Abbott's Publications

Publications

Books

A3: Edited Book

Miyaji C and Abbott P C 2001 MathLink: Network Programming with Mathematica Cambridge University Press, ISBN 0-521-64172-1 (hardback), 0-521-64598-0 (paperback)
Trefry M G and Abbott P C 1998 The InterCall Book Analytica, ISBN 0-646-35666-6

Journal Articles

C1: Refereed Article

Abbott P C 2007 Asymptotic expansion of the Keesom integral J Phys A 40 8599-8600
Falloon P E, Abbott P C, and Wang J B 2003 Theory and Computation of the Spheroidal Wave Functions J Phys A 36 5477-5495
Parkes E J, Duffy B R, and Abbott P C 2002 The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations Phys Lett A 295 280-286
McCarthy S A, Wang J B, and Abbott P C 2001 Electronic structure calculation for N-electron quantum dots Computer Physics Communications 141 175-204
Abbott P C 2000 Generalized Laguerre polynomials and quantum mechanics J Phys A 33 7659-7660
Maslen M and Abbott P C 2000 Automation of the Lifting Factorisation of Wavelet Transforms Computer Physics Communications 127 309-326
Hurley A C, Moodie A F, Johnson A W S, and Abbott P C 1999 The Role of Projection Operators in the Theory of N-Beam Diffraction and the Inversion of Three-Beam Elastic Scattering Intensities Acta Cryst. A 55 216-219
Wang J B, Abbott P C, and Williams, J F 1996 Visualizing Atomic Orbitals Computers in Physics 10 69-82
Rowe A and Abbott P C 1995 Daubechies Wavelets and Mathematica Computers in Physics 9 635-648
Abbott P C and Maslen E N 1987 Coordinate systems and analytic expansions for 3-body atomic wavefunctions I:Partial summation for the Fock expansion in hyperspherical coordinates J Phys A 21 2043-2075
Gottschalk J E, Abbott P C and Maslen E N 1987 Coordinate systems and analytic expansions for 3-body atomic wavefunctions II:Complete reduction to second order J Phys A 21 2077-2104
Abbott P C and Maslen E N 1986 A model wavefunction including electron correlation for the ground state of the helium isoelectronic sequence J Phys B 19 1595-1605
Abbott P C and Maslen E N 1984 Expansion of two-body potentials in hyperspherical harmonics J Phys B 17 L489-491

C3: Non-refereed Article

Abbott P C 2004 Software Challenges and Solutions supplement to the June 2004 issue of Physics World (edited by Dens Milne) Institute of Physics Publishing, Bristol, 17(6):11
Abbott P C 1996 Mathematica Chapter 40 of Handbook of Software for Scientists and Engineers (edited by Paul Ross), CRC Press, Florida, 926-962
Abbott P C 1994 A Problem From Quantum Theory in Orthogonal Polynomials and Special Functions (OPSF) Newsletter 4(4):9-10
Abbott P C 1993 Harmonic Function Theory in Notices of the American Mathematical Society 40(9):1212-1215
Abbott P C 1992 Maple V Mathematica in Notices of the American Mathematical Society 39(8):829-839

The Mathematica Journal

I have been involved with The Mathematica Journal (Wolfram Media, ISSN 1047-5974) since its inception in 1990, firstly as Technical Editor, then as a Contributing Editor (until 1997), and now has a columnist. I write columns that appear in each quarterly issue. This Journal covers applications of Mathematica to all the quantitative sciences.

