Publications in refereed journals

• R. I. Brougham and I. Thompson
  A note on quasiperiodic Green’s functions for arrays. Journal of Engineering Mathematics.
  Published online: July 2015.
  
  
• C. M. Linton and I. Thompson
  Oblique Rayleigh wave scattering by a cylindrical cavity. Quarterly Journal of Mechanics and Applied Mathematics. 68 (3): 235–261, May 2015. Preprint.
  
  
• N. Tymis and I. Thompson
  Scattering by a semi-infinite lattice and the excitation of Bloch waves. Quarterly Journal of Mechanics and Applied Mathematics. 67 (3): 469–503, June 2014. Preprint.
  
  
• I. Thompson
  Algorithm 926: Incomplete Gamma Functions with Negative Arguments. ACM Transactions on Mathematical Software. 39 (2): Article number 14. February 2013.
  
  
• C. M. Linton, V. Zalipaev and I. Thompson
  Electromagnetic guided waves on linear arrays of spheres .
  Wave Motion 50 (1): 29–40, January 2013.
  
  
• I. Thompson
  A note on the real zeros of the incomplete gamma function. Integral transforms and special functions. 23 (6): 445–453, 2012. Preprint.
  
  
• N. Tymis and I. Thompson
  Low frequency scattering by a semi-infinite lattice of cylinders. Quarterly Journal of Mechanics and Applied Mathematics. 64 (2):171–195, May 2011. Preprint.
  
  
• I. Thompson and C. M. Linton.
  Array guided surface waves on a lattice of spheres. SIAM Journal on Applied Mathematics, 70 (8): 2975--2995, October 2010. Preprint.
  
  
• I. Thompson and C. M. Linton.
  Euler–Maclaurin summation and Schlömilch series. Quarterly Journal of Mechanics and Applied Mathematics, 63 (1): 39–56, February 2010. Preprint.
  
  
• C. M. Linton and I. Thompson.
  One- and two-dimensional lattice sums for the three-dimensional Helmholtz equation.
  Journal of Computational Physics, 228 (6): 1815–1829, 1 April 2009. Preprint.
  
  
• I. Thompson and C. M. Linton.
  An interaction theory for scattering by defects in arrays.
  SIAM Journal on Applied Mathematics, 68 (6): 1783–1806, July 2008. Preprint.
  
  
• I. Thompson, C. M. Linton and R. Porter.
  A new approximation method for scattering by long finite arrays.
  Quarterly Journal of Mechanics and Applied Mathematics, 61 (3): 333–352, August 2008. Preprint.
  
  
• I. Thompson and C. M. Linton
  On the excitation of a closely spaced array by a line source.
  IMA Journal of Applied Mathematics 72 (4): 476–497, August 2007. Preprint
  
  
• C. M. Linton, R. Porter and I. Thompson
  Scattering by a semi-infinite array and the excitation of surface waves.
  SIAM Journal on Applied Mathematics 67 (5): 1233–1258, June 2007. Preprint.
  
  
• I. Thompson and I. D. Abrahams
  Diffraction of flexural waves by cracks in orthotropic thin elastic plates. II Far field analysis.
  Proceedings of the Royal Society, series A 463 (2082): 1615–1638, June 2007. Preprint.
  
  
• C. M. Linton and I. Thompson
  Resonant effects in scattering by periodic arrays.
  Wave Motion 44 (3): 165–175, January 2007. Preprint.
  
  
• I. Thompson
  An improved uniform approximation for diffraction integrals.
  Proceedings of the Royal Society, series A 462: 1341–1353, May 2006.
  
  
• I. Thompson and I. D. Abrahams
  Diffraction of flexural waves by cracks in orthotropic thin elastic plates. I Formal solution.
  Proceedings of the Royal Society, series A 461 (2063): 3413–3436 November 2005.
  
  
• I. Thompson, R. H. Tew and C. Christopoulos
  Mode generation and diffraction at the aperture of a waveguide.
  Journal of Physics A-Mathematical and Theoretical 38 (12): 2701–2713 March 2005.
  
  
• I. Thompson, I. D. Abrahams and A. N. Norris
  On the existence of flexural edge waves on thin orthotropic plates.
  Journal of the Acoustical Society of America 112 (5): 1756–1765 Part 1, November 2002.
  
  

In the pipeline

• I. Thompson
  Understanding Maple (book).
  
  
• C. M. Linton and I. Thompson
  Elastic waves trapped above a cylindrical cavity.
  
  
• R. I. Brougham and I. Thompson
  A direct method for Bloch wave excitation.