Grant Keady's PUBLICATIONS, Maths

{2009 or 2010?}

The rolling of a disk on a horizontal table.
Two papers are in preparation the second with proofs.
The first paper is:
(with Paul Abbott and Simon Tyler)
Euler's disk: examples used in engineering and applied mathematics teaching
Submitted to EMAC2009
Present Version and earlier drafts
Oldish drafts and related items are here

{2007b}

On a question of Milman and Alesker concerning the monotonicity of a domain functional. Jnl of Inequalities in Pure and Appl. Math. vol 8, issue 3, paper 76.
A local copy is here in pdf.
(Other efforts on moments of inertia and similar domain functionals are here.)

{2007a}

On a Brunn-Minkowski theorem for a geometric domain functional considered by Avhadiev. Jnl of Inequalities in Pure and Appl. Math. vol 8, issue 2, paper 33.
A local copy is here in pdf.
(Other efforts on moments of inertia and similar domain functionals are here.)

{2006b}

(with A.Pakes) On a Conjecture of de La Grandville and Solow concerning Power Means.
Jnl of Inequalities in Pure and Appl. Math. vol 7, issue 3, paper 98.
A local copy is here in pdf.

{2006a}

(with P.V.Scales) Watt quadrilaterals and IMO-2005. Mathematical Gazette, 90 (no 519, Nov 06), 488-490.
m-a.org.uk gazette_nov_2006
Related items are here.

{2005}

(with S.Richardson) Computer tables of torsional rigidity for convex cross-sections. Pp 265-269 in Proceedings of the 18th Australasian Conference on the Mechanics of Structures and Materials, (Dec 04, Perth). (Publication date 2005: A.A. Balkema Publishers, ed. A.J. Deeks and H. Hao.)
More, via here.

{2004b}

(with P.V.Scales and S.Z.Nemeth) Watt linkages and quadrilaterals. Mathematical Gazette, 88 (no 513, Nov 04), 475-492.
More via here.

{2004a}

(with L.E.Fraenkel) On the entry of a wedge into water: the thin wedge and an all-purpose boundary-layer equation. Journal of Engineering Mathematics , 48, 219-252.

More details and accompaniments here.

{2002a}

On a boundary layer in the problem of a wedge entering water. Pp153-158 of Proceedings of the BAIL2002 Conference on Boundary and Interior Layers, July 2002, Perth. (Editors S.Wang and N.D.Fowkes.)
(ISBN 1 74052 075 0)

More details and accompaniments here.

{2000b}

(with P.V.Scales and G.F.Fitz-Gerald) Envelopes generated by circular-arc coupler-bars in James Watt's four bar linkages.
Proceedings of the Engineering Mathematics and Applications Conference, RMIT, Melbourne, Sept. 2000., pages 171-174
The paper and related items, including CAS accompaniments are available from here.

{2000a}

(with S.Dragomir) A Hadamard-Jensen inequality and an application to the elastic torsion problem.
Appl. Analysis 75, 285-295.
Click for the pdf form of the 1996 Research Report version (and supplements in Appendices).
The research report appeared in JIPAM, early in the history of this electronic journal and at a time when separate paper publication was appropriate.

{1998b}

(with N.Fowkes) The vertical entry of a wedge into water: integral equations and numerical results. Pp 277-280 in, Proceedings of the Engineering Mathematics and Applications Conference, Adelaide, July 1998. (Ed. E.O. Tuck, J.A.K. Scott. Institution of Engineers, Australia: 1998. ISBN 185825 686X)
HTML abstract, and links particularly to Postscript for longer research report with more details, esp. on mathematical analysis aspects.

{1998a}

Colebrook-White for pipe flows. ASCE Jnl Hydraulic Engineering, 124 (1), 96-97.
Click for the Postscript of a longer research report form with more on the convex optimization formulation.

{1997b}

(with D.G. Hurley) The generation of internal waves by vibrating elliptic cylinders. Part 2. Approximate viscous solution. Jnl Fluid Mech. 351, 119-138.
JFM Digital Archive
To access the Jan 96 research report form, and related items, click here.

