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Phillips, Timothy N.

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Author ID: phillips.timothy-n Recent zbMATH articles by "Phillips, Timothy N."
Published as: Philips, Timothy N.; Phillips, T. N.; Phillips, Timothy N.
External Links: MGP · ORCID
Documents Indexed: 108 Publications since 1984, including 2 Books

Publications by Year

Citations contained in zbMATH

89 Publications have been cited 658 times in 457 Documents Cited by Year
Computational rheology. Zbl 1015.76002
Owens, R. G.; Phillips, T. N.
82
2002
Spectral Galerkin methods for the primary two-point boundary value problem in modelling viscoelastic flows. Zbl 0635.73091
Davis, A. R.; Karageorghis, A.; Phillips, T. N.
51
1988
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.
47
1988
Lattice Boltzmann model for simulating immiscible two-phase flows. Zbl 1168.76360
Reis, T.; Phillips, T. N.
28
2007
Viscoelastic flow through a planar contraction using a semi-Lagrangian finite volume method. Zbl 0945.76052
Phillips, T. N.; Williams, A. J.
19
1999
Compatible spectral approximations for the velocity-pressure-stress formulation of the Stokes problem. Zbl 0932.76064
Gerritsma, M. I.; Phillips, T. N.
17
1999
On the Legendre coefficients of a general-order derivative of an infinitely differentiable function. Zbl 0667.42011
Phillips, Timothy N.
17
1988
On the coefficients of integrated expansions of ultraspherical polynomials. Zbl 0701.33007
Phillips, Timothy N.; Karageorghis, Andreas
16
1990
The treatment of spurious pressure modes in spectral incompressible flow calculations. Zbl 0766.76059
Phillips, Timothy N.; Roberts, Gareth W.
15
1993
The Langevin and Fokker-Planck equations in polymer rheology. Zbl 1318.76016
Lozinski, Alexei; Owens, Robert G.; Phillips, Timothy N.
13
2011
Discontinuous spectral element approximations for the velocity-pressure-stress formulation of the Stokes problem. Zbl 0924.76081
Gerritsma, M. I.; Phillips, T. N.
12
1998
On the solution of the Fokker-Planck equation using a high-order reduced basis approximation. Zbl 1231.76197
Leonenko, G. M.; Phillips, T. N.
11
2009
A locally-upwinded spectral technique (LUST) for viscoelastic flows. Zbl 1143.76523
Owens, Robert G.; Chauvière, Cédric; Philips, Timothy N.
11
2002
Conservative semi-Lagrangian finite volume schemes. Zbl 0987.76063
Phillips, T. N.; Williams, A. J.
11
2001
Chebyshev spectral collocation methods for laminar flow through a channel contraction. Zbl 0677.76025
Karageorghis, Andreas; Phillips, Timothy N.
10
1989
A moving spectral element approach to the dynamically loaded journal bearing problem. Zbl 0852.76063
Gwynllyw, D. Rh.; Davies, A. R.; Phillips, T. N.
9
1996
Pseudospectral collocation methods for fourth-order differential equations. Zbl 0855.65088
Malek, Alaeddin; Phillips, Timothy N.
9
1995
Conforming Chebyshev spectral collocation methods for the solution of laminar flow in a constricted channel. Zbl 0709.76039
Karageorghis, Andreas; Phillips, Timothy N.
9
1991
Efficient direct methods for solving the spectral collocation equations for Stokes flow in rectangularly decomposable domains. Zbl 0665.76039
Phillips, Timothy N.; Karageorghis, Andreas
9
1989
Spectral collocation methods for Stokes flow in contraction geometries and unbounded domains. Zbl 0659.76037
Karageorghis, A.; Phillips, T. N.
9
1989
A consistent reflected image particle approach to the treatment of boundary conditions in smoothed particle hydrodynamics. Zbl 1230.76046
Bierbrauer, F.; Bollada, P. C.; Phillips, T. N.
8
2009
Modelling pom-pom type models with high-order finite volume schemes. Zbl 1088.76553
Aboubacar, M.; Aguayo, J. P.; Phillips, P. M.; Phillips, T. N.; Tamaddon-Jahromi, H. R.; Snigerev, B. A.; Webster, M. F.
8
2005
Comparison of creeping and inertial flow of an Oldroyd B fluid through planar and axisymmetric contractions. Zbl 1039.76040
Phillips, T. N.; Williams, A. J.
