## eCite Digital Repository

# Author: Elliott, D (Professor David Elliott)

Number of items: **27**

Journal Article | |
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Elliott, D and Johnston, BM and 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] | |

Elliott, D and Johnston, BM and 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] | |

Elliott, 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] | |

Johnston, BM and Johnston, PR and 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] | |

Johnston, PR and Johnston, BM and 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] | |

Elliott, D and Johnston, PR and 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] | |

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, (1) 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, (Electronic Supplement) pp. E1-E69. ISSN 1446-8735 (2004) [Refereed Article] | |

Elliott, D and Okada, S, The finite Hilbert transform and weighted Sobolov spaces, Mathematische Nachrichten, 266, (1) 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, (2) 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, (7) 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. ISSN 0334-2700 (1998) [Refereed Article] | |

Elliott, 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] | |

Delbourgo, R and Elliott, D and 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] | |

Elliott, D and 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] | |

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

Elliott, D and 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] | |

Delbourgo, R and 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] |

This list was generated on **Thu May 23 10:09:42 2019**.