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 | 276 | 2012 |
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 | 142 | 2015 |
Is the Helmholtz equation really sign-indefinite? A Moiola, EA Spence Siam Review 56 (2), 274-312, 2014 | 95 | 2014 |
Synthesis, as opposed to separation, of variables AS Fokas, EA Spence Siam Review 54 (2), 291-324, 2012 | 81 | 2012 |
Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption I Graham, E Spence, E Vainikko Mathematics of Computation 86 (307), 2089-2127, 2017 | 80* | 2017 |
Wavenumber-explicit bounds in time-harmonic acoustic scattering EA Spence SIAM Journal on Mathematical Analysis 46 (4), 2987-3024, 2014 | 72 | 2014 |
Sharp high-frequency estimates for the Helmholtz equation and applications to boundary integral equations D Baskin, EA Spence, J Wunsch SIAM Journal on Mathematical Analysis 48 (1), 229-267, 2016 | 69 | 2016 |
Acoustic transmission problems: wavenumber-explicit bounds and resonance-free regions A Moiola, EA Spence Mathematical Models and Methods in Applied Sciences 29 (02), 317-354, 2019 | 68 | 2019 |
The Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonances IG Graham, OR Pembery, EA Spence Journal of Differential Equations 266 (6), 2869-2923, 2019 | 67 | 2019 |
A spectral collocation method for the Laplace and modified Helmholtz equations in a convex polygon SA Smitheman, EA Spence, AS Fokas IMA journal of numerical analysis 30 (4), 1184-1205, 2010 | 63 | 2010 |
A new frequency‐uniform coercive boundary integral equation for acoustic scattering EA Spence, SN Chandler‐Wilde, IG Graham, VP Smyshlyaev Communications on Pure and Applied Mathematics 64 (10), 1384-1415, 2011 | 58 | 2011 |
Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption M Bonazzoli, V Dolean, I Graham, E Spence, PH Tournier Mathematics of Computation 88 (320), 2559-2604, 2019 | 55 | 2019 |
Domain decomposition with local impedance conditions for the Helmholtz equation with absorption IG Graham, EA Spence, J Zou SIAM Journal on Numerical Analysis 58 (5), 2515-2543, 2020 | 50 | 2020 |
A new transform method I: domain-dependent fundamental solutions and integral representations EA Spence, AS Fokas Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2010 | 49 | 2010 |
Coercivity of Combined Boundary Integral Equations in High‐Frequency Scattering EA Spence, IV Kamotski, VP Smyshlyaev Communications on Pure and Applied Mathematics 68 (9), 1587-1639, 2015 | 47 | 2015 |
Boundary value problems for linear elliptic PDEs EA Spence University of Cambridge, 2011 | 45 | 2011 |
A semi-analytical numerical method for solving evolution and elliptic partial differential equations AS Fokas, N Flyer, SA Smitheman, EA Spence Journal of computational and applied mathematics 227 (1), 59-74, 2009 | 43 | 2009 |
For Most Frequencies, Strong Trapping Has a Weak Effect in Frequency‐Domain Scattering D Lafontaine, EA Spence, J Wunsch Communications on Pure and Applied Mathematics 74 (10), 2025-2063, 2021 | 42 | 2021 |
When is the error in the -BEM for solving the Helmholtz equation bounded independently of ? IG Graham, M Löhndorf, JM Melenk, EA Spence BIT Numerical Mathematics 55 (1), 171-214, 2015 | 38 | 2015 |
Optimal constants in nontrapping resolvent estimates and applications in numerical analysis J Galkowski, EA Spence, J Wunsch Pure and Applied Analysis 2 (1), 157-202, 2019 | 37 | 2019 |