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Paul Abbott

Professor, BSc PhD W.Aust.

  • The University of Western Australia (M013), 35 Stirling Highway, Room 4.65, Physics Building, Perth campus

    6009 Crawley

    Australia

  • 372 Citations
  • 8 h-Index
19922016

Research Output 1992 2015

2015
8 Citations

Stabilization of a dynamically unstable opto-thermo-mechanical oscillator

Weng, W., Anstie, J., Abbott, P., Fan, B., Stace, T. M. & Luiten, A. 1 Jun 2015 In : Physical Review A - Atomic, Molecular, and Optical Physics. 91, 6, p. 063801-1 - 063801-7

Research output: Contribution to journalArticle

Open Access
File
mechanical oscillators
stabilization
oscillations
calcium fluorides
frequency stability
2014
7 Citations

A finite difference construction of the spheroidal wave functions

Ogburn, D. X., Waters, C. L., Sciffer, M. D., Hogan, J. A. & Abbott, P. 2014 In : Computer Physics Communications. 185, 1, p. 244-253

Research output: Contribution to journalArticle

5 Citations

Computation of Nanowire Transport Properties

Raffah, B. M. & Abbott, P. 2014 In : Journal of Computational and Theoretical Nanoscience. 11, 1, p. 226-233

Research output: Contribution to journalArticle

2013
6 Citations

Efficient computation of Wigner-Eisenbud functions

Raffah, B. M. & Abbott, P. 2013 In : Computer Physics Communications. 184, p. 1581–1591

Research output: Contribution to journalArticle

Linearization of Operators

Abbott, P. 2013 In : Quantum Matter. 2, 5, p. 425-426

Research output: Contribution to journalReview article

Sums, Products, and the Zeta Function: Visualizing a $1,000,000 Problem

Abbott, P. 2013 Addressing Challenges of New Technology in Mathematics Instruction: Proceedings. Korea National University of Education, South Korea: ATCM-Korea, Vol. 1, p. 1

Research output: Chapter in Book/Report/Conference proceedingConference paper

2012
9 Citations

Saturation spectroscopy of iodine in hollow-core optical fiber

Lurie, A., Light, P., Anstie, J., Stace, T. M., Abbott, P., Benabid, F. & Luiten, A. 2012 In : Optics Express. 20, p. 12pp

Research output: Contribution to journalArticle

Schauder Coefficients for Daubechies Wavelets

Abbott, P. 2012 Proceedings of the 11th International Mathematica Symposium, (IMS 2012). University College London, UK: University College London, Vol. Electronic, p. 1-17

Research output: Chapter in Book/Report/Conference proceedingConference paper

2011
6 Citations

Water-table response to tidal forcing at sloping beaches

Roberts, M. E., Trefry, M. G., Fowkes, N., Bassom, A. & Abbott, P. 2011 In : Journal of Engineering mathematics. 69, 4, p. 291-311

Research output: Contribution to journalArticle

2010

Euler's disk: examples used in engineering and applied mathematics teaching

Abbott, P., Keady, G. & Tyler, S. J. 2010 In : Anziam Journal. 51, p. C360-C376

Research output: Contribution to journalArticle

Mathematics Teaching
Applied mathematics
Euler
Engineering
Motion

Frontiers of Fundamental and Computational Physics, 10th International Symposium

Hartnett, J. & Abbott, P. 2010 Perth, Western Australia ed. Melville, New York: American Institute of Physics.

Research output: Book/ReportEdited book/Anthology

2009

On the Perimeter of an Ellipse

Abbott, P. 2009 In : The Mathematica Journal. 11, 2, p. 172-185

Research output: Contribution to journalArticle

Ellipse
Perimeter
Elliptic integral of the second kind
Minimax Methods
Kepler
2008

Circular Prolate Spheroidal Functions: Numerical and Symbolic Computation

Falloon, P. & Abbott, P. 2008 eProceedings of the 9th International Mathematica Symposium (IMS'08). Eindhoven, the Netherlands: Technical University, Eindhoven, Vol. N/A Electronic Publication, p. N/A Electronic Publication

Research output: Chapter in Book/Report/Conference proceedingConference paper

2007
4 Citations

Asymptotic expansion of the Keesom integral

Abbott, P. 2007 In : Journal of Physics A: Mathematical and Theoretical. 40, p. 8599-8600

Research output: Contribution to journalArticle

Asymptotic Expansion
expansion
Laplace's Method
Asymptotic Behavior
evaluation

Tricks of the Trade

Abbott, P. 2007 In : The Mathematica Journal. 10, 3, p. 462-468

Research output: Contribution to journalArticle

2006

In and Out (1)

Abbott, P. 2006 In : The Mathematica Journal. 10, 2, p. 291-302

Research output: Contribution to journalArticle

2005

Applied Mathematica: Proceedings of the 7th International Mathematica Symposium

Abbott, P. & Mccarthy, S. 2005 Perth, WA ed. http://InternationalMathematicaSymposium.org/IMS2005/: Wolfram Media, Inc.

