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Author ID: graham.ivan-g Recent zbMATH articles by "Graham, Ivan G."
Published as: Graham, I. G.; Graham, Ivan G.; Graham, Ivan; Graham, I.
Homepage: http://people.bath.ac.uk/masigg/
External Links: MGP · ORCID · ResearchGate · dblp
all top 5

Co-Authors

7 single-authored
19 Scheichl, Robert
18 Spence, Euan A.
10 Sloan, Ian Hugh
7 Dolean, Victorita
7 Sauter, Stefan
6 Chandler-Wilde, Simon N.
6 Hackbusch, Wolfgang
6 Spence, Alastair
5 Chandler, Graeme A.
5 Gong, Shihua
5 Kuo, Frances Y.
5 Vainikko, Eero
4 Atkinson, Kendall Eugene
4 Elschner, Johannes
4 Ganesh, Mahadevan
4 Langdon, Stephen
4 Smyshlyaev, Valery P.
3 Bonazzoli, Marcella
3 Gander, Martin Jakob
3 Nuyens, Dirk
3 Tournier, Pierre-Henri
2 Bootland, Niall
2 Coomer, R. K.
2 Fry, Mark
2 Giani, Stefano
2 Gilbert, Alexander D.
2 Hou, Thomas Yizhao
2 Lafontaine, David
2 Langer, Matthias
2 Lindner, Marko
2 Ma, Chupeng
2 Melenk, Jens Markus
2 Parkinson, Matthew J.
2 Pembery, O. R.
2 Scheben, Fynn
2 Sivaloganathan, Jeyabal
1 Aksoylu, Burak
1 Andrews, David F.
1 Bachmayr, Markus
1 Barnett, Vic
1 Berns-Müller, Jörg
1 Betcke, Timo
1 Betteridge, Jack D.
1 Blake, Jack C. H.
1 Bonner, B. D.
1 Chaplain, Mark A. J.
1 Cliffe, K. Andrew
1 Dahmen, Wolfgang A.
1 Digby, P. G. N.
1 Diggle, Peter John
1 Downing, Shaunagh
1 Everitt, Brian S.
1 Faermann, Birgit
1 Fienberg, Stephen Elliot
1 Gabriel, K. Ruben
1 Galkowski, Jeffrey
1 Gazzola, Silvia
1 Gibson, Thomas H.
1 Goldstein, Harvey
1 Gower, John C.
1 Grasedyck, Lars
1 Green, Peter J.
1 Greenacre, Michael J.
1 Hagger, M. J.
1 Joe, Stephen
1 Kendall, David George
1 Klie, Hector M.
1 Lakkis, Omar
1 Langer, Ulrich
1 Lechner, P. O.
1 Lin, Qun
1 Löhndorf, Maike
1 Ma, Dingjiong
1 McLean, William
1 Mendes, Wendy R.
1 Meyer, Michael M.
1 Müller, Eike Hermann
1 Nguyen, Van Kien
1 Nichols, James A.
1 Schneider, Claus B.
1 Schwab, Christoph
1 Sibson, Robin
1 Silverman, Bernard W.
1 Sini, Mourad
1 Smith, Adrian F. M.
1 Spiegelhalter, David J.
1 Stals, Linda
1 Trevelyan, Jon
1 Tukey, John Wilder
1 Tukey, Paul A.
1 Ullmann, Elisabeth
1 van Lent, Jan
1 Wasserman, Stanley S.
1 Wu, Zhizhang
1 Xie, Ruifeng
1 Zhang, Zhiwen

Publications by Year

Citations contained in zbMATH Open

93 Publications have been cited 2,109 times in 1,423 Documents Cited by Year
Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering. Zbl 1257.65070
Chandler-Wilde, Simon N.; Graham, Ivan G.; Langdon, Stephen; Spence, Euan A.
129
2012
A new multiscale finite element method for high-contrast elliptic interface problems. Zbl 1202.65154
Chu, C.-C.; Graham, I. G.; Hou, T.-Y.
116
2010
Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth. Zbl 0988.92003
Chaplain, M. A. J.; Ganesh, M.; Graham, I. G.
93
2001
Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications. Zbl 1218.65009
Graham, I. G.; Kuo, F. Y.; Nuyens, D.; Scheichl, R.; Sloan, I. H.
88
2011
Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients. Zbl 1341.65003
Graham, I. G.; Kuo, F. Y.; Nichols, J. A.; Scheichl, R.; Schwab, Ch.; Sloan, I. H.
79
2015
Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: What is the largest shift for which wavenumber-independent convergence is guaranteed? Zbl 1328.65238
Gander, M. J.; Graham, I. G.; Spence, E. A.
79
2015
Piecewise continuous collocation for integral equations. Zbl 0514.65094
Atkinson, K.; Graham, I.; Sloan, I.
71
1983
Domain decomposition for multiscale PDEs. Zbl 1141.65084
Graham, I. G.; Lechner, P. O.; Scheichl, R.
65
2007
A high-order algorithm for obstacle scattering in three dimensions. Zbl 1052.65108
Ganesh, M.; Graham, I. G.
63
2004
Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals. Zbl 1231.65060
Domínguez, V.; Graham, I. G.; Smyshlyaev, V. P.
63
2011
A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering. Zbl 1169.76056
Domínguez, V.; Graham, I. G.; Smyshlyaev, V. P.
55
2007
A convergent adaptive method for elliptic eigenvalue problems. Zbl 1191.65147
Giani, S.; Graham, I. G.
48
2009
Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation. Zbl 1272.76217
Betcke, T.; Chandler-Wilde, S. N.; Graham, I. G.; Langdon, S.; Lindner, M.
