{"id":8,"date":"2018-01-08T16:32:13","date_gmt":"2018-01-08T20:32:13","guid":{"rendered":"http:\/\/sites.nd.edu\/tingting-tang\/?page_id=8"},"modified":"2019-08-13T11:46:50","modified_gmt":"2019-08-13T15:46:50","slug":"research","status":"publish","type":"page","link":"https:\/\/sites.nd.edu\/tingting-tang\/research\/","title":{"rendered":"Research"},"content":{"rendered":"<h2>Research interests<\/h2>\n<nav>\n<ul>\n<li>Numerical methods for PDEs arising in biology.<\/li>\n<li>Continuous and discrete structured population models.<\/li>\n<li>Numerical optimization methods.<\/li>\n<\/ul>\n<\/nav>\n<h2>Publications<\/h2>\n<nav>\n<ul>\n<li>A. S. Ackleh, B. Ma and T. Tang, A high resolution finite difference method for a model of structured Susceptible-Infected populations coupled with the environment, Numerical Methods for Partial Differential Equations, 33(2017), 1420-1458.\u00a0<a href=\"http:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/num.22139\/epdf\">http:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/num.22139\/epdf<\/a><\/li>\n<li>A.S. Ackleh, R.A. Chiquet, B. Ma, T. Tang and H. Caswell, A. Veprauskas and N. Sidorovskaia, Analysis of Lethal and Sublethal Impacts of Environmental Disasters on Sperm Whales Using Stochastic Modeling, Ecotoxicology 26(2017), 820-830.\u00a0<a href=\"https:\/\/link.springer.com\/content\/pdf\/10.1007%2Fs10646-017-1813-4.pdf\">https:\/\/link.springer.com\/content\/pdf\/10.1007%2Fs10646-017-1813-4.pdf<\/a><\/li>\n<li>A.S. Aclkeh, H. Caswell, R. A. Chiquet, T. Tang and A. Veprauskas, Sensitivity analysis of the recovery time for a population under the impact of an environmental disturbance, Nature Resource Modeling,\u00a0<a href=\"https:\/\/doi.org\/10.1111\/nrm.12166\">Online Link<\/a><\/li>\n<li>A. S. Ackleh, K. L. Sutton, T. Tang and L. Zhao, A Second Order Finite Difference Scheme for a Variable Infection-Structured Model of Mycobacterium marinum Dynamics in Aquatic Animals, Journal of Nonlinear and Variational Analysis, 2(2018), 177-202. (<a href=\"http:\/\/sites.nd.edu\/tingting-tang\/files\/2018\/10\/JNVA2018-Reprint.pdf\">JNVA2018-Reprint<\/a>)<\/li>\n<li>Jonathan Hauenstein and Tingting Tang, On semidefinite programming under perturbations with unknown boundaries, submitted.<\/li>\n<li>A. Veprauskas, A.S. Ackleh and T. Tang, Examining the effect of reoccurring disturbances on population persistence with application to marine mammals,\u00a0 Journal of Theoretical Biology, 455(2018), 109-117.<a href=\"https:\/\/www.sciencedirect.com\/science\/authShare\/S0022519318303357\/20180720T061000Z\/1?md5=1caf53a102c8aa80f7792da8a501a57d&amp;dgcid=coauthor\">https:\/\/www.sciencedirect.com\/science\/authShare\/S0022519318303357\/20180720T061000Z\/1?md5=1caf53a102c8aa80f7792da8a501a57d&amp;dgcid=coauthor<\/a><\/li>\n<li>D. Mehta, T. Chen, T. Tang and J. Hauenstein. The Loss Surface Of Deep Linear Networks Viewed Through The Algebraic Geometry Lens. ArXiv(<a href=\"http:\/\/sites.nd.edu\/tingting-tang\/files\/2018\/10\/main.pdf\">main)<\/a><\/li>\n<\/ul>\n<\/nav>\n<h2>Conferences and workshop<\/h2>\n<nav>\n<ul>\n<li>A general coupled system of SI structured population model and its numerical approximation. AMS Meeting # 1105 Greensboro, NC, November 8-9, 2014.<\/li>\n<li>Assessment of the 2010 oil spill impact on deep diving marine mammals: Beaked whales. 2016 Gulf of Mexico Oil Spill Ecosystem Science Conference, Tampa, FL, Feb 1-4, 2016.<\/li>\n<li>A high resolution finite difference method for a model of structured Susceptible-Infected populations coupled with the environment. Joint AMS\/MAA Mathematical Meeting, Atlanta, GA, January 4-7, 2017.<\/li>\n<li>Assessment of long term impact of the 2010 oil spill impact on beaked whales using passive acoustic data. Invited seminar, University of New Orleans, April 19th, 2017.