Items by Spence, Euan
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Number of items: 18.
Graham, I., Spence, E. and Vainikko, E., 2017. Forthcoming. Recent results on domain decomposition preconditioning for the high-frequency Helmholtz equation using absorption. In: Lahaye, D., Tang, J. and Vuik, K., eds. Modern Solvers for Helmholtz Problems. Basel, Germany: Birkhäuser Basel. (Geosystems Mathematics)
Spence, E., 2015. Overview of Variational Formulations for Linear Elliptic PDEs. In: Pelloni, B. and Fokas, A., eds. Unified Transform for Boundary Value Problems: Applications and Advances. SIAM, pp. 93-160.
Baskin, D., Spence, E. A. and Wunsch, J., 2016. Sharp high-frequency estimates for the Helmholtz equation and applications to boundary integral equations. SIAM Journal on Mathematical Analysis (SIMA), 48 (1), pp. 229-267.
Gander, M. J., Graham, I. G. and Spence, E. A., 2015. Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning:what is the largest shift for which wavenumber-independent convergence is guaranteed? Numerische Mathematik, 131 (3), pp. 567-614.
Spence, E. A., Kamotski, I. V. and Smyshlyaev, V. P., 2015. Coercivity of combined boundary integral equations in high-frequency scattering. Communications on Pure and Applied Mathematics, 68 (9), pp. 1587-1639.
Spence, E. A., 2015. Bounding acoustic layer potentials via oscillatory integral techniques. BIT Numerical Mathematics, 55 (1), pp. 279-318.
Graham, I. G., Löhndorf, M., Melenk, J. M. and Spence, E. A., 2015. When is the error in the h-BEM for solving the Helmholtz equation bounded independently of k ? BIT Numerical Mathematics, 55 (1), pp. 171-214.
Betcke, T., Phillips, J. and Spence, E. A., 2014. Spectral decompositions and nonnormality of boundary integral operators in acoustic scattering. IMA Journal of Numerical Analysis, 34 (2), pp. 700-731.
Moiola, A. and Spence, E.A., 2014. Is the helmholtz equation really sign-indefinite? Siam Review, 56 (2), pp. 274-312.
Spence, E. A., 2014. Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering. SIAM Journal on Mathematical Analysis (SIMA), 46 (4), pp. 2987-3024.
Graham, I., Spence, E., Chandler-Wilde, S. and Langdon, S., 2012. Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering. Acta Numerica, 21, pp. 89-305.
Fokas, A.S. and Spence, E.A., 2012. Synthesis, as Opposed to Separation, of Variables. Siam Review, 54 (2), pp. 291-324.
Spence, E. A., Chandler-Wilde, S. N., Graham, I. G. and Smyshlyaev, V. P., 2011. A new frequency-uniform coercive boundary integral equation for acoustic scattering. Communications on Pure and Applied Mathematics, 64 (10), pp. 1384-1415.
Betcke, T. and Spence, E. A., 2011. Numerical estimation of coercivity constants for boundary integral operators in acoustic scattering. SIAM Journal on Numerical Analysis (SINUM), 49 (4), pp. 1572-1601.
Spence, E. A. and Fokas, A. S., 2010. A new transform method I: domain-dependent fundamental solutions and integral representations. Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences, 466 (2120), pp. 2259-2281.
Spence, E. A. and Fokas, A. S., 2010. A new transform method II: the global relation and boundary-value problems in polar coordinates. Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences, 466 (2120), pp. 2283-2307.
Smitheman, S. A., Spence, E. A. and Fokas, A. S., 2010. A spectral collocation method for the Laplace and modified Helmholtz equations in a convex polygon. IMA Journal of Numerical Analysis, 30 (4), pp. 1184-1205.