48
2011
Filon-Clenshaw-Curtis rules for highly oscillatory integrals with algebraic singularities and stationary points. Zbl 1345.65012
Domínguez, V.; Graham, I. G.; Kim, T.
47
2013
Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in \(\mathbb R^3\). Zbl 1018.65139
Graham, I. G.; Sloan, I. H.
42
2002
Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method. Zbl 1050.65110
Dahmen, W.; Faermann, B.; Graham, I. G.; Hackbusch, W.; Sauter, S. A.
41
2004
Finite elements on degenerate meshes: inverse-type inequalities and applications. Zbl 1076.65098
Graham, I. G.; Hackbusch, W.; Sauter, S. A.
40
2005
Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption. Zbl 1368.65250
Graham, I. G.; Spence, E. A.; Vainikko, E.
40
2017
Galerkin methods for second kind integral equations with singularities. Zbl 0496.65068
Graham, Ivan G.
35
1982
Condition number estimates for combined potential boundary integral operators in acoustic scattering. Zbl 1167.35030
Chandler-Wilde, Simon N.; Graham, Ivan G.; Langdon, Stephen; Lindner, Marko
34
2009
The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances. Zbl 1421.35056
Graham, I. G.; Pembery, O. R.; Spence, E. A.
33
2019
Stability and finite element error analysis for the Helmholtz equation with variable coefficients. Zbl 1427.35016
Graham, I. G.; Sauter, S. A.
32
2020
Product integration-collocation methods for noncompact integral operator equations. Zbl 0639.65074
Chandler, G. A.; Graham, I. G.
30
1988
Unstructured additive Schwarz-conjugate gradient method for elliptic problems with highly discontinuous coefficients. Zbl 0943.65147
Graham, I. G.; Hagger, M. J.
30
1999
A new frequency-uniform coercive boundary integral equation for acoustic scattering. Zbl 1228.35183
Spence, Euan A.; Chandler-Wilde, Simon N.; Graham, Ivan G.; Smyshlyaev, Valery P.
29
2011
Iterated Galerkin versus iterated collocation for integral equations of the second kind. Zbl 0586.65091
Graham, Ivan G.; Joe, Stephen; Sloan, Ian H.
29
1985
Analysis of circulant embedding methods for sampling stationary random fields. Zbl 1434.60114
Graham, I. G.; Kuo, F. Y.; Nuyens, Dirk; Scheichl, R.; Sloan, I. H.
29
2018
Singularity expansions for the solutions of second kind Fredholm integral equations with weakly singular convolution kernels. Zbl 0482.45003
Graham, Ivan G.
27
1982
High-order methods for linear functionals of solutions of second kind integral equations. Zbl 0661.65137
Graham, I. G.; Chandler, G. A.
24
1988
Inexact inverse iteration for symmetric matrices. Zbl 1101.65037
Berns-Müller, Jörg; Graham, Ivan G.; Spence, Alastair
24
2006
Collocation methods for two dimensional weakly singular integral equations. Zbl 0469.65092
Graham, Ivan G.
23
1981
When is the error in the \(h\)-BEM for solving the Helmholtz equation bounded independently of \(k\)? Zbl 1320.65187
Graham, I. G.; Löhndorf, M.; Melenk, J. M.; Spence, E. A.
22
2015
An optimal order collocation method for first kind boundary integral equations on polygons. Zbl 0827.65117
Elschner, J.; Graham, I. G.
21
1995
Domain decomposition with local impedance conditions for the Helmholtz equation with absorption. Zbl 1465.65162
Graham, Ivan G.; Spence, Euan A.; Zou, Jun
21
2020
Robust domain decomposition algorithms for multiscale PDEs. Zbl 1141.65085
Graham, I. G.; Scheichl, R.
21
2007
Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients. Zbl 1417.65203
Graham, Ivan G.; Kuo, Frances Y.; Nuyens, Dirk; Scheichl, Rob; Sloan, Ian H.
21
2018
Adaptive finite element methods for computing band gaps in photonic crystals. Zbl 1241.82077
Giani, S.; Graham, I. G.
20
2012
Parallel computation of flow in heterogeneous media modelled by mixed finite elements. Zbl 0995.76044
Cliffe, K. A.; Graham, I. G.; Scheichl, R.; Stals, L.
20
2000
Energy-minimizing coarse spaces for two-level Schwarz methods for multiscale PDEs. Zbl 1224.65292
Van lent, Jan; Scheichl, Robert; Graham, Ivan G.
20
2009
A pseudospectral three-dimensional boundary integral method applied to a nonlinear model problem from finite elasticity. Zbl 0815.41008
Ganesh, M.; Graham, I. G.; Sivaloganathan, J.
19
1994
A new spectral boundary integral collocation method for three-dimensional potential problems. Zbl 0915.65115
Ganesh, M.; Graham, I. G.; Sivaloganathan, J.
18
1998
Iterative solution of linear systems arising from the boundary integral method. Zbl 0809.65110
Atkinson, Kendall E.; Graham, Ivan G.
17
1992
Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption. Zbl 1420.35398
Bonazzoli, M.; Dolean, V.; Graham, I. G.; Spence, E. A.; Tournier, P.-H.
17
2019
Mixed finite element analysis of lognormal diffusion and multilevel Monte Carlo methods. Zbl 1371.65008
Graham, I. G.; Scheichl, R.; Ullmann, E.
16
2016
Nyström-product integration for Wiener-Hopf equations with applications to radiative transfer. Zbl 0675.65146
Graham, Ivan G.; Mendes, Wendy R.
