Simon N. Chandler-Wilde Professor of Applied Mathematics in Department of Mathematics and Statistics and Dean for Diversity and Inclusion (joint with Prof Ellie Highwood) Mathematics Building University of Reading Whiteknights, PO Box 220 Reading, RG6 6AX, United Kingdom Email: S.N.Chandler-Wilde@reading.ac.uk Phone: +44 (0)118 378 6017 Twitter: @SimonCW59 Me on: Centaur, our institutional repository, arXiv, Google Scholar, Researchgate My: Recent Research Publications

Table of contents Research Interests Current and Recent Research Grants Recent Research Preprints Recent Research Publications Professional Affiliations Bio data

Some Links Introductory lecture notes on FEM and BEM for acoustics problems University of Reading Library Science Citation Index Mathscinet UK Train Timetable German Train Timetable

Presentation to the University's Diversity and Inclusion Advisory Board, June 2017 ...

• Click here for a copy

Plenary talk at Waves 2017 on Scattering by Fractals, May 2017 ...

• Click here for a copy

Talk on Integral Equations for Wave Scattering at "Recent Advances in the Numerical Analysis of PDEs: Celebrating the 65th birthday of Prof Ivan Graham", June 2017 ...

• Click here for a copy

Newish (2015) review paper ...

• Acoustic scattering: high frequency boundary element methods and unified transform methods.
  S N Chandler-Wilde & S Langdon, in Unified Transform for Boundary Value Problems: Applications and Advances, A S Fokas & B Pelloni (editors), SIAM, 2015.

Research Interests

• Theoretical and computational aspects of direct and inverse acoustic and electromagnetic scattering, especially rough surface scattering, scattering by fractals, and high frequency analysis and numerical methods.
• Integral equations and their numerical treatment
• Boundary integral equation methods
• Spectral theory and random matrices and operators
• Outdoor sound propagation and noise control

Current Teaching

For course information, lecture notes, problem sheets, etc, go to Blackboard.


• MA4XJ Integral Equations.

Current and Recent Research Grants

• Discretisations of sign-definite formulations for the Helmholtz equation. EPSRC, 2016-2018. With Andrea Moiola (Reading/Pavia).
• EPSRC Centre for Doctoral Training in the Mathematics of Planet Earth at Imperial College London and the University of Reading. EPSRC, 2014-2022. With Dan Crisan, Colin Cotter, Axel Gandy, David Ham, Darryl Holm (Imperial College) & Beatrice Pelloni, Jochen Broecker, Sebastian Reich, Ted Shepherd, Hilary Weller (Reading).
• Advanced numerical techniques for characterising obstructions in sewer pipes. EPSRC, 2010-2013. With Kirill Horoshenkov (Bradford) & Ray Kirby (Brunel).
• New generation finite element methods for seismic forward modelling. NERC and Schlumberger Cambridge Research, 2010-2013. With Steve Langdon & Timo Betcke (Reading).
• Boundary integral equation methods for high frequency scattering problems. EPSRC, 2009-2012. With Steve Langdon (Reading), Ivan Graham & Valery Smyshlyaev (Bath).
• Scattering by unbounded surfaces. Leverhulme Trust, 2006-2007.
• Wave scattering in unbounded domains: operator algebra and limit operator techniques. EU, 2005-2007. With Marko Lindner (Chemnitz).
• Finite element methods for scattering by rough surfaces. EPSRC, 2003-2005. With Peter Monk (Delaware)
• Developments in boundary element methods for acoustics and electromagnetics. EPSRC, 2004-2005. With Sia Amini (Salford), Ke Chen (Liverpool), Penny Davies (Strathclyde), & Ivan Graham (Bath).
• Singular integral equations on infinite domains with application to scattering by unbounded Lipschitz surfaces. EPSRC Mathematics Programme, 2001-2002. With Bo Zhang (Coventry).
• Royal Society funding for support of visit of Professor David Natroshvili, Georgian Technical University, Tbilisi, 2000-2001.
• Innovative boundary element techniques in computational acoustics and electromagnetics. EPSRC Computational Partial Differential Equations Initiative, 2000-2001. With Ke Chen (Liverpool), Penny Davies (Strathclyde), Ivan Graham (Bath), & Mireille Levy (RAL).
• Integral equation methods for direct and inverse scattering by unbounded surfaces. EPSRC Computational Partial Differential Equations Initiative, 1999-2003. Final Report on the Grant for EPSRC.
• The scattering of elastic waves by one-dimensional rough surfaces. EU Training and Mobility of Researchers (support of Tilo Arens), 1998-2000.
• Boundary element methods in outdoor sound propagation. Transport Research Laboratory, 1997-2001.
• Simulation of the performance of louvred barriers. Transport Research Laboratory, 1998.
• Direct and inverse scattering by rough surfaces. British Council, 1997-2000. With A Kirsch (Mathematisches Institut II, Universität Karlsruhe).
• Acoustic performance of noise barriers. EPSRC, 1996-99. With D C Hothersall & K V Horoshenkov (Bradford University).
• Boundary element simulation of traffic noise propagation from shallow cuttings. Transport Research Laboratory, 1995-96.
• Integral equations on the real line with application to diffraction grating and related problems. EPSRC, 1994-1997. With A D Rawlins & D C Hothersall (Bradford University).
• Control of road traffic noise. EPSRC, 1992-96. With D C Hothersall (Bradford University) & K Attenborough (Open University).
• Direct and inverse problems in the theory of diffraction gratings. British Council, 1994-97.

