http://math.wvu.edu/morenews
enAriel Sitler Masters Project
http://math.wvu.edu/ariel-sitler_defense-2017-5-03
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even" property="content:encoded"><p>Abstract: Unmanned Aerial Vehicles (UAVs) are a valuable tool for image acquisition in the field of 3D mapping. UAVs are a low-cost alternative to manned aerial vehicles, and can be affixed with digital cameras capable of collecting high quality images of structures and terrain for the creation of 3D models. This research is an extension of previous work which used a genetic algorithm and space partitioning to optimize UAV flight paths over areas with structures. Here, the focus is on optimizing the structure mapping portion of the flight plan by imposing the grid technology used for the area portion in the previous work to a building face, then using the grid size, camera specifications, and desired resolution to determine the optimal offset distance from the building.</p>
<p>Date: 5/3/2017<br />
Time: 1:00PM-2:00PM<br />
Place: 313 Armstrong Hall</p>
<p>All are welcome.</p>
</div></div></div><div class="field field-name-field-date field-type-text field-label-above"><div class="field-label">Date, Location: </div><div class="field-items"><div class="field-item even">2017-5-03</div></div></div>Tue, 02 May 2017 08:51:20 +0000grandpoobah1215 at http://math.wvu.eduMath Undergraduate Receives NSF Research Fellowship
http://math.wvu.edu/node/1214
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even" property="content:encoded"><p>Math undergraduate Tony Allen awarded NSF Summer Fellowship. Please congratulate him. Great work Tony!</p>
</div></div></div><div class="field field-name-field-date field-type-text field-label-above"><div class="field-label">Date, Location: </div><div class="field-items"><div class="field-item even">2017-4-26</div></div></div>Wed, 26 Apr 2017 23:27:37 +0000grandpoobah1214 at http://math.wvu.eduFatma Mohamed Defense
http://math.wvu.edu/fatma-mohamed_defense-2017-4-10
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even" property="content:encoded"><p>On Some Parabolic Type Problems from Thin Film Theory and Chemical Reaction-Diffusion Networks</p>
<p>Abstract: In the first part of this dissertation we study the evolution of a thin film of fluid modeled by the lubrication approximation for thin viscous films. We prove existence of (dissipative) strong solutions for the Cauchy problem when the sub-diffusive exponent ranges between 3/8 and 2; then we show that these solutions tend to zero at rates matching the decay of the source-type self-similar solutions with zero contact angle. We introduce the weaker concept of dissipative mild solutions and we show that in this case the surface-tension energy dissipation is the mechanism responsible for the $H^1$--norm decay to zero of the thickness of the film at an explicit rate. Relaxed problems, with second-order nonlinear terms of porous media type are also successfully treated by the same means.</p>
<p>In the second part we are concerned with the convergence of a certain space-discretization scheme (the so-called method of lines) for mass-action reaction-diffusion systems. First, we start with a toy model, namely AB and prove convergence of the method of lines for this linear case (weak convergence in L^2 is enough in this case). Then we show that solutions of the chemical reaction-diffusion system associated to A+BC in one spatial dimension can be approximated in L^2 on any finite time interval by solutions of a space discretized ODE system which models the corresponding chemical reaction system replicated in the discretization subdomains where the concentrations are assumed spatially constant. Same-species reactions through the virtual boundaries of adjacent subdomains lead to diffusion in the vanishing limit. We show convergence of our numerical scheme by way of a consistency estimate, with features generalizable to reaction networks other than the one considered here, and to multiple space dimensions.</p>
<p>Date: 4/20/2017<br />
Time: 12:30PM-2:30PM<br />
Place: 315 Armstrong Hall</p>
<p>All are welcome.</p>
