David Wall's Refereed Publications since 1975

Refereed Publications in International Journals, Book Chapters & refereed conference publications

Ingegerd Åberg, Gerhard Kristensson, and David J. N. Wall. Propagation of transient electromagnetic waves in time-varying media. In Proceedings of Progress In Electromagnetic Research Symposium (PIERS), pages 1023-1027, Netherlands, 1994.

Ingegerd Åberg, Gerhard Kristensson, and David J. N. Wall. Direct and inverse scattering problems in non-stationary media. In Proceedings of International Union of Radio Science (URSI) International Symposium on Electromagnetic Theory, page 101, St. Petersberg, Russia, May 23-26 1995.

Ingegerd Åberg, Gerhard Kristensson, and David J. N. Wall. Propagation of transient electromagnetic waves in time-varying media - direct and inverse scattering problems. Inverse Problems, 11:29-49, 1995.

Ingegerd Åberg, Gerhard Kristensson, and David J. N. Wall. Transient waves in non-stationary media. J. Math. Phys., 37(5):2229-2252, 1996.

Britta Basse, Bruce C. Baguley, Elaine S. Marshall, Wayne R. Joseph, Bruce van Brunt, Graeme C. Wake, and David J. N. Wall. Modelling cell death in human tumour cell lines exposed to the anticancer drug paclitaxel. J. Math. Biol., pages 329-357, 2004.

Britta Basse, Bruce C. Baguley, Elaine S. Marshall, Wayne R. Joseph, Bruce van Brunt, Graeme C. Wake, and David J. N. Wall. A mathematical model for analysis of the cell cycle in human tumours. J. Math. Biol., 47:295-312, 2003.

Britta Basse, Graeme C. Wake, and David J. N. Wall. Modelling cell population growth with applications to cancer therapy in human tumour cell lines. Prog Biophys Mol, Biol., 85:353-368, 2004.

Britta Basse, Graeme C. Wake, David J. N. Wall, and Bruce van Brunt. On a cell-growth model for plankton. IMA: J. Mathematics Applied in Medicine and Biology, 21(1):49-61, 2004.

R. H. T. Bates and D. J. N. Wall. Chandrasekhar transformations improve convergence of scattering from linearly stratified media. IEEE Trans. Antennas and Propagation, AP-24:251-253, 1976.

R. H. T. Bates and D. J. N. Wall. Null field approach to scalar diffraction. I. General method. Phil. Trans. R. Soc. Lond., A 287:45-78, 1977.

R. H. T. Bates and D. J. N. Wall. Null field approach to scalar diffraction. II. Approximate methods. Phil. Trans. R. Soc. Lond., A 287:79-95, 1977.

R. H. T. Bates and D. J. N. Wall. Null field approach to scalar diffraction. III. Inverse methods. Phil. Trans. R. Soc. Lond., A 287:97-114, 1977.

R. H. T. Bates, T. S. Yeo, and D. J. N. Wall. Inverse source approach to inverse scattering. Proc. Int. Soc. Optical Eng., 558:21-24, 1985.

Dag V. J. Billger and David J. N. Wall. A time domain algorithm for the reflection of waves on a viscoelastically supported Timoshenko beam. Q. Jl. Mech. appl. Math., 52(2):211-236, 1999.

T. J. Connolly and D. J. N. Wall. On an inverse problem, with boundary measurements, for the steady state diffusion equation. Inverse Problems, 4:995-1012, 1988.

T. J. Connolly and D. J. N. Wall. On Fréchet differentiability of some non-linear operators occurring in inverse problems; an implicit function theorem approach. Inverse Problems, 6:949-966, 1990.

T. J. Connolly and D. J. N. Wall. On some inverse problems for a nonlinear transport equation. Inverse Problems, 13(2):283-295, 1997.

T. J. Connolly, D. J. N. Wall, and R. H. T. Bates. Inverse problems and the Newton-Kantorovich method. Proc. Int. Soc. Optical Eng., 558:30-34, 1985.