8
2002
Preconditioners for the spectral multigrid method. Zbl 0624.65119
Phillips, Timothy N.; Zang, Thomas A.; Hussaini, M. Yousuff
8
1986
On the mathematical modelling of a compressible viscoelastic fluid. Zbl 1314.76008
Bollada, P. C.; Phillips, T. N.
7
2012
On the characteristics and compatibility equations for the UCM model fluid. Zbl 1140.76308
Gerritsma, M. I.; Phillips, T. N.
7
2008
Contraction/expansion flows: the pressure drop and related issues. Zbl 1195.76083
Binding, D. M.; Phillips, P. M.; Phillips, T. N.
7
2006
Viscoelastic flow in an undulating tube using spectral methods. Zbl 1086.76057
Momeni-Masuleh, S. H.; Phillips, T. N.
7
2004
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 coefficients of differentiated expansions of ultraspherical polynomials. Zbl 0748.65063
Karageorghis, Andreas; Phillips, Timothy N.
7
1992
A spectral domain decomposition method for the planar non-Newtonian stick-slip problem. Zbl 0744.76019
Owens, R. G.; Phillips, T. N.
7
1991
Natural convection in an enclosed cavity. Zbl 0535.76094
Phillips, Timothy N.
7
1984
The influence of viscoelasticity on the collapse of cavitation bubbles near a rigid boundary. Zbl 1291.76324
Lind, S. J.; Phillips, T. N.
6
2012
The numerical prediction of planar viscoelastic contraction flows using the pom–pom model and higher-order finite volume schemes. Zbl 1370.76088
Aguayo, J. P.; Phillips, P. M.; Phillips, T. N.; Tamaddon-Jahromi, H. R.; Snigerev, B. A.; Webster, M. F.
6
2007
Spectral element methods for axisymmetric Stokes problems. Zbl 0984.76065
Gerritsma, M. I.; Phillips, T. N.
6
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
On semi-infinite spectral elements for Poisson problems with re-entrant boundary singularities. Zbl 0631.65104
Phillips, T. N.; Davies, A. R.
6
1988
Spherical bubble collapse in viscoelastic fluids. Zbl 1274.76115
Lind, S. J.; Phillips, T. N.
5
2010
A spectral element approach to the simulation of viscoelastic flows using Brownian configuration fields. Zbl 1195.76308
Phillips, T. N.; Smith, K. D.
5
2006
A semi-Lagrangian finite volume method for Newtonian contraction flows. Zbl 0996.76065
Phillips, T. N.; Williams, A. J.
5
2001
Influence matrix technique for the numerical spectral simulation of viscous incompressible flows. Zbl 0712.76071
Phillips, Timothy N.; Soliman, Ibrahim M.
5
1991
Singular matched eigenfunction expansions for Stokes flow around a corner. Zbl 0674.76020
Phillips, Timothy N.
5
1989
Spectral multigrid methods for Dirichlet problems. Zbl 0632.65115
Phillips, T. N.; Zang, T. A.; Hussaini, M. Y.
5
1985
The effect of viscoelasticity on a rising gas bubble. Zbl 1274.76331
Lind, S. J.; Phillips, T. N.
4
2010
Unphysical phenomena associated with the extended pom-pom model in steady flow. Zbl 1195.76027
Inkson, N. J.; Phillips, T. N.
4
2007
Residual a posteriori error estimator for a three-field model of a nonlinear generalized Stokes problem. Zbl 1120.76039
Ervin, Vincent J.; Phillips, Timothy N.
4
2006
The prediction of complex flows of polymer melts using spectral elements. Zbl 1143.76354
van Os, R. G. M.; Phillips, T. N.
4
2004
Spectral element methods for transient viscoelastic flow problems. Zbl 1062.76040
van Os, R. G. M.; Phillips, T. N.
4
2004
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
Preconditioned iterative methods for unsteady non-Newtonian flow between eccentrically rotating cylinders. Zbl 0885.76076
Gwynllyw, D. Rh.; Phillips, T. N.
4
1996
Pseudospectral method for transient viscoelastic flow in an axisymmetric channel. Zbl 0781.76069
Xu, S.; Davies, A. R.; Phillips, T. N.
4
1993
On efficient direct methods for conforming spectral domain decomposition techniques. Zbl 0708.76047
Karageorghis, Andreas; Phillips, Timothy N.
4
1990
The effect of viscoelasticity on the dynamics of gas bubbles near free surfaces. Zbl 1315.76042
Lind, S. J.; Phillips, T. N.