</div></div></div><div class="field field-name-field-date field-type-text field-label-above"><div class="field-label">Date, Location: </div><div class="field-items"><div class="field-item even">2017-4-20</div></div></div>Mon, 17 Apr 2017 09:47:50 +0000grandpoobah1206 at http://math.wvu.eduMushtaq Abd Al-Rahem Defense
http://math.wvu.edu/mushtaq-abdal-rahem_defense-2017-4-10
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even" property="content:encoded"><p>A Multidimensional Technique for Measuring Consensus Within Groups via Conditional Probability</p>
<p>Abstract: A recent increase in the use of the term “consensus” in various fields has led researchers to develop various ways to measure the consensus within and across groups depending on the areas. Numerous studies use the mean or the variance alone as a measure of consensus, or lack of consensus. Most of the time, high variance is viewed as more disagreement in a group. Using the variance as a measure of disagreement is meaningful in an exact comparison cases (same group, same mean). However, it could be meaningless when it is used to compare groups that have different sizes, or if the mean is different. In this thesis, we establish the fact that the range of the variance is a function of the mean, we present a new index of disagreement and measure of consensus that depend on both, the mean and the variance, by utilizing the conditional distribution of the variance for a given mean. Initially, this new index is developed for comparison of data collected using a Likert scale of size five. This new measure is compared with the results of two other known measures, to show that in some cases they agree, but in other cases the new measure provides additional information. Next, to facilitate generalization, a new algorithmic method to determine the index using a geometric approach is presented. The geometric approach makes it easier to compute the measure of consensus and provides the foundational ideas for generalizing the measure to Likert scales for any n. Finally, a multidimensional computational technique was developed to provided the final step of generalization to Likert scales of any n.</p>
<p>Date: 4/10/2017<br />
Time: 3:00PM-5:00PM<br />
Place: 313 Armstrong Hall</p>
<p>All are welcome.</p>
</div></div></div><div class="field field-name-field-date field-type-text field-label-above"><div class="field-label">Date, Location: </div><div class="field-items"><div class="field-item even">2017-4-10</div></div></div>Wed, 05 Apr 2017 11:36:53 +0000grandpoobah1197 at http://math.wvu.eduPantea Receives Award
http://math.wvu.edu/node/1201
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even" property="content:encoded"><p>The Eberly College of Arts and Sciences has named two recipients of the 2016-17 Outstanding Researcher Award: Christina Duncan and Casian Pantea.</p>
<p>Congratulate Professor Pantea the next time you see him!</p>
<p><a href="http://eberly.wvu.edu/news-events/eberly-news/2017/03/30/wvu-eberly-college-announces-2016-17-outstanding-research-award-recipients"> Read More</a></p>
</div></div></div><div class="field field-name-field-date field-type-text field-label-above"><div class="field-label">Date, Location: </div><div class="field-items"><div class="field-item even">2017-4-10</div></div></div>Sat, 08 Apr 2017 02:13:57 +0000grandpoobah1201 at http://math.wvu.eduJunior Math Competition
http://math.wvu.edu/junior_math_competition_4-08-2017
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even" property="content:encoded"><p>This competition will be open to all students grades 7-12. The questions will be at AMC difficulty level.</p>
<p>More information can be obtained from the following links.</p>
<p><a href="http://math.wvu.edu/~cpantea/outreach.html"> Website </a><br /><a href="/pdfs/poster_junior_math_comp.pdf"> Flyer</a></p>
<p>Please direct questions/comments:<br />
Casian Pantea: <a href="mailto:cpantea@math.wvu.edu">cpantea@math.wvu.edu</a><br />
Charis Tsikkou: <a href="mailto:tsikkou@math.wvu.edu">tsikkou@math.wvu.edu</a><br />
Megan Henry: <a href="mailto:mhott1@mix.wvu.edu">mhott1@mix.wvu.edu</a></p>
</div></div></div><div class="field field-name-field-date field-type-text field-label-above"><div class="field-label">Date, Location: </div><div class="field-items"><div class="field-item even">2017-4-08</div></div></div>Fri, 24 Mar 2017 20:32:47 +0000grandpoobah1180 at http://math.wvu.eduJanet Anderson Defense
