LINTON, C. M. (2010) Lattice sums for the Helmholtz equation. SIAM Review, 52(4), 630--674. Full text

LINTON, C. M. (2010) Towards a three-dimensional model of wave-ice interaction in the marginal ice zone. Journal of Fluid Mechanics, 662, 1-4.

THOMPSON, I., & LINTON, C. M. (2010) Guided surface waves on one- and two-dimensional arrays of spheres. SIAM Journal on Applied Mathematics, 70, 2975-2995.

THOMPSON, I., & LINTON, C. M. (2010) Euler-Maclaurin summation and Schlomilch series. Quarterly Journal of Mechanics and Applied Mathematics, 63(1), 39-56.

LINTON, C. M. (2009) Accurate solution to scattering by a semi-circular groove. Wave Motion, 46, 200-209.

LINTON, C. M. & THOMPSON, I. (2009) One- and two-dimensional lattice sums for the three-dimensional Helmholtz equation. Journal of Computational Physics 228(6), 1815-1829.

THOMPSON, I., & LINTON, C. M. (2008) An interaction theory for scattering by defects in arrays. SIAM Journal on Applied Mathematics, 86(6), 1783-1806.

THOMPSON, I., LINTON, C. M. & PORTER, R. (2008) A new approximation method for scattering by long finite arrays. Quarterly Journal of Mechanics and Applied Mathematics, 61, 333-352.

LINTON, C. M. & McIVER, P. (2007) Embedded trapped modes in water waves and acoustics. Wave Motion, 45, 16-29.

THOMPSON, I. & LINTON, C. M. (2007) On the excitation of a closely spaced array by a line source. IMA Journal of Applied Mathematics, 72, 476-497.

LINTON, C. M., PORTER, R. & THOMPSON, I. (2007) Scattering by a semi-infinite periodic array and the excitation of surface waves. SIAM Journal on Applied Mathematics, 67, 1233-1258.

DUAN, Y., KOCH, W., LINTON, C. M. & McIVER, M. (2007) Complex resonances and trapped modes in ducted domains. Journal of Fluid Mechanics, 571, 119-147.

LINTON, C. M. & THOMPSON, I. (2007) Resonant effects in scattering by periodic arrays. Wave Motion, 44, 167-175.

LINTON, C. M. & MARTIN, P. A. (2006) Multiple scattering by multiple spheres: A new proof of the Lloyd-Berry formula for the effective wavenumber. SIAM Journal on Applied Mathematics, 66, 1649-1668.

LINTON, C. M. (2006) Schlomilch series that arise in diffraction theory and their efficient computation. Journal of Physics A: Mathematical and General, 39, 3325-3339. Associated Technical Report.

UMNOVA, O., ATTENBOROUGH, K. & LINTON, C. M. (2006) Effects of porous covering on sound attenuation by periodic arrays of cylinders. Journal of the Acoustical Society of America, 119, 278-284.

PETER, M. A., MEYLAN, M. H. & LINTON, C. M. (2006) Water-wave scattering by a periodic array of arbitrary bodies. Journal of Fluid Mechanics, 548, 237-256.

BOULANGER, P., ATTENBOROUGH, K., QIN, Q. & LINTON, C. M. (2005) Reflection of sound from random distributions of semi-cylinders on a smooth hard surface: models and data. Journal of Physics D: Applied Physics, 38, 3480-3490.

LINTON, C. M. & MARTIN, P. A. (2005) Multiple scattering by random configurations of circular cylinders: second-order corrections for the effective wavenumber. Journal of the Acoustical Society of America, 117, 3413-3423.

CHUNG, HYUCK & LINTON, C.M. (2005) Reflection and transmission across a finite gap in an infinite elastic plate on water. Quarterly Journal of Mechanics and Applied Mathematics, 58, 1-15.

LINTON, C.M. & RATCLIFFE, K. (2004) Bound states in coupled guides. I. Two dimensions. Journal of Mathematical Physics, 45, 1359-1379.

LINTON, C.M. & RATCLIFFE, K. (2004) Bound states in coupled guides. II. Three dimensions. Journal of Mathematical Physics, 45, 1380-1393.