3
2013
On the effects of a compressible viscous lubricant on the load-bearing capacity of a journal bearing. Zbl 1127.76055
Bollada, P. C.; Phillips, T. N.
3
2007
The choice of spectral element basis functions in domains with an axis of symmetry. Zbl 1110.65109
van Os, R. G. M.; Phillips, T. N.
3
2007
Some issues regarding spectral element meshes for moving journal bearing systems. Zbl 1066.76047
Gwynllyw, D. Rh.; Phillips, T. N.
3
2005
Steady viscoelastic flow past a sphere using spectral elements. Zbl 0868.76071
Owens, Robert G.; Phillips, Timothy N.
3
1996
Multidomain collocation methods for the stream function formulation of the Navier-Stokes equations. Zbl 0832.76074
Phillips, Timothy N.; Malek, Alaeddin
3
1995
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
A conforming spectral collocation strategy for Stokes flow through a channel contraction. Zbl 0721.76058
Phillips, Timothy N.; Karageorghis, Andreas
3
1991
On the potential of spectral methods to solve problems in non-Newtonian fluid mechanics. Zbl 0661.76009
Phillips, Timothy N.
3
1989
Relaxation schemes for spectral multigrid methods. Zbl 0625.65112
Phillips, Timothy N.
3
1987
Least-squares proper generalized decompositions for weakly coercive elliptic problems. Zbl 1371.65116
Croft, Thomas L. D.; Phillips, Timothy N.
2
2017
Mixed finite element methods for groundwater flow in heterogeneous aquifers. Zbl 1391.76755
Traverso, L.; Phillips, T. N.; Yang, Y.
2
2013
Spectral element predictions of die-swell for Oldroyd-B fluids. Zbl 1452.76017
Russo, G.; Phillips, T. N.
2
2011
Numerical simulation of steady planar die swell for a Newtonian fluid using the spectral element method. Zbl 1242.76223
Russo, G.; Phillips, T. N.
2
2010
A modified deformation field method for integral constitutive models. Zbl 1274.76090
Bollada, P. C.; Phillips, T. N.
2
2009
Numerical simulation of flow past a cylinder using models of XPP type. Zbl 1274.76032
Inkson, N. J.; Phillips, T. N.; van Os, R. G. M.
2
2009
The influence of Oldroyd-B and PTT lubricants on moving journal bearing systems. Zbl 1273.76087
Gwynllyw, D. Rh.; Phillips, T. N.
2
2008
On the use of characteristic variables in viscoelastic flow problems. Zbl 0994.76010
Gerritsma, M. I.; Phillips, T. N.
2
2001
A mass conserving multi-domain spectral collocation method for the Stokes problem. Zbl 0904.76063
Phillips, Timothy N.; Owens, Robert G.
2
1997
A spectral element formulation of the immersed boundary method for Newtonian fluids. Zbl 1423.74949
Rowlatt, C. F.; Phillips, T. N.
1
2016
Bubble collapse in compressible fluids using a spectral element marker particle method. II: Viscoelastic fluids. Zbl 1430.76040
Lind, S. J.; Phillips, T. N.
1
2013
High-order approximation of Pearson diffusion processes. Zbl 1241.65014
Leonenko, G. M.; Phillips, T. N.
1
2012
On the enforcement of the zero mean pressure condition in the spectral element approximation of the Stokes problem. Zbl 1176.76090
Gwynllyw, D. Rh.; Phillips, T. N.
1
2006
Efficient and stable spectral element methods for predicting the flow of an XPP fluid past a cylinder. Zbl 1195.76310
van Os, R. G. M.; Phillips, T. N.
1
2005
High-order finite volume methods for viscoelastic flow problems. Zbl 1127.76336
Aboubacar, M.; Phillips, T. N.; Tamaddon-Jahromi, H. R.; Snigerev, B. A.; Webster, M. F.
1
2004
Preconditioned Uzawa algorithm for the velocity-pressure-stress formulation of viscoelastic flow problems. Zbl 1036.76044
Escriva, X.; Leriche, E.; Phillips, T. N.
1
2002
Flow past a cylinder using a semi-Lagrangian spectral element method. Zbl 0992.76060
Phillips, R. M.; Phillips, T. N.
1
2000
Compatible approximation spaces for the velocity-pressure-stress formulation for creeping flows. Zbl 0993.76060
Gerritsma, M. I.; Phillips, T. N.
1
2000
Mass- and momentum-conserving spectral methods for Stokes flow. Zbl 0827.76062
Owens, Robert G.; Phillips, Timothy N.