{1997a}

(with C. Cetinkaya and A. Triulzi) Mathematica, Packs for Mechanical Engineers and the elastic torsion problem. Pp 278-297 in "Proceedings of the Asian Technology Conference in Mathematics" , Penang, June 1997. (Edited by Wei-Chi Yang and Yahya Abu Hasan.)
My torsion papers are collected here.

{1996a}

(with P. Abbott) Tables of stress and strain - the elastic torsion problem - in a CAS. Pp387-392 in "Proceedings of the Australian Engineering Mathematics Conference" , Sydney, July 1996. (Ed. W.Y.D. Yuen, P. Broadbridge, J.M. Steiner. Institution of Engineers, Australia: 1996. ISBN 085825 653 3.)
Click for the Mathematica 3.0 Notebook form (or for the old pre-Mma 3, 1995 vintage, hand-prepared html form).

{1995a}

(with B. Calvert) Braess's paradox and power-law nonlinearities in networks II. In "Proceedings of the First World Congress of Nonlinear Analysts, WC528" , Aug. 92, Volume III (published 1995), pp. 2223 - 2230. Editor W. de Gruyter, editorial secretary D. Harnish. wcna3.html

{1994a}

(with A. McNabb) Diffusion and the torsion parameter. J. Australian Math. Soc., 35B, 289-301.

{1993a}

(with B. Calvert) Braess's paradox and power-law nonlinearities in networks. Jnl of the Australian Math. Soc., 35B, 1-22.
Click for the Postscript gzip-ed or raw.

{1993b}

(with A. McNabb) Functions with constant Laplacian satisfying homogeneous Robin boundary conditions. I.M.A. Jnl of Applied Mathematics, 50, 205-224.
pdf

{1993c}

(with A. McNabb) The elastic torsion problem: solutions in convex domains. N.Z. Journal of Mathematics, 22, 43-64.
Click for the Postscript gzip-ed or raw.

{1990a}

The persistence of log-concavity of positive solutions of the one-dimensional heat equation. J. Australian Math. Soc., 48A, 246-263.
anziamj source
Local copy: Click for the Postscript gzip-ed or raw.

{1990b}

The Dupuit approximation for the rectangular dam problem. I.M.A. Jnl of Applied Maths, 44, 243-260.
pdf from IMA
Local copy: Click for the Postscript gzip-ed or raw.

{1989}

(with I. Stakgold) Some geometric properties of solids in combustion. Pp 137-151 in Geometry of solutions of PDE: Proceedings of the Cortona Meeting, June 1988, of the Instituto Nazionale di Alta Matematica Francesco Severi, ``Symposia Mathematica" series, vol XXX. Ed. G Talenti. (Academic Press.)
Click for the Postscript of Research Report version gzip-ed or raw.

{1987}

(with P.E. Kloeden) An elliptic boundary-value problem with a discontinuous nonlinearity, Part II. Proc. Roy. Soc. Edinburgh, 105A, 23-36.

{1985a}

Asymptotic estimates for symmetric vortex streets. J. Australian Math. Soc., 26B, 487-502.

{1985b}

Power concavity of solutions of some semilinear elliptic boundary-value problems. Bull. Australian Math. Soc., 31, 181-184.

{1984}

A semilinear elliptic boundary-value problem describing small patches of vorticity in an otherwise irrotational flow. Pp 123-132 in Proc. Miniconference on nonlinear analysis, Centre for Mathematical Analysis A.N.U. Canberra, eds N.S. Trudinger and G. Williams.

{1982}

(with J. Norbury) Domain comparison theorems for flows with vorticity. Quart. J. Mech. Appl. Math., 35, 17-32.
pdf, from QJMAM

{1981}

An elliptic boundary-value problem with a discontinuous nonlinearity. Proc. Roy. Soc. Edinburgh, 91A, 161-174.

{1980a}

(with J. Norbury) A semilinear elliptic eigenvalue problem, Part I, Existence and uniqueness. Proc. Roy. Soc. Edinburgh, 87A, 65-82.

{1980b}

(with J. Norbury) A semilinear elliptic eigenvalue problem, Part II, The plasma problem. Proc. Roy. Soc. Edinburgh, 87A, 83-109.

