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I.G. Graham
I.G. Graham
Professor of Numerical Analysis
Verified email at bath.ac.uk - Homepage
Title
Cited by
Cited by
Year
Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth
MAJ Chaplain, M Ganesh, IG Graham
Journal of mathematical biology 42, 387-423, 2001
3072001
Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering
SN Chandler-Wilde, IG Graham, S Langdon, EA Spence
Acta numerica 21, 89-305, 2012
2702012
A new multiscale finite element method for high-contrast elliptic interface problems
CC Chu, I Graham, TY Hou
Mathematics of Computation 79 (272), 1915-1955, 2010
2352010
Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications
IG Graham, FY Kuo, D Nuyens, R Scheichl, IH Sloan
Journal of Computational Physics 230 (10), 3668-3694, 2011
2092011
Domain decomposition for multiscale PDEs
IG Graham, PO Lechner, R Scheichl
Numerische Mathematik 106, 589-626, 2007
2082007
Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients
IG Graham, FY Kuo, JA Nichols, R Scheichl, C Schwab, IH Sloan
Numerische Mathematik 131, 329-368, 2015
1822015
A high-order algorithm for obstacle scattering in three dimensions
M Ganesh, IG Graham
Journal of Computational Physics 198 (1), 211-242, 2004
1652004
Piecewise continuous collocation for integral equations
K Atkinson, I Graham, I Sloan
SIAM Journal on Numerical Analysis 20 (1), 172-186, 1983
1471983
Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: what is the largest shift for which wavenumber-independent convergence is guaranteed?
MJ Gander, IG Graham, EA Spence
Numerische Mathematik 131 (3), 567-614, 2015
1432015
A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering
V Domínguez, IG Graham, VP Smyshlyaev
Numerische Mathematik 106 (3), 471-510, 2007
1362007
Stability and error estimates for Filon–Clenshaw–Curtis rules for highly oscillatory integrals
V Dominguez, IG Graham, VP Smyshlyaev
IMA journal of numerical analysis 31 (4), 1253-1280, 2011
1342011
Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in
IG Graham, IH Sloan
Numerische Mathematik 92, 289-323, 2002
1212002
High-order methods for linear functionals of solutions of second kind integral equations
IG Graham, GA Chandler
SIAM journal on numerical analysis 25 (5), 1118-1137, 1988
1081988
Finite elements on degenerate meshes: inverse-type inequalities and applications
IG Graham, W Hackbusch, SA Sauter
IMA Journal of Numerical Analysis 25 (2), 379-407, 2005
1072005
Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method
W Dahmen, B Faermann, I Graham, W Hackbusch, S Sauter
Mathematics of computation 73 (247), 1107-1138, 2004
1062004
Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation
T Betcke, SN Chandler‐Wilde, IG Graham, S Langdon, M Lindner
Numerical Methods for Partial Differential Equations 27 (1), 31-69, 2011
1052011
Product integration-collocation methods for noncompact integral operator equations
GA Chandler, IG Graham
Mathematics of computation 50 (181), 125-138, 1988
1041988
Condition number estimates for combined potential boundary integral operators in acoustic scattering
SN Chandler-Wilde, IG Graham, S Langdon, M Lindner
The Journal of Integral Equations and Applications, 229-279, 2009
982009
A convergent adaptive method for elliptic eigenvalue problems
S Giani, IG Graham
SIAM journal on numerical analysis 47 (2), 1067-1091, 2009
972009
Unstructured additive Schwarz--conjugate gradient method for elliptic problems with highly discontinuous coefficients
IG Graham, MJ Hagger
SIAM Journal on Scientific Computing 20 (6), 2041-2066, 1999
961999
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