LINTON, C. M. & MARTIN, P. A. (2004) Semi-infinite arrays of isotropic point scatterers. A unified approach. SIAM Journal on Applied Mathematics, 64, 1035-1056.

LINTON, C.M. & BARNETT, D. C. (2004) Efficient computation of Schlomilch-type series. Proceedings of the Royal Society, A, 460, 1177-1191.

LINTON, C.M. & CHUNG, HYUCK (2003) Reflection and transmission at the ocean/sea-ice boundary. Wave Motion, 38, 43-52.

LINTON, C.M. & CADBY, J.R. (2003) Trapped modes in a two-layer fluid. Journal of Fluid Mechanics, 481, 215-234.

LINTON, C.M. & McIVER, M. (2002) Periodic structures in waveguides. Proceedings of the Royal Society, A, 458, 3003-3022.

LINTON, C.M. & McIVER, M. (2002) The existence of Rayleigh-Bloch surface waves. Journal of Fluid Mechanics, 470, 85-90.

McIVER, M, LINTON, C.M. & ZHANG, J. (2002) The branch structure of embedded trapped modes in two-dimensional waveguides. Quarterly Journal of Mechanics and Applied Mathematics, 55 (2), 313-326.

LINTON, C.M. & CADBY, J.R. (2002) Scattering of oblique waves in a two-layer fluid. Journal of Fluid Mechanics, 461, 343-364.

LINTON, C.M., McIVER, M., McIVER, P., RATCLIFFE, K. & ZHANG, J. (2002) Trapped modes for off-centre structures in guides. Wave Motion, 36 (1), 67-85.

LINTON, C.M. (2001) The finite dock problem. ZAMP, 52, 640-656.

McIVER, M., LINTON, C.M., McIVER, P., ZHANG, J. & PORTER, R. (2001) Embedded trapped modes for obstacles in two-dimensional waveguides. Quarterly Journal of Mechanics and Applied Mathematics, 54 (2), 273-293.

KUZNETSOV, N., McIVER, P. & LINTON, C.M. (2001) On uniqueness and trapped modes in the water-wave problem for vertical barriers. Wave Motion, 33, 283-307.

CADBY, J. R. & LINTON, C.M. (2000) Three-dimensional water-wave scattering in two-layer fluids. Journal of Fluid Mechanics, 423, 155-173.

LINTON, C.M. & McIVER, P. (2000) Green's functions for water waves in porous structures. Applied Ocean Research, 22, 1-12.

LINTON, C.M. (1999) Rapidly convergent representations for Green's functions for Laplace's equation. Proceedings of the Royal Society, A, 455, 1767-1797.

LINTON, C.M. (1999) A new representation for the free-surface channel Green's function. Applied Ocean Research, 21, 17-25.

McIVER, P., LINTON, C.M. & McIVER, M. (1998) Construction of trapped modes for wave guides and diffraction gratings. Proceedings of the Royal Society, A, 454, 2593-2616.

LINTON, C.M. & McIVER, P. (1998) Acoustic resonances in the presence of radial fins in circular cylindrical waveguides. Wave Motion, 28 (2), 99-117.

LINTON, C.M. & McIVER, M. (1998) Trapped modes in cylindrical waveguides. Quarterly Journal of Mechanics and Applied Mathematics, 51 (3), 389-412.

LINTON, C.M. (1998) The Green's function for the two-dimensional Helmholtz equation in periodic domains. Journal of Engineering Mathematics, 33, 377-402.

LINTON, C.M. & KUZNETSOV, N.G. (1997) Non-uniqueness in two-dimensional water wave problems: numerical evidence and geometrical restrictions. Proceedings of the Royal Society, A, 453, 2437-2460.

LINTON, C.M. & McIVER, P. (1996) The scattering of water waves by an array of circular cylinders in a channel. Journal of Engineering Mathematics, 30, 661-682.

LINTON, C.M. & McIVER, M. (1995) The interaction of waves with horizontal cylinders in two-layer fluids. Journal of Fluid Mechanics, 304, 213-229.