Haruyuki Harada, Mitsuru Tanaka, Takashi Takenaka, and David J. N. Wall. An efficient iterative technique for reconstructing three-dimensional dielectric objects. In The Digests of 4th Japanese-Polish Joint Seminar on Electromagnetic Phenomena Applied to Technology, pages 116-119, Oita, Japan, June 1995.

Haruyuki Harada, David J. N. Wall, Takashi Takenaka, and Mitsuru Tanaka. Conjugate gradient method applied to an inverse scattering problem. IEEE Trans. Antennas and Propagation, 43(8):784-792, 1995.

Gerhard Kristensson and David J. N. Wall. Direct and inverse scattering for transient electromagnetic waves in nonlinear media. Inverse Problems, 14:113-137, 1998.

A. Lakhtukia, V. K. Varadan, V. V. Varadan, and D. J. N. Wall. The T-matrix approach for scattering by a traction-free periodic rough crack: SH waves. J. Acoust. Soc. Am., 71:1839-1846, 1984.

D. M. O'Brien and D. J. N. Wall. Radiation from a whip antenna mounted on a sphere. J. Phys. D: Appl. Phys., 13:2185-2215, 1980.

P. R. Shorten, A. B. Robson, A. E. McKinnon, and D. J. N. Wall. CRH-induced electrical activity and calcium signalling in pituitary corticotrophs. J. theor. Bio., 206(3):395-405, October 2000.

Paul R. Shorten and David J. N. Wall. Signal restoration for a mass transport problem involving shear dispersion. Inverse Problems, 14:1031-1032, 1998.

Paul R. Shorten and David J. N. Wall. A Hodgkin-Huxley model exhibiting bursting oscillations. Bulletin of Mathematical Biology, 62(4):695-715, 2000.

Paul R. Shorten and David J. N. Wall. Fluid velocity profile reconstruction for non-Newtonian shear dispersive flow. J. App. Math. and Dec. Sci., 5(2):87-104, 2001.

Paul R. Shorten and David J. N. Wall. A model of dispersion in perifusion systems. J. Theor. Medicine, 3:191-211, 2001.

Paul R. Shorten and David J. N. Wall. Signal restoration after transmission through an advective and diffusive medium. Proc. Roy. Soc. Lond. Ser. A, 460:821-846, 2004.

Daniel Sjöberg, Gerhard Kristensson, and David J. N. Wall. Direct and inverse scattering for transient electromagnetic waves in a nonlinear media. In Proceedings of International Union of Radio Science (URSI) International Symposium on Electromagnetic Theory, Thessaloniki, Greece, May 25-28 1998.

T. Takenaka, D. J. N. Wall, H. Harada, and M. Tanaka. Reconstruction algorithm of the refractive index of a cylindrical object from the intensity measurements of the total field. Microwave & Optical Technology Letters, 14(3):182-188, 1997.

Takashi Takenaka, David J. N. Wall, Haruyuki Harada, and Mitsuru Tanaka. Application of the conjugate gradient algorithm applied to inverse scattering for penetrable objects. In Proc. of IEEE Antennas and Propagation Society International Symposium, volume 1, pages 496-499, Michigan, June 1993.

Takashi Takenaka, David J. N. Wall, Mitsuru Tanaka, and Haruyuki Harada. Reconstruction of dielectric constant of cylindrical object from bistatic scattering width. In Proceedings of Progress In Electromagnetic Research Symposium (PIERS), pages 261-264, Pasadena, July 1993.

Takashi Takenaka, David J. N. Wall, Mitsuru Tanaka, and Haruyuki Harada. Intensity-only reconstruction algorithm for diffraction tomography. In Proceedings of IEEE Antennas and Propagation Society International Symposium, volume 3, pages 2284-2287, Seattle, June 1994.

D. G. H. Tan, R. Murch, and D. J. N. Wall. Newton-Kantorovich method applied to two dimensional inverse scattering for an exterior Helmholtz equation. Inverse Problems, 4:1117-1128, 1988.

Mitsuru Tanaka, T. Hiraoka, Takashi Takenaka, Haruyuki Harada, David J. N. Wall, and T. Furuoku. Electromagnetic detection of cylindrical buried objects. In The Digests of 4th Japanese-Polish Joint Seminar on Electromagnetic Phenomena Applied to Technology, pages 112-115, Oita, Japan, June 1995.