Abbott P C 2007 Tricks of the Trade in The Mathematica Journal, Wolfram Media, Beck (ed.), 10(3): 462-468
Abbott P C 2006 In and Out in The Mathematica Journal, Wolfram Media, Beck (ed.), 10(2): 290-302
Abbott P C 2005 Tricks of the Trade in The Mathematica Journal, Wolfram Media, Beck (ed.), 9(3): 520-527, 9(4): 684-698
Abbott P C 2005 In and Out in The Mathematica Journal, Wolfram Media, Beck (ed.), 9(3): 528-540, 9(4): 699-712
Abbott P C 2004 Tricks of the Trade in The Mathematica Journal, Wolfram Media, Beck (ed.), 9(2): 281-297
Abbott P C 2004 In and Out in The Mathematica Journal, Wolfram Media, Beck (ed.), 9(2): 298-313
Abbott P C 2003 Tricks of the Trade in The Mathematica Journal, Wolfram Media, Beck (ed.), 9(1): 31-39
Abbott P C 2003 In and Out in The Mathematica Journal, Wolfram Media, Beck (ed.), 9(1): 40-48
Abbott P C 2002 Tricks of the Trade in The Mathematica Journal, Wolfram Media, Beck (ed.), 8(3): 383-395, 8(4): 516-522
Abbott P C 2002 In and Out in The Mathematica Journal, Wolfram Media, Beck (ed.), 8(3): 396-408, 8(4): 523-531
Abbott P C 2001 Tricks of the Trade in The Mathematica Journal, Wolfram Media, Philips (ed.), 8(1): 27-36
Abbott P C 2001 In and Out in The Mathematica Journal, Wolfram Media, Philips (ed.), 8(1): 37-40
Abbott P C 2000 Tricks of the Trade in The Mathematica Journal, Wolfram Media, Philips (ed.), 7(4): 434-447
Abbott P C 2000 In and Out in The Mathematica Journal, Wolfram Media, Philips (ed.), 7(4): 448-455
Abbott P C 1999 Tricks of the Trade in The Mathematica Journal, Wolfram Media, Philips (ed.), 7(3): 253-264
Abbott P C 1999 In and Out in The Mathematica Journal, Wolfram Media, Philips (ed.), 7(3): 265-278
Abbott P C 1998 Tricks of the Trade in The Mathematica Journal, Wolfram Media, Grohens and Springer (eds.), 7(2):105-127
Abbott P C 1998 In and Out in The Mathematica Journal, Wolfram Media, Grohens and Springer (eds.), 7(2):128-141
Abbott P C 1997 In and Out in The Mathematica Journal, Miller-Freeman, Petersen (ed.), 7(1):24-30
Abbott P C 1997 Tricks of the Trade in The Mathematica Journal, Miller-Freeman, Petersen (ed.), 7(1):14-22
Abbott P C 1996 In and Out in The Mathematica Journal, Miller-Freeman, Petersen (ed.), 6(1):18-21, 6(2):18-25, 6(3):14-21, 6(4):10-16
Abbott P C 1996 Tricks of the Trade in The Mathematica Journal, Miller-Freeman, Petersen (ed.), 6(1):22-30, 6(2):26-31, 6(3):22-27, 6(4):17-26
Abbott P C 1995 In and Out in The Mathematica Journal, Miller-Freeman, Petersen (ed.), 5(1):12-19, 5(2):20-25, 5(3):20-24, 5(4):22-26
Abbott P C 1995 Tricks of the Trade in The Mathematica Journal, Miller-Freeman, Petersen (ed.), 5(1):20-23, 5(2):2-5, 5(3):12-17, 5(4):27-34
Abbott P C 1994 In and Out in The Mathematica Journal, Miller-Freeman, Petersen (ed.), 4(1):28-37, 4(2):20-22, 4(3):26-33, 4(4):20-25
Abbott P C 1994 Tricks of the Trade in The Mathematica Journal, Miller-Freeman, Petersen (ed.), 4(1):38-43, 4(2):23-31, 4(3):34-41, 4(4):12-17
Abbott P C 1993 In and Out in The Mathematica Journal, Miller-Freeman, Petersen (ed.), 3(1):14-17, 3(2):18-25, 3(3):19-22, 3(4):14-17
Abbott P C 1993 Tricks of the Trade in The Mathematica Journal, Miller-Freeman, Petersen (ed.), 3(1):18-22, 3(2):26-30, 3(3):23-28, 3(4):18-29
Abbott P C 1992 In and Out in The Mathematica Journal, Miller-Freeman, Zeichick (ed.), 2(2):41-43, 2(3):37-41, 2(4):30-33
Abbott P C 1992 Tricks of the Trade in The Mathematica Journal, Miller-Freeman, Zeichick (ed.), 2(2):35-40, 2(3):29-36, 2(4):34-41
Abbott P C and Levy S 1992 Mathematica One Liners in The Mathematica Journal, Miller-Freeman, Zeichick (ed.), 2(1):45-47
Abbott P C and Levy S 1992 In and Out in The Mathematica Journal, Miller-Freeman, Zeichick (ed.), 2(1):48
Abbott P C and Levy S 1991 Tricks of the Trade in The Mathematica Journal, Miller-Freeman, Zeichick (ed.), 2(1):49-51
Abbott P C and Levy S 1991 Mathematica One Liners in The Mathematica Journal, Addison-Wesley, Levy (ed.), 1(3):56-57, 1(4):45-46
Abbott P C and Levy S 1991 In and Out in The Mathematica Journal, Addison-Wesley, Levy (ed.), 1(3):58-59
Levy S and Abbott P C 1991 Tricks of the Trade in The Mathematica Journal, Addison-Wesley, Levy (ed.), 1(3):60-62, 1(4):47-49
Abbott P C 1990 Mathematica One Liners in The Mathematica Journal, Addison-Wesley, Levy (ed.), 1(1):22-23, 1(2):38-39
Abbott P C 1990 In and Out in The Mathematica Journal, Addison-Wesley, Levy (ed.), 1(1):24-29, 1(2):40-41
Smith C and Abbott P C 1990 Manipulating Polygons in The Mathematica Journal, Addison-Wesley, Levy (ed.), 1(1):32-33