15
1989
The convergence of Nyström methods for Wiener-Hopf equations. Zbl 0621.65138
Chandler, G. A.; Graham, I. G.
15
1988
Domain decomposition preconditioners for high-order discretizations of the heterogeneous Helmholtz equation. Zbl 1501.65151
Gong, Shihua; Graham, Ivan G.; Spence, Euan A.
14
2021
Anisotropic mesh refinement: The conditioning of Galerkin boundary element matrices and simple preconditioners. Zbl 1125.65111
Graham, Ivan G.; McLean, William
14
2006
Recent results on domain decomposition preconditioning for the high-frequency Helmholtz equation using absorption. Zbl 1366.65113
Graham, Ivan G.; Spence, Euan A.; Vainikko, Eero
14
2017
Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients. Zbl 1416.65018
Gilbert, A. D.; Graham, I. G.; Kuo, F. Y.; Scheichl, R.; Sloan, I. H.
14
2019
The computation of water waves modelled by Nekrasov’s equation. Zbl 0780.76059
Chandler, G. A.; Graham, I. G.
13
1993
Numerical methods for integral equations of Mellin type. Zbl 0973.65129
Elschner, J.; Graham, I. G.
11
2000
The computation of conical diffraction coefficients in high-frequency acoustic wave scattering. Zbl 1104.65115
Bonner, B. D.; Graham, I. G.; Smyshlyaev, V. P.
10
2005
Boundary integral methods in high frequency scattering. Zbl 1180.78023
Chandler-Wilde, Simon N.; Graham, Ivan G.
10
2009
Two-level preconditioners for the Helmholtz equation. Zbl 1443.65416
Bonazzoli, Marcella; Dolean, Victorita; Graham, Ivan G.; Spence, Euan A.; Tournier, Pierre-Henri
9
2018
Quadrature methods for Symm’s integral equation on polygons. Zbl 0888.65123
Elschner, Johannes; Graham, Ivan G.
8
1997
Towards a rigorously justified algebraic preconditioner for high-contrast diffusion problems. Zbl 1522.65039
Aksoylu, Burak; Graham, Ivan G.; Klie, Hector; Scheichl, Robert
8
2008
Piecewise-constant collocation for first-kind boundary integral equations. Zbl 0738.65097
Graham, I. G.; Yan, Y.
7
1991
Massively parallel methods for semiconductor device modelling. Zbl 0861.65111
Coomer, R. K.; Graham, I. G.
7
1996
Hybrid Galerkin boundary elements: Theory and implementation. Zbl 0966.65091
Graham, I. G.; Hackbusch, W.; Sauter, S. A.
7
2000
Numerical analysis of multiscale problems. Selected papers based on the presentations at the 91st London Mathematical Society symposium, Durham, UK, July 5–15, 2010. Zbl 1234.65007
7
2012
Iterative methods for neutron transport eigenvalue problems. Zbl 1257.82120
Scheben, Fynn; Graham, Ivan G.
7
2011
On the compactness of certain integral operators. Zbl 0406.45021
Graham, Ivan G.; Sloan, Ian H.
7
1979
Interpreting multivariate data. Proceedings of the Conference on Looking at Multivariate Data held in the University of Sheffield, Sheffield, March 24-27, 1980. Zbl 0597.62002
6
1981
Extrapolation of Nyström solutions of boundary integral equations on non-smooth domains. Zbl 0762.65062
Graham, I. G.; Lin, Qun; Xie, Ruifeng
5
1992
Discrete boundary element methods on general meshes in 3D. Zbl 0966.65090
Graham, I. G.; Hackbusch, W.; Sauter, S. A.
5
2000
Uniform convergence of Galerkin solutions to non-compact integral operator equations. Zbl 0628.65137
Chandler, G. A.; Graham, I. G.
5
1987
On the Sloan iteration applied to integral equations of the first kind. Zbl 0781.65105
Graham, Ivan G.; Atkinson, Kendall E.
4
1993
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. Zbl 1497.65252
Gong, Shihua; Gander, Martin J.; Graham, Ivan G.; Lafontaine, David; Spence, Euan A.
4
2022
A two-level domain-decomposition preconditioner for the time-harmonic Maxwell’s equations. Zbl 1443.65417
Bonazzoli, Marcella; Dolean, Victorita; Graham, Ivan G.; Spence, Euan A.; Tournier, Pierre-Henri
4
2018
Direct and inverse problems in wave propagation and applications. Selected papers of the workshop on wave propagation and scattering, inverse problems and applications in energy and the environment, Linz, Austria, November 21–25, 2011. Zbl 1272.78001
3
2013
Boundary integral methods for singularly perturbed boundary problems. Zbl 0978.65109
Langdon, S.; Graham, I. G.
3
2001
Unified analysis of periodization-based sampling methods for Matérn covariances. Zbl 1471.60047
Bachmayr, Markus; Graham, Ivan G.; Nguyen, Van Kien; Scheichl, Robert
3
2020
Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems. Zbl 1500.35105
Gong, Shihua; Graham, Ivan G.; Spence, Euan A.
3
2023
Estimates for the modulus of smoothness. Zbl 0568.41018
Graham, Ivan G.
3
1985
Adaptive numerical solution of integral equations with application to a problem with a boundary layer. Zbl 0676.65137
Graham, I. G.; Shaw, R. E.; Spence, A.
2
1989
Domain decomposition methods for device modelling. Zbl 0817.65136
Coomer, R. K.; Graham, I. G.
2
1994
Parametrization methods for first kind integral equations on nonsmooth boundaries. Zbl 0823.65143
Elschner, Johannes; Graham, Ivan G.
