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Profile

College / Department

College of Arts and Sciences
Department of Mathematics and Statistics

Teaching areas

Applied Mathematics, Partial Differential Equations, Real Analysis

Research areas

Partial differential equations with applications, calculus of variations, applied analysis

Education

PhD, University of Florida, USA, 2003

Professional experience

Adjunct, University of Florida, USA, 2003-2004 American University of Sharjah, UAE, 2004-current

Contact

twunderli@aus.edu
+971 6 515 2586

Dr. Thomas Wunderli

Associate Professor
PhD in Mathematics, University of Florida, USA

Thomas Wunderli has taught mathematics at American University of Sharjah since August 2004. His courses taught include upper division mathematics classes as well as graduate level courses in differential equations and partial differential equations. His areas of research and teaching interests include analysis, applied analysis and partial differential equations.

Publications

Wunderli, T. "Functionals on BV space with Caratheodory integrands using convex duality" accepted for publication( 11-11-2016) in International Journal of Pure and Applied Mathematics IJPAM, ISSN 1311-8080.
Wunderli, Thomas. "On Carathéodory Quasilinear Functionals for BV Functions and Their Time Flows for a Dual H¹ Penalty Model For Image Restoration." In Mathematics Across Contemporary Sciences, edited by Taher Abualrub et. al, chapter 15. Switzerland: Springer-Verlag, 2016.
Wunderli, Thomas. "On total variation flow in L^1 with L^infinity exponent and Neumann boundary conditions." In AIP Conf. Proc. 1648, 050004 (2015); http://dx.doi.org/10.1063/1.4912364.
Wunderli, Thomas. "Wunderli, T, Partial Regularity of Gradient Time Flows For Plasticity and Image Denoising Functionals with L^2 Penalty . AIP Conference Proceedings 1558, ISBN 978-0-7354-1184-5." In AIP Conference Proceedings 1558, ISBN 978-0-7354-1184-5.
Wunderli, Thomas. "On Total Variation Flows with H^-1 Penalty." In AIP Conference Proceedings http://proceedings.aip.org/dbt/dbt.jsp?KEY=APCPCS&Volume=1479&Issue=1.
Wunderli, Thomas. "Total Variation Time Flow with Quantile Regression for Image Restoration." Journal of Mathematical Analysis and Applications 403, no. 1 (February, 2013): 272-282. [Comment: ISSN# 0022-247X. ACCEPTANCE DATE: FEBRUARY, 2013. ]
Wunderli, Thomas. "Total Variation Time Flow with Quantile Regression for Image Restoration." Journal of Mathematical Analysis and Applications 403, no. 1 (2013): 272-282.
Thomas Wunderli, On time flows of minimizers of general convex functionals of linear growth with variable exponent in BV space and stability of pseudosolutions. Vol 364, Issue 2, 15 April, 2010,pp 591-598
Thomas Wunderli, A partial regularity result for an anisotropic smoothing functional for image restoration in BV space.Journal of Mathematical Analysis and Applications, Vol. 339, Issue 2, 15 March, 2008, pp. 1169-1178.
Y. Chen, M. Rao, Y. Tonegawa, T. Wunderli, Partial regularity for a selective smoothing functional for image restoration in BV space. SIAM J. Math. Anal. Vol. 37, No.4, pp. 1098-1118. December 30, 2005
Chen, Y. and Wunderli, T.,Adaptive Total Variation for Image Restoration in BV Space.Journal of Mathematical Analysis and Applications 272 (2002) 117-137.

Conference Presentations

UAE Math Day, 2015, Abu Dhabi, UAE
Presented at ICNAAM 2014 at Rhodes, Greece, 22-28 September, 2014:
Presented at ICNAAM 2013 at Rhodes, Greece, 20-27 September, 2013
Presented at ICNAAM 2012 at Kos, Greece, 19-25 September, 2012
Presented “Generalized Flows of ROF Models for Image Processing” at the International Conference on Applied Analysis and Algebra, held between June 29th and July 2nd 2011 in Istanbul, Turkey
Wunderli, Thomas. "On total variation flow in L^1 with L^infinity exponent and Neumann boundary conditions." In AIP Conf. Proc. 1648, 050004 (2015).
Wunderli, Thomas. "Wunderli, T, Partial Regularity of Gradient Time Flows For Plasticity and Image Denoising Functionals with L^2 Penalty . AIP Conference Proceedings 1558, ISBN 978-0-7354-1184-5." In AIP Conference Proceedings 1558, ISBN 978-0-7354-1184-5
Invited speaker at the at minisymposium on “Variational PDE’s in Image Analysis” at the SIAM/RSME-SCM-SEMA Meeting on Emerging Topics in Dynamical Systems and Partial Differential Equations to be held May 31-June 4 in Barcelona, Spain.
Invited speaker at the First Joint Meeting of the American Mathematical Society and Sociedade Brasileira de Matematica in Rio de Janeiro, Brazil, June 4-7, 2008. I presented Some partial regularity results for selective smoothing functionals in the space of bounded variation.

Awards and Honors

Faculty Research Grant, American University of Sharjah, Summer 2007

Other creative/research

Wunderli, Thomas. "On Carathéodory Quasilinear Functionals for BV Functions and Their Time Flows for a Dual H¹ Penalty Model For Image Restoration." In Mathematics Across Contemporary Sciences, edited by Taher Abualrub et. al,chapter 15. Switzerland: Springer-Verlag, 2016.

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