Conference Publications

E1: Full written paper—refereed

Abbott P C 2007 On the Perimeter of an Ellipse in Proceedings of the eighth International Mathematica Symposium (IMS'06), Ed Yves Papegay, INRIA, Rocquencourt, France, ISBN 2-7261-1289-7
Gutiérrez J M, Cofiño, A S, and Abbott P C 2003 Linguistic Fractal Analysis of Symbolic Sequences in Proceedings of the fifth International Mathematica Symposium (IMS'03), Eds Peter Mitic, Philip Ramsden, and Janet Carne, Imperial College Press, ISBN 1-86094-363-2
Hines C, McCarthy S A, Wang JB, and Abbott P C 2002 Electronic structure of quantum dots in Proceedings of the 2002 International Conference on Computational Nanoscience and Nanotechnology, Eds Matthew Laudon and Bart Romanowicz
Abbott P C 1997 Mathematica and Physics in Computational Physics, Eds Henry J. Gardner and Craig M. Savage, Proceedings of the Ninth Physics Summer School, World Scientific, ISBN 981-02-3058-3, 11-21
Abbott P C 1997 Teaching Mathematics Using Mathematica in Proceedings of the Second Asian Technology Conference in Mathematics (ATCM'97), Eds Wei-Chi Yang and Yahya bin Abu Hassan, Universiti Sains Malaysia, ISBN 983-9700-46-4, 24-40. Also available in PDF format in the Electronic Proceedings of ATCM'97
Keady G and Abbott P C 1996 Tables of stress and strain—the elastic torsion problem—in a CAS in Proceedings of the Australian Engineering Mathematics Conference, 387-392
Abbott P C 1995 Teaching Simulation, Visualization, and Modeling Using Mathematica in Proceedings of the First Asian Technology Conference in Mathematics (ATCM'95), Ed Fong Ho Kheong, ISBN 981-3025-06-9, 262-271
Abbott P C 1994 InterCall—Linking Mathematica and Numerical Routines in Proceedings of the Workshop on Symbolic and Numeric Computing, Helsinki University of Technology (Eds Apiola, H, Laine, M and Valkeila, E), 85-88
Abbott P C 1993 An Introductory Computational Physics Course in Proceedings of the first Australia Conference on Computers in University Physics Education, 14
Abbott P C 1993 Upgrading your Departmental Network in Proceedings of the first Australia Conference on Computers in University Physics Education, 67
Abbott P C 1992 Problem Solving Using Mathematica, in Proceedings of Programming Environments for High Level Scientific Problem Solving, Gaffney and Houstis (eds.), Proceedings of IFIP WG 2.5, North-Holland, 33-45
Abbott P C 1991 An Overview of Mathematica, in Computer Arithmetic Validated Computation and Mathematical Modelling, Kaucher (ed.), Proceedings of SCAN-90, Academic Press
Abbott P C 1990 Current Status and Future Directions of Mathematica, in Symbolic Computations and Their Impact on Mechanics, Noor, Elishakoff and Hulbert (eds.), American Society of Mechanical Engineers publication PVP - Vol. 205, 29-41

