977.76067
Li, X. K.; Davies, A. R.; Phillips, T. N.
4
2000
Simple joint inversion localized formulae for relaxation spectrum recovery. Zbl 1376.65162
Anderssen, R. S.; Davies, A. R.; de Hoog, F. R.; Loy, R. J.
4
2016
On the interconversion integral equation for relaxation and creep. Zbl 1334.74023
Anderssen, Robert Scott; Davies, Arthur Russell; de Hoog, Frank Robert
4
2007
Three-dimensional spectral approximations to Stokes flow between eccentrically rotating cylinders. Zbl 0724.76067
Roberts, G. W.; Davies, A. R.; Phillips, T. N.
3
1991
Long range memory effects in flows involving abrupt changes in geometry. III: Moving boundaries. Zbl 0403.76010
Davies, A. R.; Walters, K.; Webster, M. F.
3
1978
Numerical filtering and the high Weissenberg number problem. Zbl 0546.76017
Davies, A. R.
3
1984
Sampling localization and duality algorithms in practice. Zbl 0957.76061
Davies, A. R.; Anderssen, R. S.
3
1998
Stokes-Bitsadze problem. I. Zbl 1226.35067
Tahir, Muhammad; Davies, A. R.
2
2005
Reentrant corner singularities in non-Newtonian flow. I: Theory. Zbl 0666.76014
Davies, A. R.
2
1988
The effect of kernel perturbations when solving the interconversion convolution equation of linear viscoelasticity. Zbl 1387.74030
Anderssen, R. S.; Davies, A. R.; De Hoog, F. R.
1
2011
On a constrained Fourier extrapolation method for numerical deconvolution. Zbl 0528.65076
Davies, A. R.
1
1983
On the maximum likelihood regularization of Fredholm convolution equations of the first kind. Zbl 0574.65142
Davies, A. R.
1
1982
Long-range memory effects in flows involving abrupt changes in geometry. IV: Numerical simulation using integral rheological models. Zbl 0453.76008
Court, H.; Davies, A. R.; Walters, K.
1
1981
Optimality in numerical differentiation. Zbl 0674.65004
Davies, A. R.
1
1988
A duality proof of sampling localisation in relaxation spectrum recovery. Zbl 1172.76304
Loy, R. J.; Newbury, C.; Anderssen, R. S.; Davies, A. R.
1
2001
Relating the relaxation spectrum to wave dispersion data. Zbl 1142.76326
Davies, A. R.; Morgan, D.; Williams, P. R.
1
2004
A kernel approach to deconvolution of the complex modulus in linear viscoelasticity. Zbl 1443.45011
Davies, A. R.; Douglas, R. J.
1
2020
A complexification of Rolles’s theorem. Zbl 1331.30009
Pemba, Jean Paul; Davies, A. R.; Muoneke, N. E.
1
2007
A kernel approach to deconvolution of the complex modulus in linear viscoelasticity. Zbl 1443.45011
Davies, A. R.; Douglas, R. J.
1
2020
Simple joint inversion localized formulae for relaxation spectrum recovery. Zbl 1376.65162
Anderssen, R. S.; Davies, A. R.; de Hoog, F. R.; Loy, R. J.
4
2016
The effect of kernel perturbations when solving the interconversion convolution equation of linear viscoelasticity. Zbl 1387.74030
Anderssen, R. S.; Davies, A. R.; De Hoog, F. R.
1
2011
On the Volterra integral equation relating creep and relaxation. Zbl 1147.45002
Anderssen, R. S.; Davies, A. R.; de Hoog, F. R.
10
2008
On the interconversion integral equation for relaxation and creep. Zbl 1334.74023
Anderssen, Robert Scott; Davies, Arthur Russell; de Hoog, Frank Robert
4
2007
A complexification of Rolles’s theorem. Zbl 1331.30009
Pemba, Jean Paul; Davies, A. R.; Muoneke, N. E.
1
2007
Stokes-Bitsadze problem. I. Zbl 1226.35067
Tahir, Muhammad; Davies, A. R.
2
2005
Relating the relaxation spectrum to wave dispersion data. Zbl 1142.76326
Davies, A. R.; Morgan, D.; Williams, P. R.
1
2004
A duality proof of sampling localisation in relaxation spectrum recovery. Zbl 1172.76304
Loy, R. J.; Newbury, C.; Anderssen, R. S.; Davies, A. R.
1
2001
On the influence of lubricant properties on the dynamics of two-dimensional journal bearings. Zbl 0963.76025
Li, X. K.; Gwynllyw, D. Rh.; Davies, A. R.; Phillips, T. N.
7
2000
A transient thermal analysis for dynamically loaded bearings. Zbl 0977.76067
Li, X. K.; Davies, A. R.; Phillips, T. N.
4
2000
Three-dimensional effects in dynamically loaded journal bearings. Zbl 0938.76074
Li, X. K.; Gwynllyw, D. Rh.; Davies, A. R.; Phillips, T. N.
4
1999
Sampling localization and duality algorithms in practice. Zbl 0957.76061
Davies, A. R.; Anderssen, R. S.
3
1998
A moving spectral element approach to the dynamically loaded journal bearing problem. Zbl 0852.76063
Gwynllyw, D. Rh.; Davies, A. R.; Phillips, T. N.
11
1996
On corner flows of Oldroyd-B fluids. Zbl 0803.76004
Davies, A. R.; Devlin, J.
8
1993
Pseudospectral method for transient viscoelastic flow in an axisymmetric channel. Zbl 0781.76069
Xu, S.; Davies, A. R.; Phillips, T. N.
5
1993
On the simulation of viscoelastic flow past a sphere using spectral methods. Zbl 0761.76008
Gervang, B.; Davies, A. R.; Phillips, T. N.
6
1992
On viscoelastic effects in swirling flows. Zbl 0714.76012
Bowen, P. J.; Davies, A. R.; Walters, K.
4
1991
Three-dimensional spectral approximations to Stokes flow between eccentrically rotating cylinders. Zbl 0724.76067
Roberts, G. W.; Davies, A. R.; Phillips, T. N.
3
1991
Spectral collocation methods for the primary two-point boundary value problem in modelling viscoelastic flows. Zbl 0637.76008
Karageorghis, A.; Phillips, T. N.; Davies, A. R.
52
1988
On semi-infinite spectral elements for Poisson problems with re-entrant boundary singularities. Zbl 0631.65104
Phillips, T. N.; Davies, A. R.
7
1988
Reentrant corner singularities in non-Newtonian flow. I: Theory. Zbl 0666.76014
Davies, A. R.
2
1988
Optimality in numerical differentiation. Zbl 0674.65004
Davies, A. R.
1
1988
Improved estimates of statistical regularization parameters in Fourier differentiation and smoothing. Zbl 0615.65009
Davies, A. R.; Anderssen, R. S.
11
1986
Optimization in the regularization of ill-posed problems. Zbl 0605.65087
Davies, A. R.; Anderssen, R. S.
4
1986
Numerical simulation of non-Newtonian flow. Zbl 0583.76002
Crochet, M. J.; Davies, A. R.; Walters, K.
84
1984
Numerical filtering and the high Weissenberg number problem. Zbl 0546.76017
Davies, A. R.
3
1984
A comparison of statistical regularization and Fourier extrapolation methods for numerical deconvolution. Zbl 0527.65092
Davies, A. R.; Iqbal, M.; Maleknejad, K.; Redshaw, T. C.
5
1983
On a constrained Fourier extrapolation method for numerical deconvolution. Zbl 0528.65076
Davies, A. R.
1
1983
On the maximum likelihood regularization of Fredholm convolution equations of the first kind. Zbl 0574.65142
Davies, A. R.
1
1982
Long-range memory effects in flows involving abrupt changes in geometry. IV: Numerical simulation using integral rheological models. Zbl 0453.76008
Court, H.; Davies, A. R.; Walters, K.
1
1981
Long range memory effects in flows involving abrupt changes in geometry. III: Moving boundaries. Zbl 0403.76010
Davies, A. R.; Walters, K.; Webster, M. F.
3
1978
all cited Publications top 5 cited Publications
all top 5

