Douglas Samuel Jones publications

We list below publications by Douglas Jones. These include papers, books and reviews.

D S Jones, Note on an electrostatic problem, Mathematical Gazette 32 (1948), 84-85.
D S Jones and F B Pidduck, Diffraction by a metal wedge at large angles, Quarterly J. Math. (2) 1 (1950), 229-237.
D S Jones, Note on diffraction by an edge, Quarterly J. Mech. Appl. Math. 3 (1950), 420-434.
D S Jones, Diffraction by a wave-guide of finite length, Proc. Camb. Philos. Soc. 48 (1952), 118-134.
D S Jones, Diffraction by an edge and by a corner, Quarterly J. Mech. Appl. Math. 5 (1952), 363-378.
D S Jones, A simplifying technique in the solution of a class of diffraction problems, Quarterly J. Math. (2) 3 (1952), 189-196.
D S Jones, Removal of an inconsistency in the theory of diffraction, Proc. Camb. Philos. Soc. 48 (1952), 733-741.
D S Jones, The behaviour of the intensity due to a surface distribution of charge near an edge, Proc. London Math. Soc. (3) 2 (1952), 440-454.
D S Jones, Diffraction by a thick semi-infinite plate, Proc. Roy. Soc. Lond. A 217 (1953), 153-175.
D S Jones, The eigenvalues of $<laplacian>^{2}u + \lambdau = 0$ when the boundary conditions are given on semi-infinite domains, Proc. Camb. Philos. Soc. 49 (1953), 668-684.
W Culshaw and D S Jones, Effect of a metal plate on total reflection, Proc. Phys. Soc. B 66 (1953), 859-864.
D S Jones, Note on the steady flow of a fluid past a thin aerofoil, Quarterly J. Math. (2) 6 (1955), 4-8.
D S Jones, The scattering of a scalar wave by a semi-infinite rod of circular cross section, Phil. Trans. Roy. Soc. A 247 (1955), 499-528.
D S Jones, Note on Whitham's 'The propagation of weak spherical shocks in stars', Proc. Camb. Philos. Soc. 51 (1955), 476-485.
D S Jones, On the scattering cross section of an obstacle, Phil. Mag. (7) 46 (1955), 957-962.
D S Jones, A critique of the variational method in scattering problems, Institute of Radio Engineers Trans. Antennas & Propagation 4 (1956), 297-301.
D S Jones, A new method for calculating scattering with particular reference to the circular disc, Comm. Pure Appl. Math. 9 (1956), 713-746.
D S Jones, The unsteady motion of a thin aerofoil in an incompressible fluid, Comm. Pure Appl. Math. 10 (1957), 1-21.
D S Jones and G B Whitham, An approximate treatment of high-frequency scattering, Proc. Camb. Philos. Soc. 53 (1957), 691-701.
D S Jones, Approximate methods in high-frequency scattering, Proc. Roy. Soc. Lond. A 239 (1957), 338-348.
D S Jones, High-frequency scattering of electromagnetic waves, Proc. Roy. Soc. Lond. A 240 (1957), 206-213.
D S Jones and M Kline, Asymptotic expansion of multiple integrals and the method of stationary phase, J. Math. & Phys. 37 (1958), 1-28.
D S Jones and B Noble, The low-frequency scattering by a perfectly conducting strip, Proc. Camb. Philos. Soc. 57 (1961), 364-366.
D S Jones, Electrical and mechanical oscillations (Routledge & Kegan Paul, London, 1961), 104 pages.
D S Jones, The theory of characteristics; Associated Legendre functions; and Legendre functions (three articles), in J Thewlis (ed.), Encyclopaedic dictionary of physics (Pergamon, Oxford, 1961).
D S Jones, Diffraction at high frequencies in a stratified medium, in E C Jordan (ed.), Electromagnetic theory and antennas symposium, Volume I (Pergamon Press, Oxford, 1963), 641-642.
D S Jones, High-frequency refraction and diffraction in general media, Phil. Trans. Roy. Soc. A 255 (1963), 341-387.
D S Jones, The theory of electromagnetism (Pergamon Press, Oxford, 1964), 807 pages.
D S Jones, On a certain singular integral equation. I, J. Math. & Phys. 43 (1964), 27-33.
D S Jones, On a certain singular integral equation. II, J. Math. & Phys. 43 (1964), 263-273.
D S Jones, Diffraction of short wavelengths by a rigid circular disk, Quarterly J. Mech. Appl. Math. 18 (1965), 191-208.
D S Jones, Diffraction at high frequencies by a circular disc, Proc. Camb. Philos. Soc. 61 (1965), 223-245.
