PUBLICATIONS

BOOK

Book

Hydon PE, 2000, Symmetry Methods for Differential Equations: A Beginner's Guide , Cambridge University Press.

PAPERS AND PREPRINTS (in PostScript (ps) and PDF (pdf) format - very large files are zipped)

48. Delahaies S, Hydon PE, 2011, Multisymplectic formulation of near-local Hamiltonian blanced models, Proc. Roy. Soc. Lond. A, 467: 3424-3442. ps pdf.

47. Hydon PE, Mansfield EL, 2011, Extensions of Noether's Second Theorem: from continuous to discrete systems, Proc. Roy. Soc. Lond. A, 467: 3206-3221. ps pdf.

46. Tsuda A, Laine-Pearson FE, Hydon PE, 2011, Why chaotic mixing of particles is inevitable in the deep lung, J. Theor. Biol., 286: 57-66. pdf.

45. Laine-Pearson FE, Hydon PE, 2010, Alternating flow in a moving corner, Eur. J. Fluids/B, 29: 278-284. ps pdf.

44. Hydon PE, Viallet C-M, 2010, Asymmetric integrable quad-graph equations, (Invited paper for special issue on Continuous and Discrete Integrable Systems) Applicable Analysis 89: 493-506. ps pdf.

43. Bridges TJ, Hydon PE, Lawson JK, 2010, Multisymplectic structures and the variational bicomplex, Math. Proc. Camb. Phil. Soc. 148: 159-178. ps pdf.

42. Laine-Pearson FE, Hydon PE, 2009, Inertial particle motion in recirculating Stokes flow, Stud. Appl. Math. 122: 139-152. ps pdf. The definitive version is available at www.blackwell-synergy.com.

41. Mansfield EL, Hydon PE, 2008, Difference forms, Found. Comp. Math. 8: 427-467. ps pdf.

40. Laine-Pearson FE, Hydon PE, 2008, The carousel effect in alveolar models, ASME J. Biomech. Engng. 130: 021016. ps pdf.

39. Rasin OG, Hydon PE, 2007, Conservation laws for integrable difference equations, J. Phys. A: Math. Theor. 40: 12763-12773. ps pdf.

38. Cotter CJ, Holm DD, Hydon PE, 2007, Multisymplectic formulation of fluid dynamics using the inverse map, Proc. Roy. Soc. Lond. A 463: 2671-2687. ps pdf.

37. Rasin OG, Hydon PE, 2007, Symmetries of integrable difference equations on the quad-graph, Stud. Appl. Math. 119: 253-269. ps pdf. The definitive version is available at www.blackwell-synergy.com.

36. Sahadevan R, Rasin OG, Hydon PE, 2007, Integrability conditions for nonautonomous quad-graph equations, J. Math. Anal. Appl. 331: 712-726. ps pdf.

35. Rasin OG, Hydon PE, 2006, Conservation laws for NQC-type difference equations, J. Phys. A: Math. Gen. 39: 14055-14066. ps pdf.

34. Laine-Pearson FE, Hydon PE, 2006, Particle transport in a moving corner, J. Fluid Mech. 559: 379-390. ps pdf

33. Rasin, OG, Hydon PE, 2005, Conservation laws of discrete KdV equation, SIGMA 1 (026): 1-6. ps pdf

32. Hydon PE, 2005, An introduction to symmetry methods in the solution of differential equations that occur in chemistry and chemical biology, Int. J. Quantum Chem. 106: 266-277. ps pdf

31. Hydon PE, 2005, Symmetry analysis of initial-value problems, J. Math. Anal. Appl. 309:103-116. ps pdf

30. Hydon PE, 2005, Multisymplectic conservation laws for differential and differential-difference equations, Proc. Roy. Soc. Lond. A 461: 1627-1637. ps pdf

29. Bridges, TJ, Hydon PE, Reich S, 2005, Vorticity and symplecticity in Lagrangian fluid dynamics, J. Phys. A: Math. Gen. 38: 1403-1418. ps pdf

28. Hydon PE, 2004, Self-invariant contact symmetries, J. Nonlinear Math. Phys. 11: 233-242. ps pdf

27. Hydon PE, Mansfield EL, 2004, A variational complex for difference equations, Found. Comp. Math. 4: 187-217. ps pdf

26. Laine-Pearson FE, Hydon PE, 2003, Classification of matrices for discrete symmetries of ordinary differential equations, Stud. Appl. Math. 111: 269-299. ps pdf The definitive version is available at www.blackwell-synergy.com.