{1978a}

(with J. Norbury) Waves and conjugate streams with vorticity. Mathematika, 25, 129-150.

{1978b}

(with J. Norbury) On the existence theory for irrotational water waves. Math. Proc. Camb. Phil. Soc., 83, 137-157.
Proc. Camb. Phil. Soc. (2008: back issues not this far back)

{1975a}

(with J. Norbury) The jet from a horizontal slot under gravity. Proc. Roy. Soc. A, 344, 471-487.
Available through JSTOR

{1975b}

(with J. Norbury) Water waves and conjugate streams. J. Fluid Mech., 70, 663-371. JFM Digital Archive

{1974}

(with W.G. Pritchard) Bounds for surface solitary waves. Proc. Camb. Phil. Soc., 76, 345-358.
Proc. Camb. Phil. Soc. (2008: back issues not this far back)

{1973}

The jet from a slot at large Froude number. Proc. Camb. Phil. Soc., 73, 515-529.
Proc. Camb. Phil. Soc. (2008: back issues not this far back)

{1971}

Upstream influence in a two-fluid system. J. Fluid Mech., 49, 373-384. JFM Digital Archive

PUBLICATIONS, CA for Fortran/C code generation,
CA links to numerics, etc.

{1998c}

(with E. Hawkes) Inflation of a rubber disk: numerics using NAG d02raf. InterCall Manual and Examples Collection. Ed. P. Abbott and M. Trefry.
Click for the electronic book in Mathematica 3 format, or here in Mathematica 2.2 Notebook accepted in 1996.

{1995b}

(with E. Hawkes) Two more links to NAG numerics involving CA systems. In the Electronic Proceedings of the IMACS Conference on Applications of Computer Algebra, University of New Mexico, May 1995. http://math.unm.edu/aca.html
Click for the raw Postscript

{1994b}

(with G. Nolan) Production of Argument SubPrograms in the Axiom-NAG link: examples involving nonlinear systems. Pp 13-32 in Proceedings of the Workshop on Symbolic and Numeric Computation, Helsinki, May 1993. (Ed. H. Apiola, M. Laine and E. Valkeila). Rolf Nevanlinna Research Report series, B10, Jan 94.
Click for the Postscript gzip-ed or raw.

{1993d}

(with M.G. Richardson) An application of IRENA to systems of nonlinear equations arising in equilibrium flows in networks. Pp 311-320 in Proceedings of the Symposium on Symbolic and Algebraic Computing, ISSAC '93. % Kiev, July 1993 (Ed. M. Bronstein). ACM, 1993. Click for the Postscript gzip-ed or raw.

{1992}

FORTRAN subroutines produced from Computer Algebra systems: using GENTRANs from REDUCE and from Macsyma. Pp 265-272 in Proceedings CTAC-91. Computational Techniques and Applications Conference, Adelaide, July 1991,} ed. J. Noye, B. Benjamin and L. Colgan.
Click for the Postscript gzip-ed or raw.

{1991}

(with K. Broughan) Numlink and Naglink: links to the NAG library from SENAC and Macsyma. Pp 19-34 in Proceedings of the Workshop on Symbolic and Numeric Computation, Helsinki 1991. (Ed. H. Apiola, M. Laine and E. Valkeila). Research Report series, Computing Centre of Helsinki University.
Click for the Postscript gzip-ed or raw.

{1991}

(with K.Broughan, T.Robb, M.Richardson and M.Dewar) Some symbolic computing links to the NAG numeric library. SIGSAM Bulletin, 25 (no. 3, July 1991), 28-37.
Click for the Postscript gzip-ed or raw.

THE ITEMS BELOW WERE EITHER UNREFEREED, CONFERENCE PROCEEDINGS, OR POPULARISATIONS, REVIEWS, ETC.

