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pro vyhledávání: '"Thomas M. Acho"'
Publikováno v:
Mathematical Medicine and Biology: A Journal of the IMA. 37:433-468
Acute lymphoblastic leukaemia (ALL) is associated with a compromised myeloid system. Understanding the state of granulopoiesis in a patient during treatment, places the clinician in an advantageous position. Mathematical models are aids able to prese
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce7d8abba75a477b1a63869ffd54499a
https://doi.org/10.1093/imammb/dqaa003
https://doi.org/10.1093/imammb/dqaa003
Autor:
Thomas M. Acho
Publikováno v:
Quarterly of Applied Mathematics. 65:375-383
Asymptotic solutions for the Sturm-Liouville boundary value problem with interior singularities were obtained using asymptotic forms of the Whittaker functions for higher order modes and the Titchmarsh-Weyl m-function for low order modes. However, th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53fb580b546b0e4aef52e632293b5376
https://doi.org/10.1090/s0033-569x-07-01048-7
https://doi.org/10.1090/s0033-569x-07-01048-7
Autor:
Thomas M. Acho, Dominic P. Clemence
Publikováno v:
The ANZIAM Journal. 43:479-491
Boundary value problems where resonance phenomena are studied are most often transformable to parameter dependent Sturm-Liouville (SL) eigenproblems with interior singularities. The parameter dependent Sturm-Liouville eigenproblem with interior poles
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3117a86dd7e7480e09d3c2142fd5e27d
https://doi.org/10.1017/s1446181100012098
https://doi.org/10.1017/s1446181100012098
Autor:
Thomas M. Acho
Publikováno v:
Quarterly of Applied Mathematics. 57:601-620
The scattered wave components of a plane polarized electromagnetic wave by an elliptic cylindrical scatterer are obtained as a parameter expansion of the more exact circular cylindrical obstacle. The scattering potential of a scalar wave by a hyperbo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cde2242edcf2ce75f4edef49ca1b213a
https://doi.org/10.1090/qam/1724295
https://doi.org/10.1090/qam/1724295
Autor:
Dominic P. Clemence, Thomas M. Acho
Publikováno v:
ZAMP Zeitschrift f�r angewandte Mathematik und Physik. 46:459-474
The self-adjoint Sturm-Liouville eigenproblem with an interior double pole and two simple turning points is examined. Using asymptotic forms of the Whittaker functions asymptotic dispersion relations are obtained for high modes; and on employing the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2f652670cac8992cbd709ed2546dce5a
https://doi.org/10.1007/bf01003562
https://doi.org/10.1007/bf01003562
Autor:
Thomas M. Acho
Publikováno v:
Quarterly of Applied Mathematics. 50:451-468
In this paper the scattering problem for the prolate spheroid, \[ Δ U p + k 2 U p = 0 \Delta {U_p} + {k^2}{U_p} = 0 \] , is solved by way of an asymptotic parameter expansion, where the spheroid is considered a perturbation of a sphere (which has an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b488b4150cde3b035a75df8a45e7d48
https://doi.org/10.1090/qam/1178427
https://doi.org/10.1090/qam/1178427
Autor:
Thomas M. Acho
Publikováno v:
Quaestiones Mathematicae; Vol 25, No 3 (2002); 275-287
Asymptotic solutions for the interior double pole Sturm-Liouville boundary value problem are obtained using a method of matched asymptotic approximations. Employing asymptotic forms of the Whittaker functions, the WKB approximations and Airy function
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6c465c9922f2d96d88c69f28ee21260c
https://www.ajol.info/index.php/qm/article/view/21663
https://www.ajol.info/index.php/qm/article/view/21663