2
1995
Overlapping Schwarz methods with GenEO coarse spaces for indefinite and nonself-adjoint problems. Zbl 07726053
Bootland, Niall; Dolean, Victorita; Graham, Ivan G.; Ma, Chupeng; Scheichl, Robert
2
2023
Hybrid Galerkin boundary elements on degenerate meshes. Zbl 0937.65127
Graham, I. G.; Hackbusch, W.; Sauter, S. A.
2
2000
Numerical methods for bifurcation problems. Zbl 0939.65078
Spence, Alastair; Graham, Ivan G.
2
1999
Numerical methods for multidimensional integral equations. Zbl 0542.65089
Graham, Ivan G.
2
1984
An iterative variant of the Nyström method for boundary integral equations on non smooth boundaries. Zbl 0688.65067
Atkinson, Kendall E.; Graham, Ivan G.
2
1988
Bounding the spectral gap for an elliptic eigenvalue problem with uniformly bounded stochastic coefficients. Zbl 1452.65315
Gilbert, Alexander D.; Graham, Ivan G.; Scheichl, Robert; Sloan, Ian H.
2
2020
Modern Monte Carlo variants for uncertainty quantification in neutron transport. Zbl 1405.65014
Graham, Ivan G.; Parkinson, Matthew J.; Scheichl, Robert
2
2018
Coefficient-explicit condition number bounds for overlapping additive Schwarz. Zbl 1139.65330
Graham, Ivan G.; Scheichl, Rob
2
2008
Parallel iterative methods for Navier-Stokes equations and application to eigenvalue computation. Zbl 1141.76438
Graham, Ivan G.; Spence, Alastair; Vainikko, Eero
2
2003
Parallel iterative methods for Navier-Stokes equations and application to stability assessment. Zbl 1068.65511
Graham, Ivan G.; Spence, Alastair; Vainikko, Eero
2
2002
Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification. Zbl 1473.35122
Graham, I. G.; Pembery, O. R.; Spence, E. A.
1
2021
Error analysis and uncertainty quantification for the heterogeneous transport equation in slab geometry. Zbl 1502.65175
Graham, Ivan G.; Parkinson, Matthew J.; Scheichl, Robert
1
2021
Optimal panel-clustering in the presence of anisotropic mesh refinement. Zbl 1160.65062
Graham, I. G.; Grasedyck, L.; Hackbusch, W.; Sauter, S. A.
1
2008
Multigrid preconditioners for the hybridised discontinuous Galerkin discretisation of the shallow water equations. Zbl 07510062
Betteridge, Jack; Gibson, Thomas H.; Graham, Ivan G.; Müller, Eike H.
1
2021
Product integration for weakly singular integral equations in \({\mathbb{R}}^ m\). Zbl 0596.65095
Graham, Ivan G.; Schneider, Claus
1
1985
Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems. Zbl 1500.35105
Gong, Shihua; Graham, Ivan G.; Spence, Euan A.
3
2023
Overlapping Schwarz methods with GenEO coarse spaces for indefinite and nonself-adjoint problems. Zbl 07726053
Bootland, Niall; Dolean, Victorita; Graham, Ivan G.; Ma, Chupeng; Scheichl, Robert
2
2023
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. Zbl 1497.65252
Gong, Shihua; Gander, Martin J.; Graham, Ivan G.; Lafontaine, David; Spence, Euan A.
4
2022
Domain decomposition preconditioners for high-order discretizations of the heterogeneous Helmholtz equation. Zbl 1501.65151
Gong, Shihua; Graham, Ivan G.; Spence, Euan A.
14
2021
Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification. Zbl 1473.35122
Graham, I. G.; Pembery, O. R.; Spence, E. A.
1
2021
Error analysis and uncertainty quantification for the heterogeneous transport equation in slab geometry. Zbl 1502.65175
Graham, Ivan G.; Parkinson, Matthew J.; Scheichl, Robert
1
2021
Multigrid preconditioners for the hybridised discontinuous Galerkin discretisation of the shallow water equations. Zbl 07510062
Betteridge, Jack; Gibson, Thomas H.; Graham, Ivan G.; Müller, Eike H.
1
2021
Stability and finite element error analysis for the Helmholtz equation with variable coefficients. Zbl 1427.35016
Graham, I. G.; Sauter, S. A.
32
2020
Domain decomposition with local impedance conditions for the Helmholtz equation with absorption. Zbl 1465.65162
Graham, Ivan G.; Spence, Euan A.; Zou, Jun
21
2020
Unified analysis of periodization-based sampling methods for Matérn covariances. Zbl 1471.60047
Bachmayr, Markus; Graham, Ivan G.; Nguyen, Van Kien; Scheichl, Robert
3
2020
Bounding the spectral gap for an elliptic eigenvalue problem with uniformly bounded stochastic coefficients. Zbl 1452.65315
Gilbert, Alexander D.; Graham, Ivan G.; Scheichl, Robert; Sloan, Ian H.
2
2020
The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances. Zbl 1421.35056
Graham, I. G.; Pembery, O. R.; Spence, E. A.
33
2019
Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption. Zbl 1420.35398
Bonazzoli, M.; Dolean, V.; Graham, I. G.; Spence, E. A.; Tournier, P.-H.
17
2019
Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients. Zbl 1416.65018
Gilbert, A. D.; Graham, I. G.; Kuo, F. Y.; Scheichl, R.; Sloan, I. H.
14
2019
Analysis of circulant embedding methods for sampling stationary random fields. Zbl 1434.60114
Graham, I. G.; Kuo, F. Y.; Nuyens, Dirk; Scheichl, R.; Sloan, I. H.