1
1994
Well-conditioned spectral discretizations of the biharmonic operator. Zbl 0797.65088
Awan, M. A.; Phillips, T. N.
1
1993
Pseudospectral domain decomposition techniques for the Navier-Stokes equations. Zbl 0767.76053
Phillips, Timothy N.
1
1992
Preconditioned iterative methods for elliptic problems on decomposed domains. Zbl 0763.65090
Phillips, Timothy N.
1
1992
Fourier series solution to Poisson’s equation in rectangularly decomposable regions. Zbl 0677.65115
Phillips, Timothy N.
1
1989
The smoothing properties of the alternating direction implicit method in multigrid iterations. Zbl 0659.65096
Phillips, Timothy N.
1
1987
On the numerical treatment of boundary singularities in elliptic problems. Zbl 0618.65089
Phillips, Timothy N.
1
1986
A finite difference scheme for a class of first-order elliptic partial differential equations. Zbl 0632.65109
Phillips, Timothy N.; Rose, Milton E.
1
1985
Least-squares proper generalized decompositions for weakly coercive elliptic problems. Zbl 1371.65116
Croft, Thomas L. D.; Phillips, Timothy N.
2
2017
A spectral element formulation of the immersed boundary method for Newtonian fluids. Zbl 1423.74949
Rowlatt, C. F.; Phillips, T. N.
1
2016
The effect of viscoelasticity on the dynamics of gas bubbles near free surfaces. Zbl 1315.76042
Lind, S. J.; Phillips, T. N.
3
2013
Mixed finite element methods for groundwater flow in heterogeneous aquifers. Zbl 1391.76755
Traverso, L.; Phillips, T. N.; Yang, Y.
2
2013
Bubble collapse in compressible fluids using a spectral element marker particle method. II: Viscoelastic fluids. Zbl 1430.76040
Lind, S. J.; Phillips, T. N.
1
2013
On the mathematical modelling of a compressible viscoelastic fluid. Zbl 1314.76008
Bollada, P. C.; Phillips, T. N.
7
2012
The influence of viscoelasticity on the collapse of cavitation bubbles near a rigid boundary. Zbl 1291.76324
Lind, S. J.; Phillips, T. N.
6
2012
High-order approximation of Pearson diffusion processes. Zbl 1241.65014
Leonenko, G. M.; Phillips, T. N.
1
2012
The Langevin and Fokker-Planck equations in polymer rheology. Zbl 1318.76016
Lozinski, Alexei; Owens, Robert G.; Phillips, Timothy N.
13
2011
Spectral element predictions of die-swell for Oldroyd-B fluids. Zbl 1452.76017
Russo, G.; Phillips, T. N.
2
2011
Spherical bubble collapse in viscoelastic fluids. Zbl 1274.76115
Lind, S. J.; Phillips, T. N.
5
2010
The effect of viscoelasticity on a rising gas bubble. Zbl 1274.76331
Lind, S. J.; Phillips, T. N.
4
2010
Numerical simulation of steady planar die swell for a Newtonian fluid using the spectral element method. Zbl 1242.76223
Russo, G.; Phillips, T. N.
2
2010
On the solution of the Fokker-Planck equation using a high-order reduced basis approximation. Zbl 1231.76197
Leonenko, G. M.; Phillips, T. N.
11
2009
A consistent reflected image particle approach to the treatment of boundary conditions in smoothed particle hydrodynamics. Zbl 1230.76046
Bierbrauer, F.; Bollada, P. C.; Phillips, T. N.
8
2009
A modified deformation field method for integral constitutive models. Zbl 1274.76090
Bollada, P. C.; Phillips, T. N.
2
2009
Numerical simulation of flow past a cylinder using models of XPP type. Zbl 1274.76032
Inkson, N. J.; Phillips, T. N.; van Os, R. G. M.
2
2009
On the characteristics and compatibility equations for the UCM model fluid. Zbl 1140.76308
Gerritsma, M. I.; Phillips, T. N.
7
2008
The influence of Oldroyd-B and PTT lubricants on moving journal bearing systems. Zbl 1273.76087
Gwynllyw, D. Rh.; Phillips, T. N.
2
2008
Lattice Boltzmann model for simulating immiscible two-phase flows. Zbl 1168.76360
Reis, T.; Phillips, T. N.
28
2007
The numerical prediction of planar viscoelastic contraction flows using the pom–pom model and higher-order finite volume schemes. Zbl 1370.76088
Aguayo, J. P.; Phillips, P. M.; Phillips, T. N.; Tamaddon-Jahromi, H. R.; Snigerev, B. A.; Webster, M. F.