D S Jones, Diffraction of a high-frequency plane electromagnetic wave by a perfectly conducting circular disc, Proc. Camb. Philos. Soc. 61 (1965), 247-270.
D S Jones, Some remarks on diffraction by a disc, Acta Physica Polonica 27 (1965), 137-145.
D S Jones, Some remarks on Hilbert transforms, J. Inst. Maths. Applications 1 (1965), 226-240.
D S Jones, Generalised functions (McGraw-Hill, New York, 1966), 482 pages.
D S Jones, Fourier transforms and the method of stationary phase, J. Inst. Maths. Applications 2 (1966), 197-222.
D S Jones, Lagrange's theorem for weak functions, Mathematika 13 (1966), 158-171.
D S Jones, A uniqueness theorem, Quarterly J. Mech. Appl. Math. 20 (1967), 135-136.
D S Jones, Supersonic flow and wing-body interference, Mathematika 14 (1967), 68-93.
A E Heins and D S Jones, Note on diffraction by a disc, Proc. Camb. Philos. Soc. 63 (1967), 851-853.
D S Jones, High-frequency diffraction of the radiation from a nearby source, Proc. Camb. Philos. Soc. 63 (1967), 1145-1155.
D S Jones, Review: Distribution theory and transform analysis, by A H Zemanian, Mathematical Gazette 52 (1968), 90-91.
D S Jones, Review: Generalized functions and direct operational methods, by T P G Liverman, Mathematical Gazette 52 (1968), 91-92.
D S Jones, Review: Integral transforms in mathematical physics, by C J Tranter, Mathematical Gazette 52 (1968), 416.
D S Jones, Review: Mathematical models for the evaluation of electric and magnetic fields, by O V Tozoni, Nature 220 (1968), 1014.
D S Jones and D W Jordan, Introductory analysis, Volume 1 and Volume 2 (Wiley, London, 1970).
D S Jones, Generalized transforms and their asymptotic behaviour, Phil. Trans. Roy. Soc. A 265 (1969), 1-43.
D S Jones, A modified Hilbert transform, Proc. Roy. Soc. Edinburgh Sect. A 69 (1970), 45-76.
D S Jones, A uniform asymptotic expansion for a certain double integral, Proc. Roy. Soc. Edinburgh Sect. A 69 (1970), 205-226.
D S Jones, Scattering by a rigid inertial screen, Admiralty Underwater Weapons Establishment Technical Note 390/70 (1970).
D S Jones, Scattering by a screen with local inertia, Admiralty Underwater Weapons Establishment Technical Note 391/70 (1970).
D S Jones, Asymptotic behaviour of an aperture integral, Proc. Roy. Soc. Edinburgh Sect. A 71 (1971), 9-29.
D S Jones, Review: Distributions and Fourier transforms, by W F Donoghue, Jr., Bull. Lond. Math. Soc. 3 (1971), 89-90.
D S Jones, Aerodynamic sound due to a source near a half-plane, J. Inst. Maths. Applications 9 (1972), 114-122.
D S Jones, Diffraction theory: a brief introductory review, J. Sound & Vibration 20 (1972), 71-78.
D S Jones and J D Morgan, The instability of a vortex sheet on a subsonic stream under acoustic radiation, Proc. Camb. Philos. Soc. 72 (1972), 465-488.
D S Jones, Asymptotic behavior of integrals, SIAM Review 14 (1972), 286-317.
D S Jones and J D Morgan, The instability due to acoustic radiation striking a vortex sheet on a supersonic stream, Proc. Roy. Soc. Edinburgh Sect. A 71 (1972), 121-140.
D S Jones, Truncation error in the solution of integral equations, Proc. Roy. Soc. Edinburgh Sect. A 71 (1973), 263-273.
D S Jones, The convolution of generalized functions, Quarterly J. Math. (2) 24 (1973), 145-163.
D S Jones, Double knife-edge diffraction and ray theory, Quarterly J. Mech. Appl. Math. 26 (1973), 1-18.
D S Jones, The effect of radiation due to a moving source on a vortex sheet, Proc. Roy. Soc. Edinburgh Sect. A 72 (1973), 195-205.
D S Jones, The reflexion of an acoustic pulse by a plane vortex sheet, Proc. Camb. Philos. Soc. 74 (1973), 349-364.
D S Jones, The variable metric algorithm for non-definite quadratic functions, J. Inst. Maths. Applications 12 (1973), 63-71.
D S Jones and J D Morgan, A linear model of a finite amplitude Helmholtz instability, Proc. Roy. Soc. Lond. A 338 (1974), 17-41.