Recent Research Preprints

• High-frequency bounds for the Helmholtz equation under parabolic trapping and applications in numerical analysis.
  S N Chandler-Wilde, E A Spence, A Gibbs & V P Smyshlyaev, submitted to Communications on PDEs.
• Well-posed PDE and integral equation formulations for scattering by fractal screens.
  S N Chandler-Wilde & D P Hewett, to appear in SIAM Journal on Mathematical Analysis.

Recent Research Publications

• BVP and BIE formulations for scattering by fractal screens.
  S N Chandler-Wilde & D P Hewett, in Proceedings of Waves 2017, Minneapolis, May 2017, pp. 85-90.
• On symmetries of the Feinberg-Zee random hopping matrix.
  S N Chandler-Wilde & R Hagger, 2017 in Operator Theory: Advances and Applications. Vol. 258, 51–78. Recent Trends in Operator Theory and Partial Differential Equations: the Roland Duduchava Anniversary Volume.
  V. Maz’ya, D. Natroshvili, E. Shargorodsky and W.L. Wendland, editors.
• Sobolev spaces on non-Lipschitz subsets of Rⁿ with application to boundary integral equations on fractal screens.
  S N Chandler-Wilde, D P Hewett & A Moiola 2017 Integral Equations and Operator Theory, 87, 179-224. doi:10.1007/s00020-017-2342-5.
• Coburn's lemma and the finite section method for random Jacobi operators.
  S N Chandler-Wilde & M Lindner 2016 Journal of Functional Analysis, 270, 802-841.
• A frequency-independent boundary element method for scattering by two-dimensional screens and apertures.
  D P Hewett, S Langdon, & S N Chandler-Wilde 2015 IMA Journal of Numerical Analysis, 35, 1698-1728.
• Wavenumber-explicit continuity and coercivity estimates in acoustic scattering by planar screens.
  S N Chandler-Wilde & D P Hewett 2015 Integral Equations and Operator Theory, 82, 423-449.
• A high frequency boundary element method for scattering by a class of nonconvex obstacles.
  S N Chandler-Wilde, D P Hewett, S Langdon, & A Twigger 2015 Numerische Mathematik 129, 647-689.
• Acoustic scattering: high frequency boundary element methods and unified transform methods.
  S N Chandler-Wilde & S Langdon, in Unified Transform for Boundary Value Problems: Applications and Advances, A S Fokas & B Pelloni (editors), SIAM, 2015.
• Interpolation of Hilbert and Sobolev spaces: quantitative estimates and counterexamples.
  S N Chandler-Wilde, D P Hewett, & A Moiola 2015 Mathematika, 61, 414- 443.
• Computing Fresnel integrals with modified trapezium rules.
  M Alazah, S N Chandler-Wilde, & S La Porte 2014 Numerische Mathematik, 128, 635–661.
• On the spectra and pseudospectra of a class of non-self-adjoint random matrices and operators.
  S N Chandler-Wilde, R Chonchaiya, & M Lindner 2013 Operators and Matrices, 7, 739-775.
• Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering.
  S N Chandler-Wilde, I G Graham, S Langdon, & E A Spence 2012 Acta Numerica, 21, 89-305.
• Spectrum of a Feinberg-Zee random hopping matrix.
  S N Chandler-Wilde & E B Davies 2012 Journal of Spectral Theory, 2, 147–179.
• A high frequency boundary element method for scattering by convex polygons with impedance boundary conditions.
  S N Chandler-Wilde, S Langdon & M Mokgolele 2012 Communications in Computational Physics, 11, 573-593.
• A new frequency-uniform coercive boundary tntegral equation for acoustic scattering.
  E Spence, S N Chandler-Wilde, I G Graham, & V P Smyshlyaev 2011 Communications on Pure and Applied Mathematics, 64, 1384-1415.
• Eigenvalue problem meets Sierpinski triangle: Computing the spectrum of a non-selfadjoint random operator.
  S N Chandler-Wilde, R Chonchaiya, & M Lindner 2011 Operators and Matrices, 5, 633-648.