6
2007
Unphysical phenomena associated with the extended pom-pom model in steady flow. Zbl 1195.76027
Inkson, N. J.; Phillips, T. N.
4
2007
On the effects of a compressible viscous lubricant on the load-bearing capacity of a journal bearing. Zbl 1127.76055
Bollada, P. C.; Phillips, T. N.
3
2007
The choice of spectral element basis functions in domains with an axis of symmetry. Zbl 1110.65109
van Os, R. G. M.; Phillips, T. N.
3
2007
Contraction/expansion flows: the pressure drop and related issues. Zbl 1195.76083
Binding, D. M.; Phillips, P. M.; Phillips, T. N.
7
2006
A spectral element approach to the simulation of viscoelastic flows using Brownian configuration fields. Zbl 1195.76308
Phillips, T. N.; Smith, K. D.
5
2006
Residual a posteriori error estimator for a three-field model of a nonlinear generalized Stokes problem. Zbl 1120.76039
Ervin, Vincent J.; Phillips, Timothy N.
4
2006
On the enforcement of the zero mean pressure condition in the spectral element approximation of the Stokes problem. Zbl 1176.76090
Gwynllyw, D. Rh.; Phillips, T. N.
1
2006
Modelling pom-pom type models with high-order finite volume schemes. Zbl 1088.76553
Aboubacar, M.; Aguayo, J. P.; Phillips, P. M.; Phillips, T. N.; Tamaddon-Jahromi, H. R.; Snigerev, B. A.; Webster, M. F.
8
2005
Some issues regarding spectral element meshes for moving journal bearing systems. Zbl 1066.76047
Gwynllyw, D. Rh.; Phillips, T. N.
3
2005
Efficient and stable spectral element methods for predicting the flow of an XPP fluid past a cylinder. Zbl 1195.76310
van Os, R. G. M.; Phillips, T. N.
1
2005
Viscoelastic flow in an undulating tube using spectral methods. Zbl 1086.76057
Momeni-Masuleh, S. H.; Phillips, T. N.
7
2004
The prediction of complex flows of polymer melts using spectral elements. Zbl 1143.76354
van Os, R. G. M.; Phillips, T. N.
4
2004
Spectral element methods for transient viscoelastic flow problems. Zbl 1062.76040
van Os, R. G. M.; Phillips, T. N.
4
2004
High-order finite volume methods for viscoelastic flow problems. Zbl 1127.76336
Aboubacar, M.; Phillips, T. N.; Tamaddon-Jahromi, H. R.; Snigerev, B. A.; Webster, M. F.
1
2004
Computational rheology. Zbl 1015.76002
Owens, R. G.; Phillips, T. N.
82
2002
A locally-upwinded spectral technique (LUST) for viscoelastic flows. Zbl 1143.76523
Owens, Robert G.; Chauvière, Cédric; Philips, Timothy N.
11
2002
Comparison of creeping and inertial flow of an Oldroyd B fluid through planar and axisymmetric contractions. Zbl 1039.76040
Phillips, T. N.; Williams, A. J.
8
2002
Preconditioned Uzawa algorithm for the velocity-pressure-stress formulation of viscoelastic flow problems. Zbl 1036.76044
Escriva, X.; Leriche, E.; Phillips, T. N.
1
2002
Conservative semi-Lagrangian finite volume schemes. Zbl 0987.76063
Phillips, T. N.; Williams, A. J.
11
2001
A semi-Lagrangian finite volume method for Newtonian contraction flows. Zbl 0996.76065
Phillips, T. N.; Williams, A. J.
5
2001
On the use of characteristic variables in viscoelastic flow problems. Zbl 0994.76010
Gerritsma, M. I.; Phillips, T. N.
2
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
Spectral element methods for axisymmetric Stokes problems. Zbl 0984.76065
Gerritsma, M. I.; Phillips, T. N.
6
2000
A transient thermal analysis for dynamically loaded bearings. Zbl 0977.76067
Li, X. K.; Davies, A. R.; Phillips, T. N.
4
2000
Flow past a cylinder using a semi-Lagrangian spectral element method. Zbl 0992.76060
Phillips, R. M.; Phillips, T. N.
1
2000
Compatible approximation spaces for the velocity-pressure-stress formulation for creeping flows. Zbl 0993.76060
Gerritsma, M. I.; Phillips, T. N.
