Profiles

David Elliott

UTAS Home Emeritus Prof David Elliott

David Elliott

Emeritus Professor

Room 347 , Maths-Physics Building

+61 3 6226 2442 (phone)

+61 3 2662 2867 (fax)

David.Elliott@utas.edu.au

View more on Professor David Elliott in WARP

Fields of Research

  • Numerical analysis (490302)
  • Ordinary differential equations, difference equations and dynamical systems (490409)
  • Numerical solution of differential and integral equations (490303)
  • Operator algebras and functional analysis (490408)
  • Algebra and number theory (490401)
  • Particle physics (510703)
  • Theoretical and applied mechanics (490109)
  • Other physical sciences (519999)
  • Mathematical aspects of classical mechanics, quantum mechanics and quantum information theory (490203)
  • Approximation theory and asymptotic methods (490101)

Research Objectives

  • Expanding knowledge in the mathematical sciences (280118)
  • Expanding knowledge in the physical sciences (280120)

Publications

Total publications

27

Journal Article

(27 outputs)
YearCitationAltmetrics
2016Elliott D, Johnston BM, Johnston PR, 'The method of steepest descent for estimating quadrature errors', Journal of Computational and Applied Mathematics, 303 pp. 93-104. ISSN 0377-0427 (2016) [Refereed Article]

DOI: 10.1016/j.cam.2016.02.028 [eCite] [Details]

Citations: Scopus - 2Web of Science - 1

Tweet

2015Elliott D, Johnston BM, Johnston PR, 'A complete error analysis for the evaluation of a two-dimensional nearly singular boundary element integral', Journal of Computational and Applied Mathematics, 279 pp. 261-276. ISSN 0377-0427 (2015) [Refereed Article]

DOI: 10.1016/j.cam.2014.11.015 [eCite] [Details]

Citations: Scopus - 3Web of Science - 3

Tweet

2014Elliott D, 'The compactness of a weakly singular integral operator on weighted Sobolev spaces', Journal of Integral Equations and Applications, 26, (4) pp. 483-496. ISSN 0897-3962 (2014) [Refereed Article]

DOI: 10.1216/JIE-2014-26-4-483 [eCite] [Details]

Tweet

2013Johnston BM, Johnston PR, Elliott D, 'A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method', Journal of Computational and Applied Mathematics, 245 pp. 148-161. ISSN 0377-0427 (2013) [Refereed Article]

DOI: 10.1016/j.cam.2012.12.018 [eCite] [Details]

Citations: Scopus - 64Web of Science - 48

Tweet

2013Johnston PR, Johnston BM, Elliott D, 'Using the iterated sinh transformation to evaluate two dimensional nearly singular boundary element integrals', Engineering Analysis with Boundary Elements, 37, (4) pp. 708-718. ISSN 1873-197X (2013) [Refereed Article]

DOI: 10.1016/j.enganabound.2013.01.013 [eCite] [Details]

Citations: Scopus - 20Web of Science - 17

Tweet

2011Elliott D, Johnston PR, Johnston BM, 'Estimates of the error in Gauss-Legendre quadrature for double integrals', Journal of Computational and Applied Mathematics, 236, (6) pp. 1552-1561. ISSN 0377-0427 (2011) [Refereed Article]

DOI: 10.1016/j.cam.2011.09.019 [eCite] [Details]

Citations: Scopus - 8Web of Science - 7

Tweet

2009Delbourgo R, Elliott D, 'Inverse momentum expectation values for hydrogenic systems', Journal of Mathematical Physics, 50, (6) Article 062107. ISSN 0022-2488 (2009) [Refereed Article]

DOI: 10.1063/1.3141534 [eCite] [Details]

Citations: Scopus - 5Web of Science - 5

Co-authors: Delbourgo R

Tweet

2008Elliott D, Johnston BM, Johnston PR, 'Clenshaw-Curtis and Gauss-Legendre quadrature for certain boundary element integrals', SIAM Journal on Scientific Computing, 31, (1) pp. 510-530. ISSN 1064-8275 (2008) [Refereed Article]

DOI: 10.1137/07070200X [eCite] [Details]