McIVER, M. & LINTON, C.M. (1995) On the non-existence of trapped modes in acoustic waveguides. Quarterly Journal of Mechanics and Applied Mathematics, 48, (4), 543-555.

LINTON, C.M. (1995) Multipole methods for boundary-value problems involving a sphere in a tube. IMA Journal of Applied Mathematics, 55, 187-204.

LINTON, C.M. (1995) Acoustic scattering by a sphere in a circular cylindrical waveguide. Quarterly Journal of Mechanics and Applied Mathematics, 48, (2), 211-235.

McIVER, P. & LINTON, C.M. (1994) Mean drift forces on arrays of axisymmetric structures in a wave tank. Applied Ocean Research, 16 (6), 327-335.

EVANS, D.V. & LINTON, C.M. (1994) On step approximations for water wave problems. Journal of Fluid Mechanics, 278, 229-249.

EVANS, D.V. & LINTON, C.M. (1994) Acoustic resonance in ducts. Journal of Sound and Vibration, 173 (1), 85-94.

LINTON, C.M. (1993) On the free surface Green's function for channel problems. Applied Ocean Research, 15, 263-267.

LAWRIE, J.B., ABRAHAMS, I.D. & LINTON, C.M. (1993) Acoustic radiation from two opposed semi-infinite co-axial cylindrical waveguides. I: overlapping edges. Wave Motion, 18, 121-142.

LINTON, C.M. & EVANS, D.V. (1993) Acoustic scattering by an array of parallel plates. Wave Motion, 18, 51-65.

EVANS, D.V. & LINTON, C.M. (1993) Edge waves along periodic coastlines. Quarterly Journal of Mechanics and Applied Mathematics, 46 (4), 642-656.

LINTON, C.M. & EVANS, D.V. (1993) Hydrodynamic characteristics of bodies in channels. Journal of Fluid Mechanics, 252, 647-666.

EVANS, D.V., LINTON, C.M. & URSELL, F. (1993) Trapped mode frequencies embedded in the continuous spectrum. Quarterly Journal of Mechanics and Applied Mathematics, 46 (2), 253-274.

LINTON, C.M. & EVANS, D.V. (1993) The interaction of waves with a row of circular cylinders. Journal of Fluid Mechanics, 251, 687-708.

EVANS, D.V. & LINTON, C.M. (1993) Sloshing frequencies. Quarterly Journal of Mechanics and Applied Mathematics, 46 (1), 71-87.

LINTON, C.M. & EVANS, D.V. (1992) Integral equations for a class of problems concerning obstacles in waveguides. Journal of Fluid Mechanics, 245, 349-365.

LINTON, C.M. & EVANS, D.V. (1992) The radiation and scattering of surface waves by a vertical circular cylinder in a channel. Philosophical Transactions of the Royal Society, London A, 338, 325-357.

LINTON, C.M. & EVANS, D.V. (1991) Trapped modes above a submerged horizontal plate. Quarterly Journal of Mechanics and Applied Mathematics, 44 (3), 487-506.

CALLAN, M.A., LINTON, C.M. & EVANS, D.V. (1991) Trapped modes in two-dimensional waveguides. Journal of Fluid Mechanics, 229, 51-64.

EVANS, D.V. & LINTON, C.M. (1991) Submerged floating breakwaters. ASME Journal of Offshore Mechanics and Arctic Engineering, 113 (3), 205-210.

LINTON, C.M. (1991) Radiation and diffraction of water waves by a submerged sphere in finite depth. Ocean Engineering, 18 (1/2), 61-74.

McIVER, P. & LINTON, C.M. (1991) The added mass of bodies heaving at low frequencies in water of finite depth. Applied Ocean Research, 13 (1), 12-17.

EVANS, D.V. & LINTON, C.M. (1991) Trapped modes in open channels. Journal of Fluid Mechanics, 225, 153-175.

LINTON, C.M. & EVANS, D.V. (1990) The interaction of waves with arrays of vertical circular cylinders. Journal of Fluid Mechanics, 215, 549-569.