D S Jones, Integral equations for the exterior acoustic problem, Quarterly J. Mech. Appl. Math. 27 (1974), 129-142.
D S Jones, Numerical methods for antenna problems, Proc. Institution of Electrical Engineers 121 (1974), 573-582.
D S Jones, Review: Computational physics, by D Potter, Nature 248 (1974), 295.
D S Jones, Review: Generalized functions and Fourier analysis, by J L Challifour, Science Progress 61 (1974), 455-456.
D S Jones, The penetration into conductors of magnetic fields from moving charges, J. Phys. A: Math & Gen. 8 (1975), 742-750.
D S Jones, The scattering of sound by a vortex sheet, J. Inst. Maths. Applications 15 (1975), 33-57.
D S Jones, Scattering of sound by a lifting boundary, Quarterly J. Mech. Appl. Math. 29 (1976), 429-455.
A D Rawlins and D S Jones, A new class of Bessel function inequality useful for investigating the roots of a class of transcendental equation involving Bessel functions, Proc. Roy. Soc. Edinburgh Sect. A 74 (1976), 231-238.
W N Everitt and D S Jones, On an integral inequality, Proc. Roy. Soc. Lond. A 357 (1977), 271-288.
D S Jones, The mathematical theory of noise shielding, Progress in Aerospace Sciences 17 (1977), 149-229.
D S Jones, The scattering of sound by a simple shear layer, Phil. Trans. Roy. Soc. A 284 (1977), 287-328.
D S Jones, Review: The wave equation on a curved space-time, by F G Friedlander, Bull. London Math. Soc. 9 (1977), 235-236.
D S Jones, Reviews: Nonlinear Analysis, vols. I and II, edited by N M Temme, Bull. London Math. Soc. 9 (1977), 346.
D S Jones, Review: Asymptotic wave theory, by M Roseau, Bull. Amer. Math. Soc. 83 (1977), 315-317.
D S Jones, Acoustics of a splitter plate, J. Inst. Maths. Applications 21 (1978), 197-209.
D S Jones, Acoustic tunnelling, Proc. Roy. Soc. Edinburgh Sect. A 81 (1978), 1-21.
D S Jones, Electromagnetic tunnelling, Quarterly J. Mech. Appl. Math. 31 (1978), 409-434.
D S Jones, Methods in electromagnetic wave propagation (Clarendon Press, Oxford, 1979), 887 pages.
D S Jones, Elementary information theory (Clarendon Press, Oxford, 1979), 182 pages.
D S Jones and G G Swinerd, A note on the intersection of dispersion curves of a fluid-loaded elastic plate, J. Inst. Maths. Applications 23 (1979), 311-319.
D S Jones, Low frequency electromagnetic radiation, J. Inst. Maths. Applications 23 (1979), 421-447.
D S Jones, Acoustic radiation of long wavelength, Proc. Roy. Soc. Edinburgh Sect. A 83 (1979), 245-254.
D S Jones, Arthur Erdélyi. 2 October 1908 - 12 December 1977, Biogr. Mems Fell. Roy. Soc. 25 (1979), 266-286.
D S Jones, The scattering of long electromagnetic waves, Quarterly J. Mech. Appl. Math. 33 (1980), 105-122.
D S Jones, Infinite integrals and convolution, Proc. Roy. Soc. Lond. A 371 (1980), 479-508.
D S Jones, Galerkin's method and stability, Math. Methods Appl. Sci. 2 (1980), 347-377.
D S Jones, The Kontorovich-Lebedev transform, J. Inst. Maths. Applications 26 (1980), 133-141.
D S Jones, Note on the integral equation for a straight wire antenna, Institution of Electrical Engineers Proc. H, Microwaves, Optics & Antennas 128 (1981), 114-116.
D S Jones, Low-frequency scattering in elasticity, Quarterly J. Mech. Appl. Math. 34 (1981), 431-451.
D S Jones and P G Moore, Circular seating arrangements, J. Institute of Actuaries 108 (1981), 405-411.
D S Jones, Review: The boundary layer method in diffraction problems, by V M Babic and N Y Kirpicnikova, Optics & Laser Technology 13 (1981), 54.
D S Jones, Whither Mathematics?, University Grants Committee Report (1981).
D S Jones, Whither Mathematics? - a summary, Bull. Inst. Math. Applications 13 (1981), 194-195.
D S Jones, Scattering by an elastic plate and reinforcing rib, Ministry of Defence Report (1981).
D S Jones, The theory of generalised functions (2nd edition) (Cambridge University Press, Cambridge, 1982), 539 pages.