Cited by 22 Authors

11 Anderssen, Robert Scott
6 de Hoog, Frank Robert
3 Lukas, Mark A.
2 Davies, Arthur Russell
2 Hegland, Markus
2 Werner, Frank
1 Davies, Russell
1 Gutting, Martin
1 Helliwell, Christopher A.
1 Honerkamp, Josef
1 Hristov, Jordan Yankov
1 Kay, Jim W.
1 Li, Housen
1 Li, Huanrong
1 Loy, Richard J.
1 Loy, Rick J.
1 Maleknejad, Khosrow
1 Renardy, Michael
1 Shtrauss, Vairis
1 Wahba, Grace
1 Wang, Yonghua
1 Zhong, Min
all top 5

Cited in 17 Serials

3 Bulletin of the Australian Mathematical Society
2 Inverse Problems
2 Applied Mathematics Letters
2 Journal of Integral Equations and Applications
2 Journal of Non-Newtonian Fluid Mechanics
1 Applicable Analysis
1 Journal of Mathematical Biology
1 Mathematics of Computation
1 Applied Mathematics and Computation
1 Journal of Computational and Applied Mathematics
1 Mathematics and Computers in Simulation
1 Numerische Mathematik
1 Statistics & Probability Letters
1 Communications in Statistics. Theory and Methods
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Continuum Mechanics and Thermodynamics
1 The ANZIAM Journal
all top 5

Cited in 17 Fields

15 Numerical analysis (65-XX)
10 Integral equations (45-XX)
6 Fluid mechanics (76-XX)
5 Statistics (62-XX)
4 Integral transforms, operational calculus (44-XX)
3 Operator theory (47-XX)
2 Partial differential equations (35-XX)
2 Approximations and expansions (41-XX)
2 Mechanics of deformable solids (74-XX)
1 Special functions (33-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Functional analysis (46-XX)
1 Probability theory and stochastic processes (60-XX)
1 Optics, electromagnetic theory (78-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year