Embedded Files
My PhD dissertation
My PhD dissertation
Wavefield Singularities : A Caustic Tale of Dislocation and Catastrophe, Francis J. Wright, 1977.
Publications
Publications
Wavefront dislocations and their analysis using catastrophe theory. Structural Stability in Physics; edited by W Güttinger and H Eickemeier. Berlin: Springer, 1979, pp 141–156.
M V Berry, J F Nye and F J Wright, The elliptic umbilic diffraction catastrophe. Phil. Trans. R. Soc. Lond A291, 1979, pp 453–484.
The Stokes set of the cusp diffraction catastrophe. J. Phys. A13, 1980, pp 2913–2928.
M V Berry and F J Wright, Phase-space projection identities for diffraction catastrophes. J. Phys. A13, 1980, pp 149–160.
Singularities of plane curves which occur as singular sections of the bifurcation sets of the cuspoid catastrophes. J. Phys. A14, 1981, pp 1587–1599.
Concept of absolute information. Letter in Computer Weekly. 2nd April 1981.
C Upstill, F J Wright, J V Hajnal and R H Templer, The double-cusp unfolding of the 0X9 diffraction catastrophe. Optica Acta 29(12), 1982, pp 1651–1676.
The road-crossing catastrophe – a light-hearted catastrophe model. The Mathematical Intelligencer 4(2), 1982, pp 103–4.
F J Wright, G Dangelmayr and D Lang, Singular coordinate sections of the conic umbilic catastrophes. J. Phys. A15, 1982, pp 3057–3071.
F J Wright and J F Nye, Dislocations in diffraction patterns: continuous waves and pulses. Phil. Trans. R. Soc. Lond. A305, 1982, pp 339–382.
G Dangelmayr and F J Wright, On the validity of the paraxial eikonal in catastrophe optics. J. Phys. A17, 1984, pp 99–108.
Letter in The Mathematical Intelligencer 6(3), 1984, p 6.
F J Wright and M V Berry, Wavefront dislocations in the soundfield of a pulsed circular piston radiator. J. Acoust. Soc. Am. 75, 1984, pp 733–748.
F J Wright and G Dangelmayr, Partial stability of catastrophe sections and its application to the cuspoid and conic umbilics. J. Phys. A17, 1984, pp 1975–1991.
F J Wright and G Dangelmayr, On the exact reduction of a univariate catastrophe to normal form. J. Phys. A18, 1985, pp 749–64.
F J Wright and G Dangelmayr, Explicit iterative algorithms to reduce a univariate catastrophe to normal form. Computing 35, 1985, pp 73–83.
F J Wright and G Dangelmayr, Caustics and diffraction from a line source. Optica Acta 32, 1985, pp 441–462.
G Dangelmayr and F J Wright, Singularities in quasi-geometrical imaging. Inverse Methods in Electromagnetic Imaging, Part 1, edited by W-M Boerner et al. NATO ASI Series C 143. Dordrecht, Holland: Reidel, 1985, pp 461–472.
W Güttinger and F J Wright, Topological approach to inverse scattering in remote sensing. Inverse Methods in Electromagnetic Imaging, Part 1, edited by W-M Boerner et al. NATO ASI Series C 143. Dordrecht, Holland: Reidel, 1985, pp 65–76.
K Millington and F J Wright, Algebraic computations in elementary catastrophe theory. EUROCAL 85, Vol. 2; edited by B F Caviness. Lecture Notes in Computer Science 204. Berlin: Springer, 1985, pp 116–125.
Plea for paginating output. ix-Magazine 1(4), 1985, p 4.
Dislocations in wave trains, with special reference to the information they carry about microstructure. Polymer NDE, edited by K H G Ashbee. Lancaster PA, USA: Technomic, 1986, pp 3–18.
G Dangelmayr and F J Wright, Geometrical inversion for a scattering curve. Inverse Problems 2, 1986, pp 293–305.
Caustics in seismology. Nature 319, 1986, pp 720–1.
F J Wright and R G Cowell, Computer Algebraic Tools For Applications of Catastrophe Theory. The Physics of Structure Formation: Theory and Simulation, edited by W Güttinger and G Dangelmayr. Berlin: Springer, 1987, pp 402–415.
Review of “Nonlinear Dynamics and Chaos: Geometrical Methods for Engineers and Scientists” by JMT Thomson and HB Stewart. Eur. J. Phys. 8, 1987, p 69.