D S Jones, A note on Galerkin's method, Inst. Maths. Applications J. Appl. Math. 28 (1982), 51-73.
D S Jones, Generalised functions and their convolution, Proc. Roy. Soc. Edinburgh Sect. A 91 (1982), 213-233.
D S Jones, Crosspolarisation in scattering at low frequencies, Institution of Electrical Engineers Proc. F, Communications, Radar & Signal Processing 129 (1982), 327-330.
D S Jones, Report on Computer Science, Mathematical Sciences Sub-committee of the University Grants Committee (1982).
D S Jones and B D Sleeman, Differential equations and mathematical biology (Allen & Unwin, London, 1983), 339 pages.
D S Jones, Low-frequency scattering by a body in lubricated contact, Quarterly J. Mech. Appl. Math. 36 (1983), 111-138.
D S Jones, The second correction in low-frequency scattering by a body in lubricated contact, Quarterly J. Mech. Appl. Math. 36 (1983), 223-236.
D S Jones, Future prospects, IUCC Bulletin 5 (1983), 113-117.
D S Jones, A uniqueness theorem in elastodynamics, Quarterly J. Mech. Appl. Math. 37 (1984), 121-142.
D S Jones, Factorization of a Wiener-Hopf matrix, Inst. Maths. Applications J. Appl. Math. 32 (1984), 211-220.
D S Jones, Commutative Wiener-Hopf factorization of a matrix, Proc. Roy. Soc. Lond. A 393 (1984), 185-192.
D S Jones, An exterior problem in elastodynamics, Math. Proc. Camb. Philos. Soc. 96 (1984), 173-182.
D S Jones, Scattering by inhomogeneous dielectric particles, Quarterly J. Mech. Appl. Math. 38 (1985), 135-155.
D S Jones, Boundary integrals in elastodynamics, Inst. Maths. Applications J. Appl. Math. 34 (1985), 83-97.
D S Jones, Note on a uniqueness theorem of Schiffer, Applicable Analysis 19 (1985), 181-188.
D S Jones, Some problems in scattering, Kleinheubacher Berichte 28 (1985), 193-202.
D S Jones, Acoustic and electromagnetic waves (Clarendon Press, Oxford, 1986), 745 pages.
D S Jones, Diffraction by three semi-infinite planes, Proc. Roy. Soc. Lond. A 404 (1986), 299-321.
D S Jones, Methods in electromagnetic wave propagation. Vol. 1, Theory and guided waves; Vol. 2, Radiating waves (Clarendon Press, Oxford, 1987), Vol. 1, 410 pages, Vol. 2, 411 pages.
D S Jones, Note on low-frequency waves, Radio Science 22 (1987), 1219-1224.
D S Jones, Assembly programming and the 8086 microprocessor (Oxford University Press, Oxford, 1988), 203 pages.
D S Jones, Hertz, Kirchhoff and others, in W Wiesbeck (ed.), 100 Jahre elektromagnetische Wellen: Vortrage des Heinrich-Hertz-Symposiums vom 14. und 15. Marz 1988 in Karlsruhe (VDE-Verlag, 1988), 64-72.
D S Jones, An approximate boundary condition in acoustics, J. Sound & Vibration 121 (1988), 37-45.
D S Jones, The eigenvalues of a cavity resonator, Quarterly J. Mech. Appl. Math. 41 (1988), 469-477.
D S Jones, Surface radiation conditions, Inst. Maths. Applications J. Appl. Math. 41 (1988), 21-30.
D S Jones and X Q Mao, The inverse problem in hard acoustic scattering, Inverse Problems 5 (1989), 731-748.
D S Jones, A surface radiation condition for optical fibres, Quarterly J. Mech. Appl. Math. 42 (1989), 457-466.
D S Jones and X Q Mao, A method for solving the inverse problem in soft acoustic scattering, Inst. Maths. Applications J. Appl. Math. 44 (1990), 127-143.
D S Jones, A thin wire approximation, SIAM J. Appl. Math. 50 (1990), 547-558.
D S Jones and G A Kriegsmann, Note on surface radiation conditions, SIAM J. Appl. Math. 50 (1990), 559-568.
D S Jones, Uniform asymptotic remainders, in R Wong (ed.), Asymptotic and computational analysis (Marcel Dekker, New York, 1990), 241-264.
D S Jones, 80x86 assembly programming (Oxford University Press, Oxford, 1991), 456 pages.
D S Jones, Wiener-Hopf splitting of a 2 × 2 matrix, Proc. Roy. Soc. Lond. A 434 (1991), 419-433.