1
2000
Viscoelastic flow through a planar contraction using a semi-Lagrangian finite volume method. Zbl 0945.76052
Phillips, T. N.; Williams, A. J.
19
1999
Compatible spectral approximations for the velocity-pressure-stress formulation of the Stokes problem. Zbl 0932.76064
Gerritsma, M. I.; Phillips, T. N.
17
1999
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
Discontinuous spectral element approximations for the velocity-pressure-stress formulation of the Stokes problem. Zbl 0924.76081
Gerritsma, M. I.; Phillips, T. N.
12
1998
A mass conserving multi-domain spectral collocation method for the Stokes problem. Zbl 0904.76063
Phillips, Timothy N.; Owens, Robert G.
2
1997
A moving spectral element approach to the dynamically loaded journal bearing problem. Zbl 0852.76063
Gwynllyw, D. Rh.; Davies, A. R.; Phillips, T. N.
9
1996
Preconditioned iterative methods for unsteady non-Newtonian flow between eccentrically rotating cylinders. Zbl 0885.76076
Gwynllyw, D. Rh.; Phillips, T. N.
4
1996
Steady viscoelastic flow past a sphere using spectral elements. Zbl 0868.76071
Owens, Robert G.; Phillips, Timothy N.
3
1996
Pseudospectral collocation methods for fourth-order differential equations. Zbl 0855.65088
Malek, Alaeddin; Phillips, Timothy N.
9
1995
Multidomain collocation methods for the stream function formulation of the Navier-Stokes equations. Zbl 0832.76074
Phillips, Timothy N.; Malek, Alaeddin
3
1995
Mass- and momentum-conserving spectral methods for Stokes flow. Zbl 0827.76062
Owens, Robert G.; Phillips, Timothy N.
1
1994
The treatment of spurious pressure modes in spectral incompressible flow calculations. Zbl 0766.76059
Phillips, Timothy N.; Roberts, Gareth W.
15
1993
Pseudospectral method for transient viscoelastic flow in an axisymmetric channel. Zbl 0781.76069
Xu, S.; Davies, A. R.; Phillips, T. N.
4
1993
Well-conditioned spectral discretizations of the biharmonic operator. Zbl 0797.65088
Awan, M. A.; Phillips, T. N.
1
1993
On the coefficients of differentiated expansions of ultraspherical polynomials. Zbl 0748.65063
Karageorghis, Andreas; Phillips, Timothy N.
7
1992
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 domain decomposition techniques for the Navier-Stokes equations. Zbl 0767.76053
Phillips, Timothy N.
1
1992
Preconditioned iterative methods for elliptic problems on decomposed domains. Zbl 0763.65090
Phillips, Timothy N.
1
1992
Conforming Chebyshev spectral collocation methods for the solution of laminar flow in a constricted channel. Zbl 0709.76039
Karageorghis, Andreas; Phillips, Timothy N.
9
1991
A spectral domain decomposition method for the planar non-Newtonian stick-slip problem. Zbl 0744.76019
Owens, R. G.; Phillips, T. N.
7
1991
Influence matrix technique for the numerical spectral simulation of viscous incompressible flows. Zbl 0712.76071
Phillips, Timothy N.; Soliman, Ibrahim M.
5
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
A conforming spectral collocation strategy for Stokes flow through a channel contraction. Zbl 0721.76058
Phillips, Timothy N.; Karageorghis, Andreas
3
1991
On the coefficients of integrated expansions of ultraspherical polynomials. Zbl 0701.33007
Phillips, Timothy N.; Karageorghis, Andreas
16
1990
On efficient direct methods for conforming spectral domain decomposition techniques. Zbl 0708.76047
Karageorghis, Andreas; Phillips, Timothy N.
4
1990
Chebyshev spectral collocation methods for laminar flow through a channel contraction. Zbl 0677.76025
Karageorghis, Andreas; Phillips, Timothy N.
10
1989
Efficient direct methods for solving the spectral collocation equations for Stokes flow in rectangularly decomposable domains. Zbl 0665.76039
Phillips, Timothy N.; Karageorghis, Andreas
9
1989
Spectral collocation methods for Stokes flow in contraction geometries and unbounded domains. Zbl 0659.76037
Karageorghis, A.; Phillips, T. N.
9
1989
Singular matched eigenfunction expansions for Stokes flow around a corner. Zbl 0674.76020
Phillips, Timothy N.
5
1989
On the potential of spectral methods to solve problems in non-Newtonian fluid mechanics. Zbl 0661.76009
Phillips, Timothy N.