• Limit operators, collective compactness, and the spectral theory of infinite matrices.
  S N Chandler-Wilde & M Lindner 2011 Memoirs of the American Mathematical Society, Vol. 210, no. 989, viii+111 pp. ISBN: 978-0-8218-5243-9.
• Condition number estimates for combined potential operators in acoustics and their boundary element discretisation.
  T Betcke, S N Chandler-Wilde, I G Graham, S Langdon, & M Lindner 2011 Numerical Methods for Partial Differential Equations, 27, 31-69.
• A Nyström Method for a Boundary Value Problem arising in Unsteady Water Wave.
  M D Preston, P G Chamberlain & S N Chandler-Wilde 2011 IMA Journal of Numerical Analysis , 31, 1123-1153.
• Variational approach in weighted Sobolev spaces to scattering by unbounded rough surfaces.
  S N Chandler-Wilde & J Elschner 2010 SIAM Journal on Mathematical Analysis 42, 2554-2580.
• High frequency scattering by convex curvilinear polygons.
  S Langdon, M Mokgolele & S N Chandler-Wilde 2010 Journal of Computational and Applied Mathematics, 234, 2020-2026.
• Boundary integral methods in high frequency scattering.
  S N Chandler-Wilde & I G Graham 2009 in Highly Oscillatory Problems, B Engquist, T Fokas, E Hairer, A Iserles, editors, Cambridge University Press, pp. 154-193.
• The PML for rough surface scattering.
  S N Chandler-Wilde & P Monk 2009 Applied Numerical Mathematics 59, 2131-2154.
• Condition number estimates for combined potential boundary integral operators in acoustic scattering.
  S N Chandler-Wilde, I G Graham, S Langdon & M Lindner 2009 Journal of Integral Equations and Applications 21, 229-279.
• Existence and uniqueness of solutions for acoustic scattering over infinite obstacles.
  A Peplow & S N Chandler-Wilde 2008 Journal of Mathematical Analysis and Applications 345, 305-321.
• Sufficiency of Favard's condition for a class of band-dominated operators on the axis.
  S N Chandler-Wilde & M Lindner 2008 Journal of Functional Analysis 254, 1146-1159.
• An integral equation method for a boundary value problem arising in unsteady water wave problems.
  M D Preston, P G Chamberlain & S N Chandler-Wilde 2008 Journal of Integral Equations and Applications 20, 121-152.
• Boundary integral equations on unbounded rough surfaces: Fredholmness and the finite section method.
  S N Chandler-Wilde & M Lindner 2008 Journal of Integral Equations and Applications 20, 13-48.
• Wave-number-explicit bounds in time-harmonic scattering.
  S N Chandler-Wilde & P Monk 2008 SIAM Journal on Mathematical Analysis 39, 1428-1455.
• A Galerkin boundary element method for high frequency scattering by convex polygons.
  S N Chandler-Wilde & S Langdon 2007 SIAM Journal on Numerical Analysis 43, 610-640.
• The mathematics of scattering by unbounded, rough, inhomogeneous layers.
  S N Chandler-Wilde, P Monk & M Thomas 2007 Journal of Computational and Applied Mathematics 204, 549-559.
• A collocation method for high frequency scattering by convex polygons.
  S Arden, S N Chandler-Wilde & S Langdon 2007 Journal of Computational and Applied Mathematics 204, 334-343.
• A well-posed integral equation formulation for 3D rough surface scattering.
  S N Chandler-Wilde, E Heinemeyer & R Potthast 2006 Proceedings of the Royal Society of London, Series A 462, 3683–3705. DOI:10.1098/rspa.2006.1752
• On integral equation and least squares methods for scattering by diffraction gratings.
  T Arens, S N Chandler-Wilde & J A DeSanto 2006 Communications in Computational Physics 1, 1010-1042.
• A wavenumber independent boundary element method for an acoustic scattering problem.
