Iterative Solution of Linear Systems Arising from the Boundary Integral Method. - Kendall E. Atkinson; Ivan G. Graham (SIAM J. Sci. Comput., 1992)

Massively Parallel Methods for Semiconductor Device Modelling. - R. K. Coomer; Ivan G. Graham (Computing, 1996)

Discrete boundary element methods on general meshes in 3D. - Ivan G. Graham; Wolfgang Hackbusch; Stefan A. Sauter (Numerische Mathematik, 2000)

Hybrid Galerkin boundary elements: theory and implementation. - Ivan G. Graham; Wolfgang Hackbusch; Stefan A. Sauter (Numerische Mathematik, 2000)

Parallel Iterative Methods for Navier-Stokes Equations and Application to Stability Assessment (Distinguished Paper). - Ivan G. Graham; Alastair Spence; Eero Vainikko (Euro-Par, 2002)

Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in ℝ3. - Ivan G. Graham; Ian H. Sloan (Numerische Mathematik, 2002)

Parallel iterative methods for Navier-Stokes equations and application to eigenvalue computation. - Ivan G. Graham; Alastair Spence; Eero Vainikko (Concurr. Comput. Pract. Exp., 2003)

Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method. - Wolfgang Dahmen; B. Faermann; Ivan G. Graham; Wolfgang Hackbusch; Stefan A. Sauter (Math. Comput., 2004)

The Computation of Conical Diffraction Coefficients in High-Frequency Acoustic Wave Scattering. - B. D. Bonner; Ivan G. Graham; Valery P. Smyshlyaev (SIAM J. Numer. Anal., 2005)

Anisotropic Mesh Refinement: The Conditioning of Galerkin Boundary Element Matrices and Simple Preconditioners. - Ivan G. Graham; William McLean (SIAM J. Numer. Anal., 2006)

A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering. - Víctor Domínguez; Ivan G. Graham; Valery P. Smyshlyaev (Numerische Mathematik, 2007)

Domain decomposition for multiscale PDEs. - Ivan G. Graham; Patrick O. Lechner; Robert Scheichl (Numerische Mathematik, 2007)

Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement. - Ivan G. Graham; Lars Grasedyck; Wolfgang Hackbusch; Stefan A. Sauter (SIAM J. Numer. Anal., 2007)

Energy-minimizing coarse spaces for two-level Schwarz methods for multiscale PDEs. - Jan Van Lent; Robert Scheichl; Ivan G. Graham (Numer. Linear Algebra Appl., 2009)

A Convergent Adaptive Method for Elliptic Eigenvalue Problems. - Stefano Giani; Ivan G. Graham (SIAM J. Numer. Anal., 2009)

A new multiscale finite element method for high-contrast elliptic interface problems. - C.-C. Chu; Ivan G. Graham; T.-Y. Hou (Math. Comput., 2010)

Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications. - Ivan G. Graham; Frances Y. Kuo; Dirk Nuyens; Robert Scheichl; Ian H. Sloan (J. Comput. Phys., 2011)

Iterative Methods for Neutron Transport Eigenvalue Problems. - Fynn Scheben; Ivan G. Graham (SIAM J. Sci. Comput., 2011)

Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering. - Simon N. Chandler-Wilde; Ivan G. Graham; Stephen Langdon; Euan A. Spence (Acta Numer., 2012)

Adaptive finite element methods for computing band gaps in photonic crystals. - Stefano Giani; Ivan G. Graham (Numerische Mathematik, 2012)

Filon-Clenshaw-Curtis Rules for Highly Oscillatory Integrals with Algebraic Singularities and Stationary Points. - Víctor Domínguez; Ivan G. Graham; Tatiana Kim (SIAM J. Numer. Anal., 2013)

Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: what is the largest shift for which wavenumber-independent convergence is guaranteed? - Martin J. Gander; Ivan G. Graham; Euan A. Spence (Numerische Mathematik, 2015)

Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients. - Ivan G. Graham; Frances Y. Kuo; James A. Nichols; Robert Scheichl; Christoph Schwab; Ian H. Sloan (Numerische Mathematik, 2015)

Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption. - Ivan G. Graham; Euan A. Spence; Eero Vainikko (Math. Comput., 2017)

Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients. - Ivan G. Graham; Frances Y. Kuo; Dirk Nuyens; Robert Scheichl; Ian H. Sloan (Numerische Mathematik, 2018)

Analysis of Circulant Embedding Methods for Sampling Stationary Random Fields. - Ivan G. Graham; Frances Y. Kuo; Dirk Nuyens; Robert Scheichl; Ian H. Sloan (SIAM J. Numer. Anal., 2018)

Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption. - Marcella Bonazzoli; Victorita Dolean; Ivan G. Graham; Euan A. Spence; Pierre-Henri Tournier (Math. Comput., 2019)

Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems with stochastic coefficients. - Alexander D. Gilbert; Ivan G. Graham; Frances Y. Kuo; Robert Scheichl; Ian H. Sloan (Numerische Mathematik, 2019)

Domain decomposition preconditioners for high-order discretisations of the heterogeneous Helmholtz equation. - Shihua Gong; Ivan G. Graham; Euan A. Spence (CoRR, 2020)

Multigrid preconditioners for the hybridized Discontinuous Galerkin discretisation of the shallow water equations. - Jack D. Betteridge; Thomas H. Gibson; Ivan G. Graham; Eike Hermann Müller (CoRR, 2020)

Stability and finite element error analysis for the Helmholtz equation with variable coefficients. - Ivan G. Graham; Stefan A. Sauter (Math. Comput., 2020)

Unified Analysis of Periodization-Based Sampling Methods for Matérn Covariances. - Markus Bachmayr; Ivan G. Graham; Van Kien Nguyen; Robert Scheichl (SIAM J. Numer. Anal., 2020)

Domain Decomposition with Local Impedance Conditions for the Helmholtz Equation with Absorption. - Ivan G. Graham; Euan A. Spence; Jun Zou (SIAM J. Numer. Anal., 2020)

Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification. - Ivan G. Graham; Owen R. Pembery; Euan A. Spence (Adv. Comput. Math., 2021)

A variational interpretation of Restricted Additive Schwarz with impedance transmission condition for the Helmholtz problem. - Shihua Gong; Martin J. Gander; Ivan G. Graham; Euan A. Spence (CoRR, 2021)

GenEO coarse spaces for heterogeneous indefinite elliptic problems. - Niall Bootland; Victorita Dolean; Ivan G. Graham; Chupeng Ma; Robert Scheichl (CoRR, 2021)

Overlapping Schwarz methods with GenEO coarse spaces for indefinite and non-self-adjoint problems. - Niall Bootland; Victorita Dolean; Ivan G. Graham; Chupeng Ma; Robert Scheichl (CoRR, 2021)

Multigrid preconditioners for the hybridised discontinuous Galerkin discretisation of the shallow water equations. - Jack D. Betteridge; Thomas H. Gibson; Ivan G. Graham; Eike Hermann Müller (J. Comput. Phys., 2021)

Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation. - Shihua Gong; Martin J. Gander; Ivan G. Graham; David Lafontaine; Euan A. Spence (Numerische Mathematik, 2022)

Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems. - Shihua Gong; Ivan G. Graham; Euan A. Spence (Math. Comput., 2022)

Optimisation of seismic imaging via bilevel learning. - Shaunagh Downing; Silvia Gazzola; Ivan G. Graham; Euan A. Spence (CoRR, 2023)

Improvements to the theoretical estimates of the Schwarz preconditioner with Δ-GenEO coarse space for the indefinite Helmholtz problem. - Victorita Dolean; Mark Fry; Ivan G. Graham; Matthias Langer (CoRR, 2024)

Convergence of overlapping domain decomposition methods with PML transmission conditions applied to nontrapping Helmholtz problems. - Jeffrey Galkowski; Shihua Gong; Ivan G. Graham; David Lafontaine; Euan A. Spence (CoRR, 2024)

Schwarz preconditioner with Hk-GenEO coarse space for the indefinite Helmholtz problem. - Victorita Dolean; Mark Fry; Ivan G. Graham; Matthias Langer (CoRR, 2024)

Schwarz methods with PMLs for Helmholtz problems: fast convergence at high frequency. - Jeffrey Galkowski; Shihua Gong; Ivan G. Graham; David Lafontaine; Euan A. Spence (CoRR, 2024)

A Filon-Clenshaw-Curtis-Smolyak rule for multi-dimensional oscillatory integrals with application to a UQ problem for the Helmholtz equation. - Zhizhang Wu; Ivan G. Graham; Dingjiong Ma; Zhiwen Zhang 001 (Math. Comput., 2024)

Two-level hybrid Schwarz preconditioners with piecewise-polynomial coarse spaces for the high-frequency Helmholtz equation. - Ivan G. Graham; Euan A. Spence (CoRR, 2025)

Quasi-Monte Carlo methods for uncertainty quantification of wave propagation and scattering problems modelled by the Helmholtz equation. - Ivan G. Graham; Frances Y. Kuo; Dirk Nuyens; Ian H. Sloan; Euan A. Spence (CoRR, 2025)