<\/li>\n<li>Open Science for Synthesis: Gulf Research Program Workshop, July 10 &#8211; July 28, Santa Barbara, CA.<\/li>\n<li>Application of algebraic geometry to semidefinite programming. Invited talk, AMS Meeting # 1138 Nashville, TN, April 15-16, 2018.<\/li>\n<li>On Semidefinite Programming Under Perturbation with Unknown Boundary. Invited talk, SIAM, Portland, OR, July 9-13, 2018.<\/li>\n<li>The Sixth G. J. Butler International Conference on Differential Equations and Population Biology, Invited talk, Edmonton, Alberta, CA, July 23-27, 2018.<\/li>\n<li>Determine the Maximum Permissible Perturbation Set of SDP Problem With Unknown Perturbations. Invited talk, MOPTA,\u00a0Bethlehem, PA, Aug 15-17, 2018.<\/li>\n<li>Markov Chain Monte Carlo Assisted method for finding all real solutions of nonlinear polynomial system, AMS Meeting #1142 Fayetteville, AR, Nov 3-4, 2018.<\/li>\n<li>Numerical methods for solving PDEs on real closed algebraic curves and surfaces, University of Notre Dame, ACMS Applied Math Seminar. Nov 15, 2018.<\/li>\n<li>A Variable Infection-Structured Model of Mycobacterium marinum Dynamics in Aquatic Animals, JMM 2019, Baltimore, MD, Jan 16-19, 2019.<\/li>\n<li>Application of algebraic geometry in deep linear network, AMS Meeting #1146, Auburn, AL, Mar 15-17, 2019<\/li>\n<li>Understanding the short and long term impact of environmental disturbance on population dynamics using stochastic modeling with application in marine mammals, Colloquium, Andrews University, Mar 29, 2019.<\/li>\n<li>Understanding the loss surface of deep linear network with algebraic geometry, Applied Algebra Seminar, UW Madison, May 3, 2019.<\/li>\n<li>Numerical Methods and Simulations in Population Modeling and Numerical Algebraic Geometry, San Diego State University, Colloquium, Mar 21, 2019.<\/li>\n<li>Nonlinearity interval in parameteric semidefinite optimization, SIAM Algebraic Geometry, Bern, Switzerland, July 7-13, 2019.<br \/>\n<h4 class=\"uxb-team-position\"><\/h4>\n<\/li>\n<\/ul>\n<\/nav>\n","protected":false},"excerpt":{"rendered":"<p>Research interests Numerical methods for PDEs arising in biology. Continuous and discrete structured population models. Numerical optimization methods. Publications A. S. Ackleh, B. Ma and T. Tang, A high resolution finite difference method for a model of structured Susceptible-Infected populations coupled with the environment, Numerical Methods for Partial Differential Equations, 33(2017), 1420-1458.\u00a0http:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/num.22139\/epdf A.S. Ackleh, R.A. &hellip; <a href=\"https:\/\/sites.nd.edu\/tingting-tang\/research\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Research<\/span><\/a><\/p>\n","protected":false},"author":2700,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-8","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.nd.edu\/tingting-tang\/wp-json\/wp\/v2\/pages\/8","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.nd.edu\/tingting-tang\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.nd.edu\/tingting-tang\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/tingting-tang\/wp-json\/wp\/v2\/users\/2700"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/tingting-tang\/wp-json\/wp\/v2\/comments?post=8"}],"version-history":[{"count":14,"href":"https:\/\/sites.nd.edu\/tingting-tang\/wp-json\/wp\/v2\/pages\/8\/revisions"}],"predecessor-version":[{"id":89,"href":"https:\/\/sites.nd.edu\/tingting-tang\/wp-json\/wp\/v2\/pages\/8\/revisions\/89"}],"wp:attachment":[{"href":"https:\/\/sites.nd.edu\/tingting-tang\/wp-json\/wp\/v2\/media?parent=8"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}