25. Tsuda A, Rogers RA, Hydon PE, Butler JP, 2002, Chaotic mixing deep in the lung, Proc. Nat. Acad. Sci. 99: 10173-10178. ps pdf

24. Gammack D, Hydon PE, 2001, Flow in pipes with non-uniform curvature and torsion, J. Fluid Mech. 433: 357-382. ps pdf

23. Hydon PE, 2001, Conservation laws of partial difference equations with two independent variables, J. Phys. A: Math. Gen. 34: 10347-10355. ps pdf

22. Mansfield EL, Hydon PE, 2001, Towards approximations of difference equations which preserve first integrals, Proc. of the 2001 International Symposium on Symbolic and Algebraic Computation (ISSAC 2001), ed. B. Mourrain, ACM, New York, pp 217-222. ps pdf

21. Mansfield EL, Hydon PE, 2001, On a variational complex for difference equations, The Geometrical Study of Differential Equations, eds Joshua A. Leslie and Thierry P. Robart, American Mathematical Society, Providence, RI, 121-129. ps pdf

20. Hydon PE, 2001, Discrete symmetries of differential equations, The Geometrical Study of Differential Equations, eds Joshua A. Leslie and Thierry P. Robart, American Mathematical Society, Providence, RI, 61-70. ps pdf

19. Hydon PE, Mansfield EL, 2000, A variational complex for difference equations, University of Kent Tech. Rep. UKC/IMS/00/32.

18. Hydon PE, 2000, How to construct the discrete symmetries of partial differential equations, Eur. J. Appl. Math. 11: 515-527. ps pdf

17. Hydon PE, 2000, Symmetries and first integrals of ordinary difference equations, Proc. Roy. Soc. Lond. A 456: 2835-2855. ps pdf

16. Hydon PE, 1999, How to use Lie symmetries to find discrete symmetries, Modern Group Analysis VII, eds N. H. Ibragimov, K. R. Naqvi, E. Straume, MARS Publishers, Trondheim, 141-147. ps pdf

15. Hydon PE, 1998, Construction of the discrete symmetries of field equations, Univ. Surrey Tech. Rep. 98/18/Ma.

14. Hydon PE, 1998, How to find discrete contact symmetries, J. Nonlin. Math. Phys. 5: 405-416. ps pdf

13. Hydon PE, 1998, Discrete point symmetries of ordinary differential equations, Proc. Roy. Soc. Lond. A 454: 1961-1972. ps pdf

12. Gammack D, Hydon PE, 1997, Steady flow in pipes of non-uniform curvature and torsion, Univ. Surrey Tech. Rep. 97/19/Ma.

11. Hydon PE, 1996, Chaotic transport in a pipe of uniform curvature, Zeit. Ang. Math. Mech. 292: 215-216.

10. Hydon PE, 1996, A direct method for linear equations in branching networks, Med. Biomed. Engng. Comp. 34: 389-393.

9. Hydon PE, Pedley TJ, 1996, Dispersion in oscillatory channel flow with coupled transverse wall motion, Eur. J. Mech. B 15: 143-156.

8. Hydon PE, 1996, Conformal symmetries of first order ordinary differential equations, J. Phys. A: Math. Gen. 29: 385-392.

7. Pedley TJ, Corieri P, Kamm RD, Grotberg JB, Hydon PE, Schroter RC, 1994, Gas flow and mixing in the airways, Critical Care Medicine 22: S24-S36.

6. Hydon PE, 1994, Resonant and chaotic advection in a curved pipe, Chaos, Solitons and Fractals 4: 941-954.

5. Hydon PE, 1994, Resonant advection by oscillatory flow in a curved pipe, Physica D 76: 44-54.

4. Hydon PE, Pedley TJ, 1993, Axial dispersion in a channel with oscillating walls, J. Fluid Mech. 249: 535-555.

3. Smye SW, Hydon PE, Will E, 1993, An analysis of the single pool urea kinetic model and estimation of errors, Phys. Med. Biol. 38: 115-122.

2. Hydon PE, Marshall JE, Walton K, 1992, All-pass feedback systems, Fifth IMA International Conference on the Mathematics of Control Theory, ed. NK Nichols, DH Owens, 371-380, Oxford University Press.

1. Hydon PE, Higenbottam T, Pedley TJ, 1990, Modelling the pulmonary circulation in health and disease, Biomechanical Transport Processes, ed. F Mosora, C Caro, E Krause, H Schmid-Schonbein, Ch. Baquey, R Pelissier, 135-142, Plenum Press, New York.