Citations: Scopus - 6Web of Science - 6

Tweet

2008Elliott D, Johnston PR, 'Gauss-Legendre quadrature for the evaluation of integrals involving the Hankel function', Journal of Computational and Applied Mathematics, 211, (1) pp. 23-35. ISSN 0377-0427 (2008) [Refereed Article]

DOI: 10.1016/j.cam.2006.11.002 [eCite] [Details]

Citations: Scopus - 12Web of Science - 8

Tweet

2008Elliott D, Johnston PR, 'The iterated sinh transformation', International Journal for Numerical Methods in Engineering, 75, (1) pp. 43-57. ISSN 0029-5981 (2008) [Refereed Article]

DOI: 10.1002/nme.2244 [eCite] [Details]

Citations: Scopus - 31Web of Science - 28

Tweet

2007Elliott D, Johnston PR, 'Error analysis for a sinh transformation used in evaluating nearly singular boundary element integrals', Journal of Computational and Applied Mathematics, 203, (1) pp. 103-124. ISSN 0377-0427 (2007) [Refereed Article]

DOI: 10.1016/j.cam.2006.03.012 [eCite] [Details]

Citations: Scopus - 20Web of Science - 17

Tweet

2007Johnston BM, Johnston PR, Elliott D, 'A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals', International Journal for Numerical Methods in Engineering, 69, (7) pp. 1460-1479. ISSN 0029-5981 (2007) [Refereed Article]

DOI: 10.1002/nme.1816 [eCite] [Details]

Citations: Scopus - 96Web of Science - 82

Tweet

2005Johnston PR, Elliott D, 'A sinh tranformation for evaluating nearly singular boundary element integrals', International Journal for Numerical Methods in Engineering, 62, (4) pp. 564-578. ISSN 0029-5981 (2005) [Refereed Article]

DOI: 10.1002/nme.1208 [eCite] [Details]

Citations: Scopus - 106Web of Science - 93

Tweet

2004Elliott D, 'Sigmoidal-trapezoidal quadrature for ordinary and Cauchy principal value integrals', ANZIAM Journal, 46, (Electronic Supplement) pp. E1-E69. ISSN 1446-8735 (2004) [Refereed Article]

[eCite] [Details]

Citations: Scopus - 2

2004Elliott D, Okada S, 'The finite Hilbert transform and weighted Sobolov spaces', Mathematische Nachrichten, 266, (1) pp. 34-47. ISSN 0025-584X (2004) [Refereed Article]

DOI: 10.1002/mana.200310142 [eCite] [Details]

Citations: Scopus - 3Web of Science - 5

Tweet

2002Johnston PR, Elliott D, 'Transformations for evaluating singular boundary element integrals', Journal of Computational and Applied Mathematics, 146, (2) pp. 231-251. ISSN 0377-0427 (2002) [Refereed Article]

DOI: 10.1016/S0377-0427(02)00357-6 [eCite] [Details]

Citations: Scopus - 23Web of Science - 19

Tweet

2001Johnston PR, Elliott D, 'A generalisation of Telles' method for evaluating weakly singular boundary element integrals', Journal of Computational and Applied Mathematics, 131, (1) pp. 223-241. ISSN 0377-0427 (2001) [Refereed Article]

DOI: 10.1016/S0377-0427(00)00273-9 [eCite] [Details]

Citations: Scopus - 24Web of Science - 20

Co-authors: Johnston PR

Tweet

2000Johnston PR, Elliott D, 'Error estimation of quadrature rules for evaluating singular integrals in boundary element problems', International Journal for Numerical Methods in Engineering, 48, (7) pp. 949-962. ISSN 0029-5981 (2000) [Refereed Article]

DOI: 10.1002/(SICI)1097-0207(20000710)48:7<949::AID-NME905>3.3.CO;2-H [eCite] [Details]

Citations: Scopus - 24Web of Science - 23

Co-authors: Johnston PR

Tweet

1998Elliott D, 'The Euler-Maclaurin formula revisited', Journal of Australian Mathematical Society Series B Applied Mathematics, 40 pp. E27-E76. ISSN 0334-2700 (1998) [Refereed Article]

[eCite] [Details]