3
1989
Fourier series solution to Poisson’s equation in rectangularly decomposable regions. Zbl 0677.65115
Phillips, Timothy N.
1
1989
Spectral Galerkin methods for the primary two-point boundary value problem in modelling viscoelastic flows. Zbl 0635.73091
Davis, A. R.; Karageorghis, A.; Phillips, T. N.
51
1988
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.
47
1988
On the Legendre coefficients of a general-order derivative of an infinitely differentiable function. Zbl 0667.42011
Phillips, Timothy N.
17
1988
On semi-infinite spectral elements for Poisson problems with re-entrant boundary singularities. Zbl 0631.65104
Phillips, T. N.; Davies, A. R.
6
1988
Relaxation schemes for spectral multigrid methods. Zbl 0625.65112
Phillips, Timothy N.
3
1987
The smoothing properties of the alternating direction implicit method in multigrid iterations. Zbl 0659.65096
Phillips, Timothy N.
1
1987
Preconditioners for the spectral multigrid method. Zbl 0624.65119
Phillips, Timothy N.; Zang, Thomas A.; Hussaini, M. Yousuff
8
1986
On the numerical treatment of boundary singularities in elliptic problems. Zbl 0618.65089
Phillips, Timothy N.
1
1986
Spectral multigrid methods for Dirichlet problems. Zbl 0632.65115
Phillips, T. N.; Zang, T. A.; Hussaini, M. Y.
5
1985
A finite difference scheme for a class of first-order elliptic partial differential equations. Zbl 0632.65109
Phillips, Timothy N.; Rose, Milton E.
1
1985
Natural convection in an enclosed cavity. Zbl 0535.76094
Phillips, Timothy N.
7
1984
all top 5

Cited by 750 Authors

33 Phillips, Timothy N.
23 Doha, Eid H.
15 Karageorghis, Andreas
9 Ntouyas, Sotiris K.
8 Abd-Elhameed, Waleed Mohamed
8 Bhrawy, Ali Hassan
8 Heinrichs, Wilhelm
8 Tariboon, Jessada
6 Beris, Antony N.
6 Chinesta, Francisco
6 Lee, Hyesuk Kwon
6 Malek, Alaeddin
6 Siddiqi, Shahid Saeed
6 Tomé, Murilo F.
5 Ahmed, Hany M.
5 Akram, Ghazala
5 El-Soubhy, S. I.
5 Ervin, Vincent J.
5 Hulsen, Martien A.
5 Owens, Robert G.
5 Pukhnachov, Vladislav Vasil’evich
4 Ahmad, Bashir
4 Al-saedi, Ahmed Eid Salem
4 Alves, Manuel A.
4 Beik, Fatemeh Panjeh Ali
4 Deville, Michel O.
4 Fiétier, Nicolas
4 Guo, Zhaoli
4 Liu, Haihu
4 McKee, Sean
4 Napoli, Anna
4 Ouyang, Jie
4 Park, Hee Moon
4 Shaĭdurov, Vladimir Victorovich
4 Tanner, Roger I.
4 Vyatkin, Alexander Vladimirovich
4 Webster, Michael F.
4 Zeng, Zhong
4 Zhang, Liangqi
3 Alizard, Frédéric
3 Attili, Basem S.
3 Bollada, Peter C.
3 Bonito, Andrea
3 Chauvière, Cédric
3 Chew, Jia Wei
3 Cuminato, José Alberto
3 Dimitropoulos, Costas D.
3 Georgiou, Georgios C.
3 Gerritsma, Marc I.
3 Gwynllyw, D. Rhys
3 Han, Xianhong
3 Housiadas, Kostas D.
3 Jiang, Fei
3 Karniadakis, George Em
3 Kuchunova, Elena Vladimirovna
3 Lang, Feng-Gong
3 Leclaire, Sébastien
3 Leonenko, G. M.
3 Li, Xikui
3 Li, Xinkai
3 Lind, Steven J.
3 Mohyud-Din, Syed Tauseef
3 Mompean, Gilmar
3 Najafi-Kalyani, Mehdi
3 Nieto Roig, Juan Jose
3 Noor, Muhammad Aslam
3 Oishi, Cassio M.
3 Paprzycki, Marcin
3 Picasso, Marco
3 Reggio, Marcelo
3 Reichel, Lothar
3 Robinet, Jean-Christophe
3 Shi, Baochang
3 Tamaddon-Jahromi, H. R.
3 Trepanier, Jean-Yves
3 van Os, R. G. M.