  S Langdon & S N Chandler-Wilde 2006 SIAM Journal on Numerical Analysis 43, 2450-2477.
• Acoustic scattering by mildly rough unbounded surfaces in three dimensions.
  S N Chandler-Wilde, E Heinemeyer & R Potthast 2006 SIAM Journal on Applied Mathematics 66, 1002-1026.
• Existence, uniqueness and variational methods for scattering by unbounded rough surfaces.
  S N Chandler-Wilde & P Monk 2005 SIAM Journal on Mathematical Analysis 37, 598-618.
• A time domain point source method for inverse scattering by rough surfaces.
  C D Lines & S N Chandler-Wilde 2005 Computing 75, 157-180.
• Solvability and Fredholm properties of integral equations on the half-line in weighted spaces.
  S N Chandler-Wilde & K O Haseloh 2005 Integral Equations and Operator Theory 51, 5-34.
• A boundary integral equation formulation for the Helmholtz equation in a locally perturbed half-plane.
  S N Chandler-Wilde & A T Peplow 2005 Zeitschrift für Angewandte Mathematik und Mechanik 85, 79-88.
• A high-wavenumber boundary-element method for an acoustic scattering problem.
  S N Chandler-Wilde, S Langdon, & L Ritter 2004 Philosophical Transactions of the Royal Society, Series A 362, 647-671.
• Solvability and spectral properties of integral equations on the real line: II. L^p spaces and applications.
  T Arens, S N Chandler-Wilde, & K O Haseloh 2003 Journal of Integral Equations and Applications 15, 1-35.
• The Dirichlet metaharmonic Green's function for unbounded regions.
  D Natroshvili & S N Chandler-Wilde 2003 Memoirs on Differential Equations and Mathematical Physics 30, 51-103.
• Uniqueness, existence, and integral equation formulations for interface scattering problems.
  D Natroshvili, T Arens, & S N Chandler-Wilde 2003 Memoirs on Differential Equations and Mathematical Physics 30, 105-146.
• Integral equation methods for scattering by infinite rough surfaces.
  B Zhang & S N Chandler-Wilde 2003 Mathematical Methods in the Applied Sciences 26, 463-488.
• The domain derivative in rough surface scattering and rigorous estimates for first order perturbation theory.
  S N Chandler-Wilde & R Potthast 2002 Proceedings of the Royal Society of London, Series A 458, 2967-3001.
• Solvability and spectral properties of integral equations on the real line: I. weighted spaces of continuous functions.
  T Arens, S N Chandler-Wilde, & K O Haseloh 2002 Journal of Mathematical Analysis and Applications 272, 276-302.
• A generalised collectively compact operator theory with an application to second kind integral equations on unbounded domains.
  S N Chandler-Wilde & B Zhang 2002 Journal of Integral Equations and Applications 14, 11-52.
• Efficient calculation of two-dimensional periodic and waveguide acoustic Green's functions.
  K V Horoshenkov & S N Chandler-Wilde 2002 Journal of the Acoustical Society of America 111, 1610-1622.
• A fast two-grid and finite section method for a class of integral equations on the real line with application to an acoustic scattering problem in the half-plane.
  S N Chandler-Wilde, M Rahman, &, C R Ross 2002 Numerische Mathematik 93, 1-51.
• An integral equation method for inverse scattering by rough surfaces.
  C D Lines & S N Chandler-Wilde 2001 in Proceedings of the Third UK Conference on Boundary Integral Methods, University of Brighton, Brighton, September 2001, pp. 258-267. University of Brighton Press. P.J. Harris (ed.)
• On the stability and convergence of the finite section method for integral equation formulations of rough surface scattering.
  A Meier & S N Chandler-Wilde 2001 Mathematical Methods in the Applied Sciences 24, 209-232.
