Author: Elliott, D (Professor David Elliott)

Number of items: 21

Journal Article

Delbourgo, R and Elliott, D, Inverse momentum expectation values for hydrogenic systems, Journal of Mathematical Physics, 50, (6) pp. 062107-1-062107-10. ISSN 0022-2488 (2009) [Refereed Article]
Elliott, D and Johnston, BM and 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]
Elliott, D and 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]
Elliott, D and Johnston, PR, The iterated sinh transformation, International Journal for Numerical Methods in Engineering, 75, (1) pp. 43-57. ISSN 0029-5981 (2008) [Refereed Article]
Johnston, BM and Johnston, PR and 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]
Elliott, D and Johnston, PR, Error analysis for a sinh transformation used in evaluating nearly singular boundary element integrals, Journal of Computational and Applied Mathematics, 203 pp. 103-124. ISSN 0377-0427 (2007) [Refereed Article]
Johnston, PR and 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]
Elliott, D, Sigmoidal-trapezoidal quadrature for ordinary and Cauchy principal value integrals, ANZIAM Journal, 46, (E) pp. ppE1-E69. ISSN 1446-1811 (2004) [Refereed Article]
Elliott, D and Okada, S, The finite Hilbert transform and weighted Sobolov spaces, Mathematische Nachrichten, 266 pp. 34-47. ISSN 0025-584X (2004) [Refereed Article]
Johnston, PR and Elliott, D, Transformations for evaluating singular boundary element integrals, Journal of Computational and Applied Mathematics, 146 pp. 231-251. ISSN 0377-0427 (2002) [Refereed Article]
Johnston, PR and 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]
Johnston, PR and Elliott, D, Error estimation of quadrature rules for evaluating singular integrals in boundary element problems, International Journal for Numerical Methods in Engineering, 48, (May) pp. 949-962. ISSN 0029-5981 (2000) [Refereed Article]
Elliott, D, Sigmoidal transformations and the trapezoidal rule, Journal of Australian Mathematical Society Series B Applied Mathematics, 40 pp. E77-E137. (1998) [Refereed Article]
Elliott, D, The Euler-Maclaurin formula revisited, Journal of Australian Mathematical Society Series B Applied Mathematics, 40 pp. E27-E76. (1998) [Refereed Article]
Delbourgo, R and Elliott, D and McAnally, DS, Dimensional renormalisation in [phi]³ theory: ladders and rainbows, Physics Review, 55D, (8) pp. 121-132. (1997) [Refereed Article]
Delbourgo, R and Elliott, D and McAnally, D, Dimensional renormalization in -3 theory: Ladders and rainbows, Physical Review D, 55, (8) pp. 5230-5233. ISSN 0000-0000 (1997) [Refereed Article]
Elliott, D and Venturino, E, Sigmoidal transformations and the Euler-Maclaurin expansion for evaluating certain Hadamard finite-part integrals, Numerische Mathematik, 77 pp. 453-465. (1997) [Refereed Article]
Elliott, D, The cruciform crack problem in sigmoidal transformations, Mathematical Methods in Applied Sciences, 20 pp. 121-132. (1997) [Refereed Article]
Elliott, D and Lifanov, IK and 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]
Elliott, D and Prossdorf, S, An algorithm for the approximate solution of integral equations of Mellin type., Numerische Mathematik, 70 pp. 427-452. (1995) [Refereed Article]
Elliott, D, Three Algorithms for Hadamard finite-part integrals and fractional derivatives, Journal of Computational and Applied Mathematics, 62 pp. 267-283. (1995) [Refereed Article]