{2006z}

(with Gary FitzGerald, Greg Gamble and Chris Sangwin) Computer Aided Assessment in mathematical sciences. Pages 69-73 in Proceedings of the UniServe Science Conference, `Assessment in Science Teaching and Learning', Sep 28 2006.
ISBN: 1 86487 865 7, Publisher: UniServe Science Uni of Sydney
A local copy is available from here

{2006y}

Review: R.Lopez "Advanced Engineering Mathematics with Maple" ebook Gazette of the Australian Mathematical Society, 33 (1), 62.
A local copy is here (pdf)
See also 2001z.

{2006x}

(with Gary FitzGerald) Maple 'down-under' in Engineering Mathematics Education. ATCM 05. (Asian Technology Conference in Mathematics, Korea National University of Education, December 2005).
Further details on ATCM and CAA.
Biographies of contributors

{2003z}

(with Greg Gamble) "Review of MapleNet and Maplets under Maple 8". May 2003 issue of LTNS Maths, Stats and OR Network Newsletter. Perth copy.

{2003y}

(with Kevin Judd and Greg Gamble) "A tale of one city, and two CAA systems". Jan 2003 issue of LTNS Maths, Stats and OR Network Newsletter, CAA Series. (CAA=Computer Aided Assessment) Perth copy.

{2002z}

"Review of Anton and Rorres, 'Elementary Linear Algebra - Applications Version', 8th ed., and Wiley's electronic supplements' ". Nov 2002 issue of LTNS Maths, Stats and OR Network Newsletter. local copy

{2002y}

"Review of Maplets (under Maple7)". May 2002 issue of LTNS Maths, Stats and OR Network Newsletter.

{2001z}

Review: R.Lopez "Advanced Engineering Mathematics", book and CD-ROM. Gazette of the Australian Mathematical Society, 28(3), 160-162.
Available here as dvi file.
See also 2006y.

{1998z}

Review: Maple V Release 5. Gazette of the Australian Mathematical Society, 25(1), 32-36.
Available here as LaTeX file.

{1997z}

(with D. Hill) Review: MathView . CTI-Math Newsletter. (Nov. 97.)

{1996z}

Review: Maple Vr4 Student Edition for the Mac. CTI-Math Newsletter. (Nov. 96.)
A local copy of a text-file version is here.

{1995z}

(with N. Fowkes and J.Ward) Interactive maths texts from Computer Algebra Systems: use in teaching engineering students. Pp 137-144 of Vol 2 of Proceedings of the Australian Computers in Education Conference, Perth, July 9-13, 1995. Ed. R. Oliver and M. Wyld. Published by ECAWA: Perth. (ISBN 1 875534 10 5)
Click for html-format version.

{1993z}

(with S. Fitzpatrick) Review of Maple 5.0 for the Mac. Wheels for the Mind, the Newsletter of the Australasian Macintosh Consortium, 3 \#1 (1993), 40-44.

{1992z}

Book review of M. Mignotte, ``Mathematics for Computer Algebra", N.Z. Math. Soc. Newsletter, 55, Aug. 1992, 19.

{1991x}

Book review of D.F. Lawden, ``Elliptic functions and applications" (Springer 1989) N.Z. Math. Soc. Newsletter, 51, Apr. 1991, 16-20.

{1991y}

Book reviews of Computer Algebra books (1) by Davenport, (2) by Akritas and (3) by Zippel and (4) by MacCallum and Wright. Gazette of the Australian Mathematical Society, 18 (1991), 45-52.

{1991z}

(with B.P. Murphy and J.E. Klobas) Spreadsheet statistics for teaching and production. Pp 114-120 in, The Proceedings of the 3rd International Conference on Teaching Statistics, Dunedin, August 1990}. (Refereed, but I was a junior author.)

{1990z}

Book review of H.B. Keller, ``Lectures on numerical methods in bifurcation problems". N.Z. Math. Society Newsletter, August 1990, pp14-15.

{1989z}

Recent developments concerning TeX on the Mac. Wings for the Mind, the Newsletter of the Australasian Macintosh Consortium, August 1989.

{1988z}

Review of Maple 4. Wings for the Mind, the Newsletter of the Australasian Macintosh Consortium, July 1988.

My Erdos number is at most 4. Details here.

~berwin/pub2001-6.html

~berwin/pub2007.html

Various research reports are available from here

Click here to go to G.Keady's homepage.

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