• A Nyström method for a class of integral equations on the real line with applications to scattering by diffraction gratings and rough surfaces.
  A Meier, T Arens, S N Chandler-Wilde, & A Kirsch 2000 Journal of Integral Equations and Applications 12, 281-321.
• Integral equation methods for scattering by one-dimensional rough surfaces.
  T Arens, S N Chandler-Wilde, & A Meier 2000 in Proceedings of the 5th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Santiago de Compostela, Spain, July 2000, pp. 3-13. SIAM. A Bermúdez, D Gómez, C Hazard, P Joly, J E Roberts (eds.) (Invited plenary paper.)
• Numerical conformal mapping and mesh generation for polygonal and multiply-connected regions.
  B Lin & S N Chandler-Wilde 2000 Journal of Hydroinformatics 2, 255-267.
• On the solvability of second kind integral equations on the real line.
  S N Chandler-Wilde, B Zhang, & C R Ross 2000 Journal of Mathematical Analysis and Applications 245, 28-51.
• Proceedings of the Second UK Conference on Boundary Integral Methods,
  L C Wrobel & S N Chandler-Wilde, editors, 1999. Uxbridge: Brunel University Press.
• Scattering by infinite one-dimensional rough surfaces.
  S N Chandler-Wilde, C R Ross, & B Zhang 1999 Proceedings of the Royal Society of London, Series A 455, 3767-3787.
• Noise propagation from a cutting of arbitrary cross-section and impedance.
  A T Peplow & S N Chandler-Wilde 1999 Journal of Sound and Vibration 223, 355-378.
• The combined effects of porous asphalt surfacing and barriers on traffic noise.
  G R Watts, S N Chandler-Wilde, & P A Morgan 1999 Applied Acoustics 58, 351-377.
• Scattering of electromagnetic waves by rough interfaces and inhomogeneous layers.
  S N Chandler-Wilde & B Zhang 1999 SIAM Journal on Mathematical Analysis 30, 559-583.
• A uniqueness result for scattering by infinite rough surfaces.
  S N Chandler-Wilde & B Zhang 1998 SIAM Journal on Applied Mathematics 58, 1774-1790.
• Acoustic scattering by an inhomogeneous layer on a rigid plate.
  B Zhang & S N Chandler-Wilde 1998 SIAM Journal on Applied Mathematics 58, 1931-1950.
• Influence of shape and absorbing surface - A numerical study of railway noise barriers.
  P A Morgan, D C Hothersall, & S N ChandlerWilde 1998 Journal of Sound and Vibration 217, 405-417.
• Padé approximants for the acoustical properties of rigid frame porous media with pore size distributions.
  K V Horoshenkov, K Attenborough, & S N ChandlerWilde 1998 Journal of the Acoustical Society of America 104, 1198-1209.
• Electromagnetic scattering by an inhomogeneous conducting or dielectric layer on a perfectly conducting plate.
  S N Chandler-Wilde & B Zhang 1998 Proceedings of the Royal Society of London, Series A 454, 519-542.
• Tyndall Medal lecture: the boundary element method in outdoor noise propagation.
  S N Chandler-Wilde 1997 Proceedings of the Institute of Acoustics 19(8), 27-50.
• On the solvability of a class of second kind integral equations on unbounded domains.
  S N Chandler-Wilde & B Zhang 1997 Journal of Mathematical Analysis and Applications 214, 482-502.
• The impedance boundary value problem for the Helmholtz equation in a half-plane.
  S N Chandler-Wilde 1997 Mathematical Methods in the Applied Sciences 20, 813-840.
• A depth-integrated 2D coastal and estuarine model with conformal boundary-fitted mesh generation.
  B Lin & S N Chandler-Wilde 1996 International Journal for Numerical Methods in Fluids 23, 819-846.
• Scattering by rough surfaces: the Dirichlet problem for the Helmholtz equation in a non-locally perturbed half-plane.