Research output: Book/ReportEdited book/Anthology

In and Out (a)

Abbott, P. 2005 In : The Mathematica Journal. 9, 4, p. 699-712

Research output: Contribution to journalArticle

In and Out (b)

Abbott, P. & Beck, G. (ed.) 2005 In : The Mathematica Journal. 9, 3, p. 528-540

Research output: Contribution to journalArticle

Tricks of the Trade

Abbott, P. 2005 In : The Mathematica Journal. 9, 4, p. 684-698

Research output: Contribution to journalArticle

2004

In and Out

Abbott, P. 2004 In : The Mathematica Journal. 9, 2, p. 299-300, 306-310

Research output: Contribution to journalArticle

Software Challenges and Solutions

Abbott, P. 2004 Physics World. Milne, D. (ed.). Institute of Physics Publishing, Bristol

Research output: Chapter in Book/Report/Conference proceedingOther chapter contribution

Tricks of the Trade

Abbott, P. 2004 In : The Mathematica Journal. 9, 2, p. 283-288

Research output: Contribution to journalArticle

2003
29 Citations

Linguistic Fractal Analysis of Symbolic Sequences

Gutierrez, J. M. & Abbott, P. 2003 Challenging the Boundaries of Symbolic Computation. Mitic, P., Ramsden, P. & Carne, J. (eds.). Imperial College London ed. London: Imperial College Press, Vol. N/A, p. 1-8

Research output: Chapter in Book/Report/Conference proceedingConference paper

59 Citations

Theory and computation of spheroidal wavefunctions

Falloon, P., Abbott, P. & Wang, J. 2003 In : Journal of Physics A: Mathematical and General. 36, 20, p. 5477-5495

Research output: Contribution to journalArticle

computer programs
Power Series Expansion
Software
Computer algebra system
Mathematica
2002

Electronic structure of quantum dots

Hines, C., Mccarthy, S., Wang, J. & Abbott, P. 2002 Technical Proceedings of the 2002 International Conference on Computational Nanoscience & Nanotechnology. Laudon, M. & Romano Wicz, B. (eds.). San Juan Puerto Rico, USA ed. USA: Computational Publications, Vol. 1, p. 201-204

Research output: Chapter in Book/Report/Conference proceedingConference paper

In and Out

Abbott, P. 2002 In : The Mathematica Journal. 8, 3, p. 96-408

Research output: Contribution to journalArticle

209 Citations

The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations

Parkes, E. J., Duffy, B. R. & Abbott, P. 2002 In : Physics Letters A. 259, p. 280-286

Research output: Contribution to journalArticle

nonlinear evolution equations
elliptic functions
automation
2001
10 Citations

Electronic structure calculation for N=electron quantum dots

Mccarthy, S., Wang, J. & Abbott, P. 2001 In : Computer Physics Communications. 141, p. 175-204

Research output: Contribution to journalArticle

MathLink: Network Programming with Mathematica

Miyaji, C. & Abbott, P. 2001 UK: University of Cambridge.

Research output: Book/ReportBook

The Ins & Outs of Mathematica

Abbott, P. 2001 Symbolic Computation: New Horizons. Tazawa, Y. (ed.). Chiba, Japan ed. Japan: Tokyo Denki University Press, Vol. NA, p. 001-10

Research output: Chapter in Book/Report/Conference proceedingConference paper

2000
12 Citations

Automation of the lifting factorisation of wavelet transforms

Maslen, M. J. & Abbott, P. 2000 In : Computer Physics Communications. 127, p. 309-326

Research output: Contribution to journalArticle

automation
Factorization
factorization
wavelet analysis
Wavelet transforms
8 Citations

Generalized Laguerre polynomials and quantum mechanics

Abbott, P. 2000 In : Journal of Physics A: Mathematical and Theoretical. 33, p. 7659-7660