29
2018
Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients. Zbl 1417.65203
Graham, Ivan G.; Kuo, Frances Y.; Nuyens, Dirk; Scheichl, Rob; Sloan, Ian H.
21
2018
Two-level preconditioners for the Helmholtz equation. Zbl 1443.65416
Bonazzoli, Marcella; Dolean, Victorita; Graham, Ivan G.; Spence, Euan A.; Tournier, Pierre-Henri
9
2018
A two-level domain-decomposition preconditioner for the time-harmonic Maxwell’s equations. Zbl 1443.65417
Bonazzoli, Marcella; Dolean, Victorita; Graham, Ivan G.; Spence, Euan A.; Tournier, Pierre-Henri
4
2018
Modern Monte Carlo variants for uncertainty quantification in neutron transport. Zbl 1405.65014
Graham, Ivan G.; Parkinson, Matthew J.; Scheichl, Robert
2
2018
Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption. Zbl 1368.65250
Graham, I. G.; Spence, E. A.; Vainikko, E.
40
2017
Recent results on domain decomposition preconditioning for the high-frequency Helmholtz equation using absorption. Zbl 1366.65113
Graham, Ivan G.; Spence, Euan A.; Vainikko, Eero
14
2017
Mixed finite element analysis of lognormal diffusion and multilevel Monte Carlo methods. Zbl 1371.65008
Graham, I. G.; Scheichl, R.; Ullmann, E.
16
2016
Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients. Zbl 1341.65003
Graham, I. G.; Kuo, F. Y.; Nichols, J. A.; Scheichl, R.; Schwab, Ch.; Sloan, I. H.
79
2015
Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: What is the largest shift for which wavenumber-independent convergence is guaranteed? Zbl 1328.65238
Gander, M. J.; Graham, I. G.; Spence, E. A.
79
2015
When is the error in the \(h\)-BEM for solving the Helmholtz equation bounded independently of \(k\)? Zbl 1320.65187
Graham, I. G.; Löhndorf, M.; Melenk, J. M.; Spence, E. A.
22
2015
Filon-Clenshaw-Curtis rules for highly oscillatory integrals with algebraic singularities and stationary points. Zbl 1345.65012
Domínguez, V.; Graham, I. G.; Kim, T.
47
2013
Direct and inverse problems in wave propagation and applications. Selected papers of the workshop on wave propagation and scattering, inverse problems and applications in energy and the environment, Linz, Austria, November 21–25, 2011. Zbl 1272.78001
3
2013
Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering. Zbl 1257.65070
Chandler-Wilde, Simon N.; Graham, Ivan G.; Langdon, Stephen; Spence, Euan A.
129
2012
Adaptive finite element methods for computing band gaps in photonic crystals. Zbl 1241.82077
Giani, S.; Graham, I. G.
20
2012
Numerical analysis of multiscale problems. Selected papers based on the presentations at the 91st London Mathematical Society symposium, Durham, UK, July 5–15, 2010. Zbl 1234.65007
7
2012
Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications. Zbl 1218.65009
Graham, I. G.; Kuo, F. Y.; Nuyens, D.; Scheichl, R.; Sloan, I. H.
88
2011
Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals. Zbl 1231.65060
Domínguez, V.; Graham, I. G.; Smyshlyaev, V. P.
63
2011
Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation. Zbl 1272.76217
Betcke, T.; Chandler-Wilde, S. N.; Graham, I. G.; Langdon, S.; Lindner, M.
48
2011
A new frequency-uniform coercive boundary integral equation for acoustic scattering. Zbl 1228.35183
Spence, Euan A.; Chandler-Wilde, Simon N.; Graham, Ivan G.; Smyshlyaev, Valery P.
29
2011
Iterative methods for neutron transport eigenvalue problems. Zbl 1257.82120
Scheben, Fynn; Graham, Ivan G.
7
2011
A new multiscale finite element method for high-contrast elliptic interface problems. Zbl 1202.65154
Chu, C.-C.; Graham, I. G.; Hou, T.-Y.
116
2010
A convergent adaptive method for elliptic eigenvalue problems. Zbl 1191.65147
Giani, S.; Graham, I. G.
48
2009
Condition number estimates for combined potential boundary integral operators in acoustic scattering. Zbl 1167.35030
Chandler-Wilde, Simon N.; Graham, Ivan G.; Langdon, Stephen; Lindner, Marko
34
2009
Energy-minimizing coarse spaces for two-level Schwarz methods for multiscale PDEs. Zbl 1224.65292
Van lent, Jan; Scheichl, Robert; Graham, Ivan G.
20
2009
Boundary integral methods in high frequency scattering. Zbl 1180.78023
Chandler-Wilde, Simon N.; Graham, Ivan G.
10
2009
Towards a rigorously justified algebraic preconditioner for high-contrast diffusion problems. Zbl 1522.65039
Aksoylu, Burak; Graham, Ivan G.; Klie, Hector; Scheichl, Robert
8
2008
Coefficient-explicit condition number bounds for overlapping additive Schwarz. Zbl 1139.65330
Graham, Ivan G.; Scheichl, Rob
2
2008
Optimal panel-clustering in the presence of anisotropic mesh refinement. Zbl 1160.65062
Graham, I. G.; Grasedyck, L.; Hackbusch, W.; Sauter, S. A.
1
2008
Domain decomposition for multiscale PDEs. Zbl 1141.65084
Graham, I. G.; Lechner, P. O.; Scheichl, R.