D S Jones, An improved surface radiation condition, Inst. Maths. Applications J. Appl. Math. 48 (1992), 163-193.
D S Jones, Huygens' principle and a field relation, in H Blok, H A Ferwerda and H K Kuiken (eds.), Huygens' principle 1690-1990: theory and applications (North-Holland, Amsterdam, 1992), 193-214.
D S Jones, Traveling waves on a wire, Arabian Journal for Science & Engineering 17 (1992), 541-563.
D S Jones, Asymptotic series and remainders, in B D Sleeman and R J Jarvis (eds), Ordinary and partial differential equations, vol. IV (Dundee, 1992) (Pitman Res. Notes Math. Ser. 289, Longman, Harlow, 1993), 112-125.
D S Jones, Methods in electromagnetic wave propagation (2nd edition) (Clarendon Press, Oxford, 1994), 655 pages.
D S Jones, Asymptotic remainders, SIAM J. Mathematical Analysis 25 (1994), 474-490.
D S Jones, Physical optics and the surface radiation condition, Quarterly J. Mech. Appl. Math. 47 (1994), 629-634.
B Fisher, D S Jones and Cheng Linzhi, Convolution products of distributions on Rm, J. Huazhong Agricultural University 14 (1995), 303-306.
D S Jones, Estimation of divergent integrals, New Jersey Institute of Technology Report CAMS 058 (1995).
D S Jones, Hadamard's finite part, Math. Methods Appl. Sci. 19 (1996), 1017-1052.
D S Jones, Review: Waves and distributions, by T Jonsson and J Yngvason, J. Fluid Mech. 311 (1996), 380-381.
D S Jones, Introduction to asymptotics. A treatment using nonstandard analysis (World Scientific, River Edge, 1997), 165 pages.
D S Jones, Scattering by a cone, Quarterly J. Mech. Appl. Math. 50 (1997), 499-523.
D S Jones, Irradiation of a cone by a magnetic dipole, Inst. Maths. Applications J. Appl. Math. 60 (1998), 33-53.
W D Evans, W N Everitt, W K Hayman and D S Jones, Five integral inequalities; an inheritance from Hardy and Littlewood, J. Inequalities & Applications 2 (1998), 1-36.
D S Jones, Effect of end taper, Quarterly J. Mech. Appl. Math. 52 (1999), 311-326.
D S Jones, Rawlins' method and the diaphanous cone, Quarterly J. Mech. Appl. Math. 53 (2000), 91-109.
D S Jones, Singularities of Fourier transforms: a tribute to M J Lighthill, J. Engrg. Math. 38 (2000), 439-470.
D S Jones, Impedance of an absorbing wedge, Quarterly J. Mech. Appl. Math. 54 (2001), 257-271.
D S Jones, Impedance of a lossy wedge, Inst. Maths. Applications J. Appl. Math. 66 (2001), 411-422.
D S Jones, Asymptotics of the hypergeometric function, Math. Methods Appl. Sci. 24 (2001), 369-389.
D S Jones, TE-impedance of a coated right-angled wedge, J. Engrg. Math. 42 (2002), 119-131.
D S Jones and B D Sleeman, Differential equations and mathematical biology (Chapman & Hall/CRC, Boca Raton, 2003), 390 pages.
D S Jones, Some properties of Legendre functions, Analysis & Applications 2 (2004), 129-143.
D S Jones, Is electromagnetism any use?, in I Gohberg, A F dos Santos, F-O Speck, F S Teixeira and W Wendland (eds.), Operator theoretical methods and applications to mathematical physics. The Erhard Meister memorial volume (Birkhaäuser, Basel, 2004), 47-61.
D S Jones, The generalized Goodwin-Staton integral, Proc. Edinburgh Math. Soc. (2) 48 (2005), 635-650.
D S Jones, Parabolic cylinder functions of large order, J. Comput. Appl. Math. 190 (2006), 453-469.
D S Jones, Incomplete Bessel functions. I, Proc. Edinburgh Math. Soc. (2) 50 (2007), 173-183.
D S Jones, Note on a hypergeometric integral, Proc. Edinburgh Math. Soc. (2) 50 (2007), 701-710.
D S Jones, Incomplete Bessel functions. II. Asymptotic expansions for large argument, Proc. Edinburgh Math. Soc. (2) 50 (2007), 711-723.
D S Jones, M J Plank and B D Sleeman, Differential equations and mathematical biology (2nd edition) (Chapman & Hall/CRC, Boca Raton, 2010), 444 pages.

Last Updated January 2019