Research output: Contribution to journalArticle

In and Out

Abbott, P. 2000 In : The Mathematica Journal. 7, 4, p. 448-455

Research output: Contribution to journalArticle

Tricks of the Trade

Abbott, P. 2000 In : The Mathematica Journal. 7, 4, p. 434-447

Research output: Contribution to journalArticle

1999

Calculus Live

Abbott, P., Wellin, P., Collier, I., Kaiping, J., Kuzniarek, A. & Novak, J. 1999

Research output: Non-textual formSoftware

Formatting Technical Papers Using Mathematica

Abbott, P. 1999 Proceedings of the Fourth Asian Technology Conference in Mathematics. Yang, W-C., Wang, D., Chu, S-C. & Fitz-Gerald, G. (eds.). Guangzhou, China ed. USA: Asian Technology Conference in Mathematics, Inc., USA, Vol. N/A, p. N/A - Electronic Proceedings

Research output: Chapter in Book/Report/Conference proceedingConference paper

Mathematica Programming

Abbott, P. 1999 Proceedings of the Fourth Asian Technology Conference in Mathematics. Yang, W-C., Wang, D., Chu, S-C. & Fitz-Gerald, G. (eds.). Guangzhou, China ed. USA: Asian Technology Conference in Mathematics, Inc., USA, Vol. N/A, p. N/A - Electronic Proceedings

Research output: Chapter in Book/Report/Conference proceedingConference paper

Elastic scattering
Physics
Electromagnetic compatibility
Electron diffraction
Diffraction patterns
1998

Computational Experiments using Mathematica

Abbott, P. 1998 13th National Congress of the Australian Institute of Physics. Perth, Western Australia ed. Perth, Western Australia: Australian Institute of Physics, Vol. N/A, p. 229

Research output: Chapter in Book/Report/Conference proceedingConference paper

Mathematica Graphics: An Introduction

Abbott, P. 1998 1998 Worldwide Mathematica Conference Proceedings. Young, A. (ed.). Chicago, USA ed. Champaign, Illinois, USA: Wolfram Research, Inc., Vol. N/A, p. N/A

Research output: Chapter in Book/Report/Conference proceedingConference paper

Mathematica Graphics: Applications

Abbott, P. 1998 1998 Worldwide Mathematica Conference Proceedings. Young, A. (ed.). Chicago, USA ed. Champaign, Illinois, USA: Wolfram Research, Inc., Vol. N/A, p. N/A

Research output: Chapter in Book/Report/Conference proceedingConference paper

Scientific Publishing: Formatting Technical Papers

Abbott, P. 1998 1998 Worldwide Mathematica Conference Proceedings. Young, A. (ed.). Chicago, USA ed. Champaign, Illinois, USA: Wolfram Research, Inc., Vol. N/A, p. N/A

Research output: Chapter in Book/Report/Conference proceedingConference paper

The InterCall Book

Trefry, M. G., Abbott, P. & Abbott, P. C. (ed.) 1998 N/A ed. Perth, Western Australia: Analytica International.

Research output: Book/ReportEdited book/Anthology

1997

Mathematica and Physics

Abbott, P. 1997 Proceedings of the Ninth Physics Summer School - Computational Physics. Gardner, H. J. & Savage, C. M. (eds.). Canberra, Australia ed. Singapore: World Scientific Publishing, Vol. n/a, p. 11-21

Research output: Chapter in Book/Report/Conference proceedingConference paper

Teaching Mathematics using Mathematica

Abbott, P. 1997 Proceedings of the Second Asian Technology Conference in Mathematics. Yang, W-C. & Hassan, Y. A. (eds.). Penang, Malaysia ed. Malaysia: Penerbit Universiti Sains Malaysia, Vol. n/a, p. 24-40

Research output: Chapter in Book/Report/Conference proceedingConference paper

1996

Mathematica

Abbott, P. 1996 The Handbook of Software for Scientists and Engineers. Ross, P. W. (ed.). Florida, USA: CRC Press, Vol. 1, p. 926-962

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

Tables of Stress and Strain - the Elastic Torsion Problem - in a CAS

Keady, G. & Abbott, P. 1996 Tables of Stress and Strain - the Elastic Torsion Problem - in a CAS. Yuen, W. Y. D., Broadbridge, P. & Steiner, J. M. (eds.). Sydney, NSW ed. Barton, A.C.T.: Engineers Australia, Vol. 1, p. 387-392

Research output: Chapter in Book/Report/Conference proceedingConference paper

Visualizing atomic orbitals

Wang, J., Abbott, P. & Williams, J. 1996 In : Computers in Physics. 10, 1, p. 69-82

Research output: Contribution to journalArticle

1995

Daubechies Wavelets and Mathematica

Rowe, A. & Abbott, P. 1995 In : Computers in Physics. 9, 6, p. 635-48

Research output: Contribution to journalArticle