Needham, DJ. and Langdon, S. (2024) 'A mathematical model for wind-generated particle-fluid flow fields with an application to the helicopter cloud problem'. Journal of Fluid Mechanics, 0 (accepted, in press). ISSN: 0022-1120 Open Access Link

Gibbs, A. and Langdon, S. (2024) 'An Efficient Frequency-Independent Numerical Method for Computing the Far-Field Pattern Induced by Polygonal Obstacles'. SIAM Journal on Scientific Computing, 46 (4). pp. A2324 - A2350. ISSN: 1064-8275 Open Access Link

Phillips, O., Chandler-Wilde, S. and Langdon, S. (2023) 'Towards high frequency boundary element methods for multiple scattering'.51st International Congress and Exposition on Noise Control Engineering (INTER-NOISE 2022). Glasgow. 1 - 24 August. Institute of Noise Control Engineering (INCE). pp. 5319 - 5325. ISSN: 0736-2935 Open Access Link

Gibbs, A., Chandler-Wilde, S., Langdon, S. and Moiola, A. (2020) 'A high frequency boundary element method for scattering by a class of multiple obstacles'. IMA Journal of Numerical Analysis, 41 (2). pp. 1197 - 1239. ISSN: 0272-4979 Open Access Link

Groth, SP., Hewett, DP. and Langdon, S. (2017) 'A hybrid numerical–asymptotic boundary element method for high frequency scattering by penetrable convex polygons'. Wave Motion, 78. pp. 32 - 53. ISSN: 0165-2125 Open Access Link

Hargreaves, JA., Lam, YW. and Langdon, S. (2016) 'A transformation approach for efficient evaluation of oscillatory surface integrals arising in three-dimensional boundary element methods'. International Journal for Numerical Methods in Engineering, 108 (2). pp. 93 - 115. ISSN: 0029-5981 Open Access Link

Chandler-Wilde, S. and Langdon, S. (2015) 'Acoustic scattering : high frequency boundary element methods and unified transform methods', in Fokas, A. and Pelloni, B. (eds.) Unified transform for boundary value problems : applications and advances. Philadelphia : Society for Industrial and Applied Mathematics. pp. 93 - 159. ISBN 10: 1-61197-382-1. ISBN 13: 978-1-61197-381-5. Open Access Link

Lee, TE., Baines, MJ. and Langdon, S. (2015) 'A finite difference moving mesh method based on conservation for moving boundary problems'. Journal of Computational and Applied Mathematics, 288 (November 2015). pp. 1 - 17. ISSN: 0377-0427 Open Access Link

Hargreaves, JA., Lam, YW., Langdon, S. and Hewett, DP. (2015) 'A high-frequency BEM for 3D acoustic scattering'. 22nd International Congress on Sound and Vibration, ICSV 2015.

Hewett, DP., Langdon, S. and Chandler-Wilde, SN. (2014) 'A frequency-independent boundary element method for scattering by two-dimensional screens and apertures'. IMA Journal of Numerical Analysis, 35 (4). pp. 1698 - 1728. ISSN: 0272-4979 Open Access Link

Chandler-Wilde, SN., Hewett, DP., Langdon, S. and Twigger, A. (2014) 'A high frequency boundary element method for scattering by a class of nonconvex obstacles'. Numerische Mathematik, 129 (4). pp. 647 - 689. ISSN: 0029-599X Open Access Link

Groth, SP., Hewett, DP. and Langdon, S. (2013) 'Hybrid numerical-Asymptotic approximation for high-frequency scattering by penetrable convex polygons'. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), 80 (2). pp. 324 - 353. ISSN: 0272-4960

Lee, TE., Baines, MJ., Langdon, S. and Tindall, MJ. (2013) 'A moving mesh approach for modelling avascular tumour growth'. Applied Numerical Mathematics, 72. pp. 99 - 114. ISSN: 0168-9274

Hewett, DP., Langdon, S. and Melenk, JM. (2013) 'A high frequency hp boundary element method for scattering by convex polygons'. SIAM Journal on Numerical Analysis, 51 (1). pp. 629 - 653. ISSN: 0036-1429

Needham, DJ., Langdon, S., Samson, BA. and Gilchrist, JP. (2013) 'The unsteady flow of a weakly compressible fluid in a thin porous layer II: Three-dimensional theory'. Quarterly Journal of Mechanics and Applied Mathematics, 66 (1). pp. 97 - 122. ISSN: 0033-5614

