Euan A Spence
Cited by
Cited by
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
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
Is the Helmholtz equation really sign-indefinite?
A Moiola, EA Spence
Siam Review 56 (2), 274-312, 2014
Domain decomposition preconditioning for high-frequency Helmholtz problems with absorption
I Graham, E Spence, E Vainikko
Mathematics of Computation 86 (307), 2089-2127, 2017
Synthesis, as opposed to separation, of variables
AS Fokas, EA Spence
Siam Review 54 (2), 291-324, 2012
Wavenumber-explicit bounds in time-harmonic acoustic scattering
EA Spence
SIAM Journal on Mathematical Analysis 46 (4), 2987-3024, 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
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
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
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
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
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
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
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
Boundary value problems for linear elliptic PDEs
EA Spence
University of Cambridge, 2011
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
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
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
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
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
The system can't perform the operation now. Try again later.
Articles 1–20