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Euan A Spence
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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
2492012
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
1252015
Is the Helmholtz equation really sign-indefinite?
A Moiola, EA Spence
Siam Review 56 (2), 274-312, 2014
872014
Synthesis, as opposed to separation, of variables
AS Fokas, EA Spence
Siam Review 54 (2), 291-324, 2012
672012
Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption
I Graham, E Spence, E Vainikko
Mathematics of Computation 86 (307), 2089-2127, 2017
66*2017
Wavenumber-explicit bounds in time-harmonic acoustic scattering
EA Spence
SIAM Journal on Mathematical Analysis 46 (4), 2987-3024, 2014
652014
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
602016
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
582010
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
552011
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
522019
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
522019
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
432019
Boundary value problems for linear elliptic PDEs
EA Spence
University of Cambridge, 2011
432011
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
432010
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
412009
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
402015
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
372015
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
352011
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
332020
High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis
SN Chandler-Wilde, EA Spence, A Gibbs, VP Smyshlyaev
SIAM Journal on Mathematical Analysis 52 (1), 845-893, 2020
322020
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