65
2007
A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering. Zbl 1169.76056
Domínguez, V.; Graham, I. G.; Smyshlyaev, V. P.
55
2007
Robust domain decomposition algorithms for multiscale PDEs. Zbl 1141.65085
Graham, I. G.; Scheichl, R.
21
2007
Inexact inverse iteration for symmetric matrices. Zbl 1101.65037
Berns-Müller, Jörg; Graham, Ivan G.; Spence, Alastair
24
2006
Anisotropic mesh refinement: The conditioning of Galerkin boundary element matrices and simple preconditioners. Zbl 1125.65111
Graham, Ivan G.; McLean, William
14
2006
Finite elements on degenerate meshes: inverse-type inequalities and applications. Zbl 1076.65098
Graham, I. G.; Hackbusch, W.; Sauter, S. A.
40
2005
The computation of conical diffraction coefficients in high-frequency acoustic wave scattering. Zbl 1104.65115
Bonner, B. D.; Graham, I. G.; Smyshlyaev, V. P.
10
2005
A high-order algorithm for obstacle scattering in three dimensions. Zbl 1052.65108
Ganesh, M.; Graham, I. G.
63
2004
Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method. Zbl 1050.65110
Dahmen, W.; Faermann, B.; Graham, I. G.; Hackbusch, W.; Sauter, S. A.
41
2004
Parallel iterative methods for Navier-Stokes equations and application to eigenvalue computation. Zbl 1141.76438
Graham, Ivan G.; Spence, Alastair; Vainikko, Eero
2
2003
Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in \(\mathbb R^3\). Zbl 1018.65139
Graham, I. G.; Sloan, I. H.
42
2002
Parallel iterative methods for Navier-Stokes equations and application to stability assessment. Zbl 1068.65511
Graham, Ivan G.; Spence, Alastair; Vainikko, Eero
2
2002
Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth. Zbl 0988.92003
Chaplain, M. A. J.; Ganesh, M.; Graham, I. G.
93
2001
Boundary integral methods for singularly perturbed boundary problems. Zbl 0978.65109
Langdon, S.; Graham, I. G.
3
2001
Parallel computation of flow in heterogeneous media modelled by mixed finite elements. Zbl 0995.76044
Cliffe, K. A.; Graham, I. G.; Scheichl, R.; Stals, L.
20
2000
Numerical methods for integral equations of Mellin type. Zbl 0973.65129
Elschner, J.; Graham, I. G.
11
2000
Hybrid Galerkin boundary elements: Theory and implementation. Zbl 0966.65091
Graham, I. G.; Hackbusch, W.; Sauter, S. A.
7
2000
Discrete boundary element methods on general meshes in 3D. Zbl 0966.65090
Graham, I. G.; Hackbusch, W.; Sauter, S. A.
5
2000
Hybrid Galerkin boundary elements on degenerate meshes. Zbl 0937.65127
Graham, I. G.; Hackbusch, W.; Sauter, S. A.
2
2000
Unstructured additive Schwarz-conjugate gradient method for elliptic problems with highly discontinuous coefficients. Zbl 0943.65147
Graham, I. G.; Hagger, M. J.
30
1999
Numerical methods for bifurcation problems. Zbl 0939.65078
Spence, Alastair; Graham, Ivan G.
2
1999
A new spectral boundary integral collocation method for three-dimensional potential problems. Zbl 0915.65115
Ganesh, M.; Graham, I. G.; Sivaloganathan, J.
18
1998
Quadrature methods for Symm’s integral equation on polygons. Zbl 0888.65123
Elschner, Johannes; Graham, Ivan G.
8
1997
Massively parallel methods for semiconductor device modelling. Zbl 0861.65111
Coomer, R. K.; Graham, I. G.
7
1996
An optimal order collocation method for first kind boundary integral equations on polygons. Zbl 0827.65117
Elschner, J.; Graham, I. G.
21
1995
Parametrization methods for first kind integral equations on nonsmooth boundaries. Zbl 0823.65143
Elschner, Johannes; Graham, Ivan G.
2
1995
A pseudospectral three-dimensional boundary integral method applied to a nonlinear model problem from finite elasticity. Zbl 0815.41008
Ganesh, M.; Graham, I. G.; Sivaloganathan, J.
19
1994
Domain decomposition methods for device modelling. Zbl 0817.65136
Coomer, R. K.; Graham, I. G.
2
1994
The computation of water waves modelled by Nekrasov’s equation. Zbl 0780.76059
Chandler, G. A.; Graham, I. G.
13
1993
On the Sloan iteration applied to integral equations of the first kind. Zbl 0781.65105
Graham, Ivan G.; Atkinson, Kendall E.
4
1993
Iterative solution of linear systems arising from the boundary integral method. Zbl 0809.65110
Atkinson, Kendall E.; Graham, Ivan G.
17
1992
Extrapolation of Nyström solutions of boundary integral equations on non-smooth domains. Zbl 0762.65062
Graham, I. G.; Lin, Qun; Xie, Ruifeng
5
1992
Piecewise-constant collocation for first-kind boundary integral equations. Zbl 0738.65097
Graham, I. G.; Yan, Y.
7
1991
Nyström-product integration for Wiener-Hopf equations with applications to radiative transfer. Zbl 0675.65146
Graham, Ivan G.; Mendes, Wendy R.
15
1989
Adaptive numerical solution of integral equations with application to a problem with a boundary layer. Zbl 0676.65137
Graham, I. G.; Shaw, R. E.; Spence, A.
2
1989
Product integration-collocation methods for noncompact integral operator equations. Zbl 0639.65074
Chandler, G. A.; Graham, I. G.