“BASIC versus APL” and “Computer algebra” in News and events, Eur. J. Phys. 8, 1987, pp 220–224.
On velocity-dependent force fields in which all orbits are planar. Eur. J. Phys. 9, 1988, pp 222–4.
Review of “MuMATH: A Microcomputer Algebra System” by C Wooff and D Hodgkinson. Eur. J. Phys. 9, 1988, p 240.
Catastrophe Optics: Spectacles in the rain. Physics Bulletin 39, 1988, pp 313–6.
Review of “Practical Computing for Experimental Scientists” by John D Beasley. Physics Education, 1989.
R G Cowell and F J Wright, Truncation criteria and algorithm for the reduction to normal form of catastrophe unfoldings I: Singularities with zero rank. Proc. R. Soc. Lond. A424, 1989, pp 327–342.
R G Cowell and F J Wright, Truncation criteria and algorithm for the reduction to normal form of catastrophe unfoldings II: Singularities with non-zero rank. Proc. R. Soc. Lond. A424, 1989, pp 343–356.
R G Cowell and F J Wright, CATFACT: Computer Algebraic Tools For Applications of Catastrophe Theory. Proc. EUROCAL 87. Lecture Notes in Computer Science. Berlin: Springer, 1989, pp 72–81.
Teaching with Computer Algebra: the QMC experience, Proc. Undergraduate Mathematics Teaching Conference, University of Nottingham, Sept. 1988, edited by David Towers. Shell Centre for Mathematical Education, ISBN 0 906126 58 4, 1989, pp 3–15.
M A H MacCallum and F J Wright, Algebraic Computing with REDUCE. Oxford University Press, 300pp, 1991.
G Toulouse and F J Wright, Catastrophe Theory. Encyclopedia of Physics, second edition, edited by Rita G Lerner and George L Trigg, VCH Publishers, Inc, New York, 1991, pp 122–126.
Y-K Man and F J Wright, Fast Polynomial Dispersion Computation and its Application to Indefinite Summation. Proc. ISSAC 94, ACM Press, 1994, pp 175–180.
An Enhanced ODE Solver for REDUCE. Programming and Computer Software No 3, 1997, in English, and Programmirovanie No 3, 1997, pp 5–22, in Russian.
B Bogacka and F J Wright, Experimental Design Problems in Non-linear Chemical Models with the Error Variance Depending on Time. Proc. ISI 99, Tome LVIII, Book 3, Bulletin of the International Statistical Institute, International Statistical Institute, Voorburg, The Netherlands, 1999, pp 255–256.
Interactive Mathematics via the Web using MathML. SIGSAM Bulletin 34 (2), Issue 132, Special Issue on OpenMath, ACM Press, June 2000, pp 49–57.
Review of "Natural Focusing and Fine Structure of Light" by John Nye. American Journal of Physics, 68 (8), August 2000, p 776.
Computing with Maple, Chapman Hall/CRC Mathematics Series Volume 21, 552 pp, ISBN: 1-58488-236-0, September 2001.
B Bogacka and F J Wright, Comparison of Two Design Optimality Criteria Applied to a Non-Linear Model. Journal of Biopharmaceutical Statistics, Vol. 14, No. 4, pp. 909-930, November 2004. [doi:10.1081/BIP-200035458]
B Bogacka and F J Wright, Non-Linear Design Problem in a Chemical Kinetic Model with Non-Constant Error Variance. Journal of Statistical Planning and Inference, Vol. 128, Issue 2, pp 633–648, February 2005. [doi:10.1016/j.jspi.2003.12.010]
G Toulouse and F J Wright, Catastrophe Theory. Encyclopedia of Physics, 3/e, R. G. Lerner, G. L. Trigg (eds.), WILEY-VCH, ISBN: 3-527-40554-2, pp 250–258, October 2005.
Unpublished Papers
Unpublished Papers
Recognising and Solving Special Function ODEs, January 2000.
Unpublished Presentations
Unpublished Presentations
REDUCE Implementation of Primitives for Univariate Skew Polynomials and Linear Ordinary Differential Operators: A progress report. CATHODE Workshop, Nijmegen, January 1995.
Design and Implementation of ODESolve 1+ : An Enhanced REDUCE ODE Solver (abstract, presentation) CATHODE Workshop, Marseilles, May 1999.
Design and Implementation of Web-Based Software Demonstrations (abstract, presentation) CATHODE Workshop, Marseilles, May 1999.
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