E2: Full written paper—non refereed proceedings

Abbott P C 2001 The Ins & Outs of Mathematica invited paper in Proceedings of the fourth International Mathematica Symposium (IMS'01), Eds Yoshihiko Tazawa, Susumu Sakakibara, Shinya Ohashi, Yashio Uemura, Tokyo Denki University Press. URL: http://www.sie.dendai.ac.jp/ims2001/
Abbott P C 2000 Mathematica Notebooks tutorial in the Electronic Proceedings of the Fifth Asian Technology Conference in Mathematics (ATCM'00), Eds Wei-Chi Yang, Sung-Chi Chu, and Jen-Chung Chuan, Chiang Mai University.
Abbott P C 1999 Mathematica Programming tutorial in the Electronic Proceedings of the Fourth Asian Technology Conference in Mathematics (ATCM'99), Eds Wei-Chi Yang and Dongming Wang, Guangzhou Normal University.
Abbott P C 1999 Formatting Technical Papers using Mathematica tutorial in the Electronic Proceedings of the Fourth Asian Technology Conference in Mathematics (ATCM'99), Eds Wei-Chi Yang and Dongming Wang, Guangzhou Normal University.
Abbott P C 1999 Scientific Publishing—Formatting Technical Papers invited tutorial at the International Mathematica Symposium (IMS'99), RISC
Abbott P C 1998 Introduction to Mathematica Graphics in Course Notes, Proceedings of the 1998 Worldwide Mathematica Conference. [148 kBytes]
Abbott P C 1998 Applications of Mathematica Graphics in Course Notes, Proceedings of the 1998 Worldwide Mathematica Conference. [167 kBytes]
Abbott P C 1998 Formatting Technical Papers in Course Notes, Proceedings of the 1998 Worldwide Mathematica Conference. [129 kBytes]. For an example of a formatted technical paper, see the N-Beam Diffraction paper. [432 kBytes]
Abbott P C 1992 Taking Advantage of the Notebook Front End in Course Notes, Proceedings of the 1992 Mathematica Conference.
Abbott P C 1992 Applications of Mathematica in Elementary Tutorial Notes, Proceedings of the 1992 Mathematica Conference.
Abbott P C 1991 Introduction to Mathematica in Elementary Tutorial Notes, Proceedings of the 1991 Mathematica Conference.
Abbott P C 1990 Applications Survey in Elementary Tutorial Notes, Proceedings of the 1990 Mathematica Conference.

E4: Edited Proceedings

Abbott P C 2007 Proceedings of the Seventh International Mathematica Symposium (IMS'05), Part 2, in The Mathematica Journal, Wolfram Media, Abbott (ed.), 10(3): 474-616
Abbott P C 2006 Proceedings of the Seventh International Mathematica Symposium (IMS'05), Part 1, in The Mathematica Journal, Wolfram Media, Abbott (ed.), 10(2): 328-441
Abbott P C and McCarthy S A 2005 Applied Mathematica: Electronic Proceedings of the seventh International Mathematica Symposium (IMS'05), Champaign: Wolfram Media, Inc., ISBN 1-57955-050-9.

Computer Software

G1: Commercial software

Abbott P C, Wellin P, Collier I, Kaiping J, Kuzniarek A and Novak J 1999 Calculus Live, Wiley, New York, ISBN 0-471-31788-8

Theses

PhD

Nick O'Toole 1999 Physical Properties from X-Ray Diffraction Data

MSc

Peter Falloon 2002 Theory and Computation of Spheroidal Harmonics with General Arguments

Honours

Ray Veldkamp 2006 Series Methods in Quantum Mechanics
Neil Rabinowitz 2004-2005 Emergence: an algorithmic formulation
James Gilmore 2003 Application of Green's Functions to Atomic Systems
Simone McCallum 2003 Several Approaches to the Analytic Solution of Fluid Streamline Equations for Subsurface Flow
Giulia Harris 2000 Partitioned Transport in Laminates: Two Dimensional Analytic Solution via Symbolic Computation
Abigail Klopper 2000 Birds of a Feather: Finite Size Effects and Critical Phenomena in Flock Dynamics
Shane McCarthy 2000 Calculation of the Electronic Structure of N-Electron Quantum Dots using the Hartree-Fock Method
Peter Falloon 1999 Hybrid Symbolic/Numeric Computation of Spheroidal Harmonics and Application to the Hydrogen Molecular Problem
John Bongiovanni 1999 Parallelised Numeric Solutions for Mixed Domain Problems
Mark Maslen 1997 Wavelet Transforms via Lifting
David Whyte 1997 Partitioned Transport in Laminates:Solution via Symbolic Computation
Alistair Rowe 1994 Applications of Wavelets
Ainslie Yuen 1993 Self Organised Criticality