Langdon, S., Needham, DJ., Samson, BA. and Gilchrist, JP. (2013) 'The unsteady flow of a weakly compressible fluid in a thin porous layer III: Three-dimensional computations'. Quarterly Journal of Mechanics and Applied Mathematics, 66 (1). pp. 123 - 155. ISSN: 0033-5614

Chandler-Wilde, SN., Graham, IG., Langdon, S. and Spence, EA. (2012) 'Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering'. Acta Numerica, 21. pp. 89 - 305. ISSN: 0962-4929

Chandler-Wilde, SN., Langdon, S. and Mokgolele, M. (2012) 'A high frequency boundary element method for scattering by convex polygons with impedance boundary conditions'. Communications in Computational Physics, 11 (2). pp. 573 - 593. ISSN: 1815-2406

Betcke, T., Chandler-Wilde, SN., Graham, IG., Langdon, S. and Lindner, M. (2011) 'Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation'. Numerical Methods for Partial Differential Equations, 27 (1). pp. 31 - 69. ISSN: 0749-159X

Langdon, S., Mokgolele, M. and Chandler-Wilde, SN. (2010) 'High frequency scattering by convex curvilinear polygons'. Journal of Computational and Applied Mathematics, 234 (6). pp. 2020 - 2026. ISSN: 0377-0427

Chandler-Wilde, SN., Graham, IG., Langdon, S. and Lindner, M. (2009) 'Condition number estimates for combined potential boundary integral operators in acoustic scattering'. Journal of Integral Equations and Applications, 21 (2). pp. 229 - 279. ISSN: 0897-3962

Needham, DJ., Langdon, S., Busswell, GS. and Gilchrist, JP. (2009) 'The Unsteady Flow of a Weakly Compressible Fluid in a Thin Porous Layer I: Two-Dimensional Theory'. SIAM Journal on Applied Mathematics, 69 (4). pp. 1084 - 1109. ISSN: 0036-1399 Open Access Link

Chandler-Wilde, SN., Langdon, S. and Mokgolele, M. (2008) 'Numerical methods for high frequency acoustic scattering problems'. Proceedings of the Institute of Acoustics. pp. 121 - 123. ISSN: 1478-6095

Chandler-Wilde, SN. and Langdon, S. (2007) 'A Galerkin boundary element method for high frequency scattering by convex polygons'. SIAM Journal on Numerical Analysis, 45 (2). pp. 610 - 640. ISSN: 0036-1429

Blowey, JF., King, JR. and Langdon, S. (2007) 'Small- and waiting-time behavior of the thin-film equation'. SIAM Journal on Applied Mathematics, 67 (6). pp. 1776 - 1807. ISSN: 0036-1399

Arden, S., Chandler-Wilde, SN. and Langdon, S. (2007) 'A collocation method for high-frequency scattering by convex polygons'. Journal of Computational and Applied Mathematics, 204 (2 SPEC. ISS.). pp. 334 - 343. ISSN: 0377-0427

Ganesh, M., Langdon, S. and Sloan, IH. (2007) 'Efficient evaluation of highly oscillatory acoustic scattering surface integrals'. Journal of Computational and Applied Mathematics, 204 (2 SPEC. ISS.). pp. 363 - 374. ISSN: 0377-0427

Langdon, S. and Chandler-Wilde, SN. (2006) 'A wavenumber independent boundary element method for an acoustic scattering problem'. SIAM Journal on Numerical Analysis, 43 (6). pp. 2450 - 2477. ISSN: 0036-1429

Chandler-Wilde, SN., Langdon, S. and Ritter, L. (2004) 'A high-wavenumber boundary-element method for an acoustic scattering problem'. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 362 (1816). pp. 647 - 671. ISSN: 1364-503X

Barrett, JW., Langdon, S. and Nürnberg, R. (2004) 'Finite element approximation of a sixth order nonlinear degenerate parabolic equation'. Numerische Mathematik, 96 (3). pp. 401 - 434. ISSN: 0029-599X

Chandler-Wildel, S., Langdon, S. and Ritter, L. (2003) 'A Galerkin boundary element method for a high frequency scattering problem'.6th International Conference on Mathematical and Numerical Aspects of Wave Propagation (WAVES 2003). JYVASKYLA, FINLAND. 1 - 4 July. SPRINGER-VERLAG BERLIN. pp. 257 - 262.

Langdon, S. and Graham, IG. (2001) 'Boundary integral methods for singularly perturbed boundary value problems'. IMA Journal of Numerical Analysis, 21 (1). pp. 217 - 237. ISSN: 0272-4979