3 Venturi, Daniele
3 Wang, Qianxi
3 Xu, Xiaoping
3 Yang, Binxin
3 Yang, Shiliang
3 Youssri, Youssri H.
3 Zhang, Yonghao
3 Zheng, Chuguang
2 Afonso, A. M.
2 Aguayo, J. P.
2 Albensoeder, Stefan
2 Albernaz, Daniel L.
2 Alipanah, Amjad
2 Aly, Abdelraheem Mahmoud
2 Ammar, Amine
2 Asai, Mitsuteru
2 Baltussen, Michiel G. H. M.
2 Bég, O. Anwar
2 Blackburn, Hugh M.
2 Castelo, Antonio
2 Castillo, Ernesto
2 Clément, Philippe J. E.
2 Clercx, Herman J. H.
2 Codina, Ramon
...and 650 more Authors
all top 5

Cited in 115 Serials

43 Journal of Computational Physics
42 Computers and Fluids
30 Journal of Computational and Applied Mathematics
29 Computer Methods in Applied Mechanics and Engineering
24 Applied Mathematics and Computation
23 Journal of Non-Newtonian Fluid Mechanics
15 Applied Mathematical Modelling
15 Physics of Fluids
10 Journal of Fluid Mechanics
9 International Journal of Computer Mathematics
8 Computers & Mathematics with Applications
7 Applied Numerical Mathematics
7 Journal of Scientific Computing
6 International Journal of Heat and Mass Transfer
6 Journal of Applied Mathematics
5 Mathematics and Computers in Simulation
5 Numerical Algorithms
5 Integral Transforms and Special Functions
5 Engineering Analysis with Boundary Elements
5 Advances in Difference Equations
4 International Journal for Numerical Methods in Fluids
4 Journal of Engineering Mathematics
4 Journal of Mathematical Analysis and Applications
4 Theoretical and Computational Fluid Dynamics
4 Numerical Methods for Partial Differential Equations
4 Applied Mathematics Letters
4 Boundary Value Problems
3 International Journal of Engineering Science
3 Numerische Mathematik
3 Mathematical and Computer Modelling
3 SIAM Journal on Scientific Computing
3 Abstract and Applied Analysis
3 Archives of Computational Methods in Engineering
3 Acta Mechanica Sinica
2 Applicable Analysis
2 Journal of the Franklin Institute
2 Physica A
2 Mathematics of Computation
2 International Journal for Numerical Methods in Engineering
2 Journal of Differential Equations
2 SIAM Journal on Numerical Analysis
2 Computational Mechanics
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Numerical Linear Algebra with Applications
2 Computational and Applied Mathematics
2 Journal of the Egyptian Mathematical Society
2 Journal of Mathematical Chemistry
2 Mathematical Problems in Engineering
2 Journal of Applied Mechanics and Technical Physics
2 European Journal of Mechanics. B. Fluids
2 Nonlinear Analysis. Real World Applications
2 Foundations of Computational Mathematics
2 Journal of Applied Mathematics and Computing
2 Mediterranean Journal of Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Advances in Mathematical Physics
2 Mathematical Sciences
1 Archive for Rational Mechanics and Analysis
1 Communications on Pure and Applied Mathematics
1 Fluid Dynamics
1 Journal of the Mechanics and Physics of Solids
1 Lithuanian Mathematical Journal
1 Wave Motion
1 Physics of Fluids, A
1 Chaos, Solitons and Fractals
1 Advances in Mathematics
1 Calcolo
1 Computing
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Functional Analysis
1 Meccanica
1 Mechanics Research Communications
1 Quaestiones Mathematicae
1 Chinese Annals of Mathematics. Series B
1 Bulletin of the Iranian Mathematical Society
1 Physica D
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Continuum Mechanics and Thermodynamics
1 Calculus of Variations and Partial Differential Equations
1 Communications in Numerical Methods in Engineering
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 NoDEA. Nonlinear Differential Equations and Applications
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 International Journal of Computational Fluid Dynamics
1 Vychislitel’nye Tekhnologii
1 Journal of Shanghai University
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Discrete Dynamics in Nature and Society
1 Journal of Mathematical Fluid Mechanics
1 European Journal of Mechanics. A. Solids
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Communications in Nonlinear Science and Numerical Simulation
1 Computational Geosciences
1 Engineering Computations
1 The ANZIAM Journal
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 SIAM Journal on Applied Dynamical Systems
1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 International Journal of Computational Methods
...and 15 more Serials

Citations by Year