Mitsuru Tanaka, Takashi Takenaka, Haruyuki Harada, and David J. N. Wall. An iterative inversion algorithm for the reconstruction of buried dielectric objects. In Proceedings of IEEE Antennas and Propagation Society International Symposium, volume 3, pages 1640-1643, Seattle, June 1994.

V. V. Varadan, D. J. N. Wall, S. J. Tsao, and V. K. Varadan. Elastic wave scattering from surface breaking cylindrical cracks: SH waves. J. Acoust. Soc. Am., 71:1384-1390, 1982.

G.C. Wake, M.G. Roberts, D.J.N. Wall, and S. Yamaoto. Illustrative examples and theory of a Kermack-McKendrick model applied to infectious diseases. In IMA Conference on Mathematical Modelling and Statistical Analysis of Infectious Diseases, pages 201-208, Cardiff, September 2001.

D. J. N. Wall. Surface currents on perfectly conducting elliptic cylinders. IEEE Trans. Antennas and Propagation, AP-23:301-302, 1975.

D. J. N. Wall. Circularly symmetric Green's tensors for the harmonic vector wave equation. J. Phys. A: Math. Gen., 11:749-757, 1978.

D. J. N. Wall. The null field approach to the antenna boundary value problem. In 1978 IEE Proceedings, volume 169, pages 174-178, London, 1978. Institution of Electrical Engineers.

D. J. N. Wall. Methods of overcoming numerical instabilities associated with the T-matrix method. In V. K. Varadan and V. V. Varadan, editors, Acoustic, Electromagnetic and Elastic Wave Scattering - Focus on the T-Matrix Approach, pages 269-286, New York, 1980. Pergamon Press.

D. J. N. Wall. A uniqueness theorem for the reduced wave equation governing the acoustic wave in a heterogeneous medium. Q. Jl. Mech. appl. Math., pages 141-153, 1988.

D. J. N. Wall. Uniqueness theorems for the inverse problem of elastodynamic boundary scattering. IMA J. Appl. Math., 44:221-241, 1990.

D. J. N. Wall. On some differential equation equations arising in time domain scattering problems for a dissipative wave equation. Transport Theory and Statistical Physics, 20:29-54, 1991.

D. J. N. Wall. On the numerical solution of a functional differential equation pertaining to a wave equation. In J. P. Corones, G. Kristensson, P. Nelson, and D. L. Seth, editors, Invariant Imbedding and Inverse Problems, chapter 13, pages 169-186. SIAM, Philadephia, 1992.

D. J. N. Wall. Signal restoration after transmission through a diffusive medium. In B. J. Noye, M. D. Teubner, and A. W. Gill, editors, Computational Techniques and Applications: CTAC97, pages 711-718, Singapore, 1998. World Scientific.

D. J. N. Wall, V. V. Varadan, and V. K. Varadan. Dynamic stress concentrations of cylindrical cavities with sharp and smooth boundaries: I SH waves. Wave Motion, 3:201-213, 1981.

D. J. N. Wall, T. S. Yeo, and R. H. T. Bates. Inverse scattering and the null field method. Proc. Int. Soc. Optical Eng., 558:25-29, 1985.

David J. N. Wall and Gerhard Kristensson. Inverse problems associated with simple nonlinear wave equations. In John A. DeSanto, editor, Mathematical and numerical aspects of wave propagation, pages 254-258, Philadephia, May 1998. SIAM.

David J. N. Wall and Jonas Lundstedt. On inverse source problems for the one-way wave equation. Wave Motion, 27:55-77, 1998.

David J. N. Wall and Jonas Lundstedt. Inverse source problems involving the one-way wave equation: Medium function reconstruction. Mathematics and Computers in Simulation, 50:489-510, 1999.

David J. N. Wall and Peter Olsson. Invariant imbedding and hyperbolic heat waves. J. Math. Phys., 38(3):1723-1749, 1997.

T. S. Yeo, D. J. N. Wall, and R. H. T Bates. Towards an algorithm for dielectric-edge diffraction coefficients. Proc. IEE Part H, 132:461-467, 1985.