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19962021

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Personal profile

Research interests

 Elena Vynogradova's research interests include analytical and numerical techniques for scattering and propagation of acoustic and electromagnetic waves. Scattering of waves is an ubiquitous phenomenon involving the transfer of energy and informaion without bulk motion. Many new and developing technologies - such as remote sensing, imaging radars, ultrasonic imaging, advanced telecommunications and laser applications - depend upon precise mathematical modelling and quantitative predictions that are reliable and robust. She has particular expertise in analytical regularisation and related semi-analytical, semi-numerical techniques in potential theory and diffraction. The aim of these high precision studies is the development of new techniques in modern applied mathematics, of physical and engineering relevance, and in which modelling, analysis and scientific computation play complementary roles.

Elena leads a group that is distinctive as the only southerm hemisphere group employing such analytical and semi-analytical methods in wave scattering. She is the co-author of a definitive two-volume monograph on these topics. Very favourable reviews appeared in both the applied mathematics and engineering literature, including SIAM Review 44(2), p.282-4, 2002 ('a very comprehensive reference work') and IEEE Antennas & Propagation Mag. 45(3), p. 120, 2003 ('an outstanding job of explaining new developments and refinements' and 'a major contribution to the archival literature'). She is regularly invited to speak at major conferences on these topics and is currently Guest Editor for a special issue of IET Microwave, Antennas and Propagation journal entitled the "Method of Analytical Regularisation for New Frontiers of Applied Electromagnetics”.

Elena Vynogradova is a member of the Australian Mathematical Society (AustMS) and the Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Society.

Research student supervision

Elena Vynogradova has supervised 6 PhD, 3 Master of Research and 2 Honours students to completion, including an unusually high number (4) of female PhD students in this discipline, one of whom received the Vice-Chancellor's award for her outstandingly excellent thesis. Elena's current PhD student is working on high precision predictions of propagation and radiation in closed and open waveguides of arbitrary cross-section.

Research engagement

Elena's international collaborators are drawn from the mathematical and eningeering communities in Japan, Ukraine, Sweden, Italy and Turkey. She has continuously engaged with these communities in high profile forums sponsored by the International Union of Radio Science (URSI) and other international bodies, including the URSI triennial General Assembly, the URSI Eletcromagnetic Theory Symposium, and the International Conference on Electromagnetics in Advanced Applications. She is a member of the organising committee for the URSI Asia-Pacific Radio Science Conference to be held in Sydney for the first time in Australia, in 2022.

Teaching

Since my appointment at MQ, I developed the following new courses which have strong nexus with my research. I have delivered them on a number of occasions as well as mentored staff who subsequently taught them. They include:

Fourier analysis (MATH232/2011);

Waves (MATH331);

Special functions (MATH335/3905);

Partial Differential Equations (MATH336/3906);

Special Topics in Mathematics, for the Bachelor of Advanced Science (MATH288 and MATH388);

and most recently in the current semester (2021), Applied Functional Analysis for the MRes in Mathematics (MATH7904).

As well as the standard undergraduate courses in mathematics, I have also taught important courses for supporting students with minimal backgrounds in mathematics, including Introduction to Mathematical Modelling (MATH1000.) It has been highly satisfying to have mentored a number of students who progressed from this most elementary starting point. to PhD/MRes level. In an exciting development in 2021, I am leading the development and incorporation of an AI learning and teaching approach for this cohort.

Biography

Elena Vynogradova (in publications Vinogradova) received M.Sc. degree from the Kharkov State University and Ph.D. degree from the Research Institute of Radiophysics and Electronics, Kharkov, Ukraine. In 1997 she was recipient of the Royal Society Postdoctoral Fellowship, UK and from 1997 to 2004 was working at the Department of Mathematics, University of Dundee, Scotland. In 2004 she joined the academic staff of the Department of Mathematics at Macquarie University, Australia.

Education/Academic qualification

HDR40, HDR40 HDR Supervision Reaccreditation 2020-2023, Macquarie University

30 Sep 2020

Award Date: 30 Sep 2020

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