30
1988
High-order methods for linear functionals of solutions of second kind integral equations. Zbl 0661.65137
Graham, I. G.; Chandler, G. A.
24
1988
The convergence of Nyström methods for Wiener-Hopf equations. Zbl 0621.65138
Chandler, G. A.; Graham, I. G.
15
1988
An iterative variant of the Nyström method for boundary integral equations on non smooth boundaries. Zbl 0688.65067
Atkinson, Kendall E.; Graham, Ivan G.
2
1988
Uniform convergence of Galerkin solutions to non-compact integral operator equations. Zbl 0628.65137
Chandler, G. A.; Graham, I. G.
5
1987
Iterated Galerkin versus iterated collocation for integral equations of the second kind. Zbl 0586.65091
Graham, Ivan G.; Joe, Stephen; Sloan, Ian H.
29
1985
Estimates for the modulus of smoothness. Zbl 0568.41018
Graham, Ivan G.
3
1985
Product integration for weakly singular integral equations in \({\mathbb{R}}^ m\). Zbl 0596.65095
Graham, Ivan G.; Schneider, Claus
1
1985
Numerical methods for multidimensional integral equations. Zbl 0542.65089
Graham, Ivan G.
2
1984
Piecewise continuous collocation for integral equations. Zbl 0514.65094
Atkinson, K.; Graham, I.; Sloan, I.
71
1983
Galerkin methods for second kind integral equations with singularities. Zbl 0496.65068
Graham, Ivan G.
35
1982
Singularity expansions for the solutions of second kind Fredholm integral equations with weakly singular convolution kernels. Zbl 0482.45003
Graham, Ivan G.
27
1982
Collocation methods for two dimensional weakly singular integral equations. Zbl 0469.65092
Graham, Ivan G.
23
1981
Interpreting multivariate data. Proceedings of the Conference on Looking at Multivariate Data held in the University of Sheffield, Sheffield, March 24-27, 1980. Zbl 0597.62002
6
1981
On the compactness of certain integral operators. Zbl 0406.45021
Graham, Ivan G.; Sloan, Ian H.
7
1979
all top 5

Cited by 1,800 Authors