1998Elliott D, 'Sigmoidal transformations and the trapezoidal rule', Journal of Australian Mathematical Society Series B Applied Mathematics, 40 pp. E77-E137. ISSN 0334-2700 (1998) [Refereed Article]

[eCite] [Details]

1997Delbourgo R, Elliott D, McAnally D, 'Dimensional renormalization in phi(3) theory: Ladders and rainbows', Physical Review D, 55, (8) pp. 5230-5233. ISSN 0556-2821 (1997) [Refereed Article]

DOI: 10.1103/PhysRevD.55.5230 [eCite] [Details]

Citations: Scopus - 20Web of Science - 19

Co-authors: Delbourgo R

Tweet

1997Elliott D, 'The Cruciform Crack Problem and Sigmoidal Transformations', Mathematical Methods in Applied Sciences, 20, (2) pp. 121-132. ISSN 0170-4214 (1997) [Refereed Article]

DOI: 10.1002/(SICI)1099-1476(19970125)20:2<121::AID-MMA840>3.0.CO;2-7 [eCite] [Details]

Citations: Scopus - 23Web of Science - 22

Tweet

1997Elliott D, Lifanov IK, Litvinchuk GS, 'The Solution in a Class of Singular Functions of Cauchy Type Bisingular Integral Equations', Journal of Integral Equations and Applications, 9, (3) pp. 237-251. ISSN 0897-3962 (1997) [Refereed Article]

DOI: 10.1216/jiea/1181076014 [eCite] [Details]

Citations: Scopus - 2

Tweet

1997Elliott D, Venturino E, 'Sigmoidal transformations and the Euler-Maclaurin expansion for evaluating certain Hadamard finite-part integrals', Numerische Mathematik, 77, (4) pp. 453-465. ISSN 0029-599X (1997) [Refereed Article]

DOI: 10.1007/s002110050295 [eCite] [Details]

Citations: Scopus - 59Web of Science - 53

Tweet

1995Elliott D, '3 Algorithms for Hadamard finite-part integrals and fractional derivatives', Journal of Computational and Applied Mathematics, 62, (3) pp. 267-283. ISSN 0377-0427 (1995) [Refereed Article]

DOI: 10.1016/0377-0427(94)00113-5 [eCite] [Details]

Citations: Scopus - 13Web of Science - 9

Tweet

1995Elliott D, Prossdorf S, 'An algorithm for the approximate solution of integral equations of Mellin type', Numerische Mathematik, 70, (4) pp. 427-452. ISSN 0029-599X (1995) [Refereed Article]

DOI: 10.1007/s002110050127 [eCite] [Details]

Citations: Scopus - 29Web of Science - 25

Tweet

1994Delbourgo R, Elliott D, 'On the approximate evaluation of Hadamard finite-part integrals', IMA Journal of Numerical Analysis, 14, (4) pp. 485-500. ISSN 0272-4979 (1994) [Refereed Article]

DOI: 10.1093/imanum/14.4.485 [eCite] [Details]

Citations: Scopus - 11Web of Science - 8

Co-authors: Delbourgo R

Tweet

Grants & Funding

Funding Summary

Number of grants

3

Total funding

$342,351

Projects

Singular integral equations with shifts and complex conjugation (1994)$15,800
Funding
Australian Research Council ($15,800)
Scheme
Grant-Small
Administered By
University of Tasmania
Research Team
Elliott D
Year
1994
Constructive methods for singular integral and integrodifferential equations (1992 - 1994)$185,699
Funding
Australian Research Council ($185,699)
Scheme
Grant-Large
Administered By
University of Tasmania
Research Team
Elliott D; McLean W
Period
1992 - 1994
Grant Reference
A69131825
Approximation methods for singular integral equations (1989 - 1991)$140,852
Funding
Australian Research Council ($140,852)
Scheme
Grant-Large
Administered By
University of Tasmania
Research Team
Elliott D; Paget DF
Period
1989 - 1991
Grant Reference
A68831257

Research Supervision

Completed

1

Completed

DegreeTitleCompleted
PhDSingle Exponential Approximation of Fourier Transforms
Candidate: Patrick Daniel McLean
2006