  S N Chandler-Wilde & C R Ross 1996 Mathematical Methods in the Applied Sciences 19, 959-976.
• Asymptotic behavior at infinity of solutions of multidimensional second kind integral equations.
  S N Chandler-Wilde & A T Peplow 1995 Journal of Integral Equations and Applications 7, 303-327.
• Uniqueness results for direct and inverse scattering by infinite surfaces in a lossy medium.
  S N Chandler-Wilde & C R Ross 1995 Inverse Problems 10, 1063-1067.
• Padé approximants for the acoustical characteristics of porous media.
  S N Chandler-Wilde & K V Horoshenkov 1995 Journal of the Acoustical Society of America 98, 1119-1129.
• Approximate solution of second kind integral equations on infinite cylindrical surfaces.
  A T Peplow & S N Chandler-Wilde 1995 SIAM Journal on Numerical Analysis 32, 594-609.
• Multiple-edge noise barriers.
  D H Crombie, D C Hothersall & S N Chandler-Wilde 1995 Applied Acoustics 44, 353-367.
• Evaluation of a boundary integral formulation for the conformal mapping of the unit disk onto a simply-connected domain.
  S N Chandler-Wilde, J Levesley & D M Hough 1995 Advances in Computational Mathematics 3, 115-135.
• Boundary value problems for the Helmholtz equation in a half-plane.
  S N Chandler-Wilde 1995 in Proceedings of the 3rd International Conference on Mathematical and Numerical Aspects of Wave Propagation, Mandelieu-La Napoule, France, April 1995, pp. 188-197. SIAM.
• Scattering by one-dimensional rough surfaces.
  S N Chandler-Wilde & C R Ross 1995 in Proceedings of the 3rd International Conference on Mathematical and Numerical Aspects of Wave Propagation, Mandelieu-La Napoule, France, April 1995, pp. 208-215. SIAM.
• A uniformly valid far field asymptotic expansion for the Green function for two-dimensional propagation above a homogeneous impedance plane.
  S N Chandler-Wilde & D C Hothersall 1995 Journal of Sound and Vibration 182, 665-675.
• Efficient calculation of the Green function for acoustic propagation above a homogeneous impedance plane.
  S N Chandler-Wilde & D C Hothersall 1995 Journal of Sound and Vibration 180, 705-724.
• On asymptotic behavior at infinity and the finite section method for integral equations on the half-line.
  S N Chandler-Wilde 1994 Journal of Integral Equations and Applications 6, 37-74.
• Some uniform stability and convergence results for integral equations on the real line and projection methods for their solution.
  S N Chandler-Wilde 1993 IMA Journal of Numerical Analysis 13, 509-535.

Professional Affiliations

• Member of the Institute of Acoustics.
• Fellow of the Institute of Mathematics and its Applications.
• Member of the Society for Industrial and Applied Mathematics (SIAM).
• Member of the London Mathematical Society.

Bio Data

• Born Coventry, 29th December, 1959
• Secondary Education at Manchester Grammar School and Colchester Royal Grammar School.
• BSc Maths, Imperial College, London. MSc Engineering Maths, University of Newcastle-upon-Tyne. PhD on "Ground Effects in Environmental Sound Propagation" at University of Bradford.
• Lecturer in Mathematics, Coventry Polytechnic, 1987-1989.
• Lecturer in Civil Engineering, University of Bradford, 1989-1993.
• Lecturer in Mathematics, Brunel University, 1994-96.
• Promoted to Senior Lecturer in Mathematics, Brunel University, October 1996.
• Awarded 1996 Tyndall Medal of the Institute of Acoustics, November 1997.
• Promoted to Reader in Applied Mathematics, Brunel University, October 2000.
• Appointed Professor of Applied Mathematics, University of Reading, September 2003.

Last updated 9 October 2017