| Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering S Chandler-Wilde, IG Graham, S Langdon, EA Spence Acta numerica 21, 89-305, 2012 | 189 | 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 | 92 | 2015 |
| Is the Helmholtz equation really sign-indefinite? A Moiola, EA Spence Siam Review 56 (2), 274-312, 2014 | 71 | 2014 |
| 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 | 54 | 2010 |
| Synthesis, as opposed to separation, of variables AS Fokas, EA Spence Siam Review 54 (2), 291-324, 2012 | 49 | 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 | 47* | 2017 |
| Wavenumber-explicit bounds in time-harmonic acoustic scattering EA Spence SIAM Journal on Mathematical Analysis 46 (4), 2987-3024, 2014 | 43 | 2014 |
| 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 | 43 | 2011 |
| Boundary value problems for linear elliptic PDEs EA Spence University of Cambridge, 2011 | 43 | 2011 |
| 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 | 40 | 2016 |
| 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 | 40 | 2010 |
| 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 | 33 | 2009 |
| 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 | 32 | 2015 |
| 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 | 31 | 2019 |
| A new transform method II: the global relation and boundary-value problems in polar coordinates EA Spence, AS Fokas Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2010 | 31 | 2010 |
| Wen is te error in te $$$$-BEM for solving te Helmoltz equation bounded independently of $$ k $$ k? IG Graham, M Löhndorf, JM Melenk, EA Spence BIT Numerical Mathematics 55 (1), 171-214, 2015 | 30 | 2015 |
| Numerical estimation of coercivity constants for boundary integral operators in acoustic scattering T Betcke, EA Spence SIAM Journal on Numerical Analysis 49 (4), 1572-1601, 2011 | 30 | 2011 |
| 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 | 27 | 2019 |
| Chapter 6: Overview of Variational Formulations for Linear Elliptic PDEs EA Spence Unified Transform for Boundary Value Problems: Applications and Advances, 93-159, 2014 | 24* | 2014 |
| Recent results on domain decomposition preconditioning for the high-frequency Helmholtz equation using absorption IG Graham, EA Spence, E Vainikko Modern solvers for Helmholtz problems, 3-26, 2017 | 19 | 2017 |
I.G. Graham Professor of Numerical Analysis Verified email at bath.ac.uk
