# Items by Spence, Euan

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**9**.

## Articles

Moiola, A. and Spence, E.A., 2014. Is the helmholtz equation really sign-indefinite? *Siam Review*, 56 (2), pp. 274-312.

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.

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.