41 Graham, Ivan G.
39 Spence, Euan A.
35 Scheichl, Robert
27 Ganesh, Mahadevan
26 Sloan, Ian Hugh
24 Chung, Tsz Shun Eric
24 Praetorius, Dirk
23 Nelakanti, Gnaneshwar
21 Schwab, Christoph
19 Efendiev, Yalchin R.
19 Kuo, Frances Y.
19 Xiang, Shuhuang
18 Chandler-Wilde, Simon N.
16 Melenk, Jens Markus
15 Xu, Yuesheng
14 Gander, Martin Jakob
13 Allouch, Chafik
12 Galvis, Juan
12 Kulkarni, Rekha P.
12 Le Louër, Frédérique
12 Nuyens, Dirk
12 Peterseim, Daniel
12 Sbibih, Driss
11 Feischl, Michael
11 Führer, Thomas
11 Sauter, Stefan
10 Dolean, Victorita
10 Giani, Stefano
10 Hawkins, Stuart Collin
10 Karkulik, Michael
10 Leung, Wingtat
10 Moiola, Andrea
10 Tahrichi, Mohamed
10 Vainikko, Gennadi
10 Vuik, Cornelis
9 Chapko, Roman
9 Galkowski, Jeffrey
9 Guo, Ruchi
9 Hewett, David P.
9 Huybrechs, Daan
9 Laurita, Concetta
9 Sayas, Francisco-Javier
9 Wunsch, Jared
8 Chen, Yanping
8 Chen, Zhongying
8 Dehghan Takht Fooladi, Mehdi
8 Harbrecht, Helmut
8 Kress, Rainer
8 Long, Guangqing
8 Madzvamuse, Anotida
8 Majidian, Hassan
8 Pechstein, Clemens
8 Tournier, Pierre-Henri
8 Wu, Qinghua
8 Zhang, Zhiwen
7 Assari, Pouria
7 Betcke, Timo
7 Dolgov, Sergey V.
7 Ecevit, Fatih
7 Huang, Jin
7 Kang, Hongchao
7 Lafontaine, David
7 Langdon, Stephen
7 Li, Guanglian
7 Nahid, Nilofar
7 Nobile, Fabio
7 Rapún, María-Luisa
7 Sarkis, Marcus V.
7 Ullmann, Elisabeth
7 Vassilevski, Panayot Spirov
6 Barth, Andrea
6 Boubendir, Yassine
6 Carstensen, Carsten
6 Domínguez, Víctor
6 Elschner, Johannes
6 Freitag, Melina A.
6 Gao, Jing
6 Herrmann, Lukas
6 Heuer, Norbert
6 Hiptmair, Ralf
6 Hou, Thomas Yizhao
6 Huang, Qiumei
6 Kaneko, Hideaki
6 Lin, Tao
6 Ma, Junjie
6 Maleknejad, Khosrow
6 Pedas, Arvet
6 Wang, Feng
6 Wu, Haijun
6 Wu, Shulin
6 Xu, Fei
5 Aurada, Markus
5 Barnett, Alex H.
5 Bonazzoli, Marcella
5 Bruno, Oscar P.
5 Chaillat, Stéphanie
5 Chakraborty, Samiran
5 Deng, Weibing
5 Ferraz-Leite, Samuel
5 Fu, Shubin
...and 1,700 more Authors
all top 5

Cited in 211 Serials

101 Journal of Computational and Applied Mathematics
100 Journal of Computational Physics
86 Numerische Mathematik
56 SIAM Journal on Scientific Computing
52 Mathematics of Computation
51 Computer Methods in Applied Mechanics and Engineering
51 Journal of Scientific Computing
49 Computers & Mathematics with Applications
47 Journal of Integral Equations and Applications
43 Applied Numerical Mathematics
37 Applied Mathematics and Computation
37 SIAM Journal on Numerical Analysis
27 SIAM/ASA Journal on Uncertainty Quantification
25 Numerical Algorithms
25 Advances in Computational Mathematics
22 Multiscale Modeling & Simulation
20 International Journal of Computer Mathematics
19 BIT
17 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
17 Numerical Linear Algebra with Applications
17 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
15 Engineering Analysis with Boundary Elements
13 Numerical Methods for Partial Differential Equations
11 Wave Motion
10 Numerical Functional Analysis and Optimization
10 SIAM Journal on Mathematical Analysis
10 Computational Methods in Applied Mathematics
9 Calcolo
9 Computational and Applied Mathematics
8 Advances in Applied Mathematics and Mechanics
7 Journal of Mathematical Analysis and Applications
7 Integral Equations and Operator Theory
7 International Journal for Numerical Methods in Engineering
7 Applied Mathematical Modelling
7 ETNA. Electronic Transactions on Numerical Analysis
7 Communications in Computational Physics
6 Journal of Mathematical Biology
6 Computing
6 Computational Mechanics
6 SIAM Journal on Matrix Analysis and Applications
6 Computational Geosciences
6 International Journal of Numerical Analysis and Modeling
6 Science China. Mathematics
5 Bulletin of Mathematical Biology
5 Mathematics and Computers in Simulation
5 SIAM Journal on Applied Mathematics
5 Computing and Visualization in Science
5 Foundations of Computational Mathematics
5 Journal of Theoretical Biology
5 Stochastic and Partial Differential Equations. Analysis and Computations
4 Inverse Problems
4 Journal of Complexity
4 Applied Mathematics Letters
4 Linear Algebra and its Applications
4 Communications in Nonlinear Science and Numerical Simulation
4 SIAM Journal on Applied Dynamical Systems
4 Advances in Difference Equations
3 Applicable Analysis
3 Communications on Pure and Applied Mathematics
3 Journal of Fluid Mechanics
3 Journal of Approximation Theory
3 Acta Mathematicae Applicatae Sinica. English Series
3 Mathematical and Computer Modelling
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 SIAM Review
3 Applied and Computational Harmonic Analysis
3 Mathematical Problems in Engineering
3 Abstract and Applied Analysis
3 The ANZIAM Journal
3 Mathematical Modelling and Analysis
3 Discrete and Continuous Dynamical Systems. Series B
3 Journal of Applied Mathematics and Computing
3 East Asian Journal on Applied Mathematics
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Pure and Applied Analysis
3 SN Partial Differential Equations and Applications
3 Results in Applied Mathematics
2 Computer Physics Communications
2 International Journal for Numerical Methods in Fluids
2 Journal of Engineering Mathematics
2 Mathematical Biosciences
2 Mathematical Methods in the Applied Sciences
2 Journal of Functional Analysis
2 Mathematische Nachrichten
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Quarterly of Applied Mathematics
2 Acta Applicandae Mathematicae
2 Physica D
2 Constructive Approximation
2 European Journal of Applied Mathematics
2 Applications of Mathematics
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 The Journal of Analysis
2 Turkish Journal of Mathematics
2 Discrete and Continuous Dynamical Systems
2 The Journal of Fourier Analysis and Applications
2 Methodology and Computing in Applied Probability
2 Archives of Computational Methods in Engineering
2 Journal of the Australian Mathematical Society
2 Journal of Numerical Mathematics
...and 111 more Serials
all top 5

Cited in 43 Fields

1,226 Numerical analysis (65-XX)
653 Partial differential equations (35-XX)
286 Integral equations (45-XX)
167 Fluid mechanics (76-XX)
104 Optics, electromagnetic theory (78-XX)
94 Probability theory and stochastic processes (60-XX)
74 Mechanics of deformable solids (74-XX)
65 Approximations and expansions (41-XX)
48 Biology and other natural sciences (92-XX)
41 Operator theory (47-XX)
27 Statistics (62-XX)
26 Statistical mechanics, structure of matter (82-XX)
25 Linear and multilinear algebra; matrix theory (15-XX)
21 Harmonic analysis on Euclidean spaces (42-XX)
19 Calculus of variations and optimal control; optimization (49-XX)
18 Potential theory (31-XX)
18 Ordinary differential equations (34-XX)
16 Global analysis, analysis on manifolds (58-XX)
15 Computer science (68-XX)
13 Real functions (26-XX)
13 Special functions (33-XX)
12 Dynamical systems and ergodic theory (37-XX)
10 Functional analysis (46-XX)
10 Geophysics (86-XX)
10 Systems theory; control (93-XX)
8 Integral transforms, operational calculus (44-XX)
7 Classical thermodynamics, heat transfer (80-XX)
5 Functions of a complex variable (30-XX)
5 Differential geometry (53-XX)
5 Quantum theory (81-XX)
4 General and overarching topics; collections (00-XX)
4 Measure and integration (28-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Operations research, mathematical programming (90-XX)
3 Information and communication theory, circuits (94-XX)
2 Combinatorics (05-XX)
2 Mechanics of particles and systems (70-XX)
1 History and biography (01-XX)
1 Number theory (11-XX)
1 Topological groups, Lie groups (22-XX)
1 Abstract harmonic analysis (43-XX)
1 Manifolds and cell complexes (57-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year