http://math.wvu.edu/janet_anderson_defense-2017-4-07
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even" property="content:encoded"><p>A Study of arc strong connectivity of digraphs</p>
<p>Abstract: This dissertation studies the extremal, structural and minimax properties related to digraph arc strong connectivity. Motivated by the former researches by Mader and Matula, we defined the digraph arc strength of a digraph $D$ to be the maximum arc strong connectivity of subdigraphs of $D$, and investigate extremal conditions for a strict digraph that is saturated with respect to the condition that it digraph arc strength is bounded by a positive integer $k$. Extremal size of such digraphs are obtained and structural characterization of the extremal digraphs are also obtained. In addition, a minimax duality theorem to determine the digraph arc strength of a digraph is found. Similar minimax results on related desity functions of digraphs are also obtained. </p>
<p>Date: 4/7/2017<br />
Time: 3:30PM-5:00PM<br />
Place: 315 Armstrong Hall</p>
<p>All are welcome.</p>
</div></div></div><div class="field field-name-field-date field-type-text field-label-above"><div class="field-label">Date, Location: </div><div class="field-items"><div class="field-item even">2017-4-07</div></div></div>Tue, 04 Apr 2017 01:42:23 +0000grandpoobah1189 at http://math.wvu.eduCelebrating Einstein
http://math.wvu.edu/celebrating-einstein-at-wvu_2017_4_07
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even" property="content:encoded"><p>When Black Holes Collide! Gravitational Waves and Other Tales from the Horizon</p>
<p>As part of the month-long Celebrating Einstein event here at WVU, Dr. Zach Etienne from Department of Mathematics will be giving a public lecture this Friday on black holes and gravitational waves. A planetarium show on the top floor of White Hall will follow immediately after his lecture. His talk is accessible to general audience and even kids may enjoy the talk and the show.</p>
<p>Abstract:What happens if you fall into a black hole? Einstein's theory of gravity provides us a means to answer questions that, like this one, fuzz the boundary between science fiction and science fact. But the equations behind this theory are extremely complex, and solving them to advance our scientific understanding--particularly now that gravitational waves have been discovered--usually requires the use of supercomputers. In a nutshell, this is my field of expertise. I will review my career path and present results from some of my latest supercomputer simulations, which have given us both deeper insights into the gravitational waves we have already observed, as well as important predictions for those we are likely to observe in the near future.</p>
<p>Immediately after the lecture, at 8:30PM, there will be a planetarium show on the top floor of White Hall.</p>
<p>For more information on the Celebrating Einstein event, check out these links:</p>
<p><a href="http://eberly.wvu.edu/news-events/eberly-news/2017/03/22/-wvu-to-celebrate-einstein-during-month-long-event"> Press Release</a></p>
<p><a href="http://einstein.wvu.edu/files/d/95b51af1-0077-4ac5-8d15-ad3948a77bd2/poster11x17.pdf"> Official Poster</a></p>
<p><a href="https://vimeo.com/210660629"> Television Commercial</a></p>
<p><a href="http://einstein.wvu.edu/"> Official Webstie</a></p>
<p>Date: 4/07/2017<br />
Time: 7:30PM<br />
Place: White Hall Room G09</p>
<p>All are welcome.</p>
</div></div></div><div class="field field-name-field-date field-type-text field-label-above"><div class="field-label">Date, Location: </div><div class="field-items"><div class="field-item even">2017-4-07</div></div></div>Tue, 04 Apr 2017 20:45:52 +0000grandpoobah1195 at http://math.wvu.edu4th Annual Integration Bee
http://math.wvu.edu/2017-integration-bee
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even" property="content:encoded"><p>This will be an integration contest open to all WVU students.<br />
All integrals can be solved by techniques of Math 156.</p>
<p>More information can be obtained from the following links.<br /><a href="http://math.wvu.edu/~cpantea/outreach.html"> Website </a><br /><a href="/pdfs/poster17.pdf"> Flyer</a></p>
<p>Please direct questions/comments:<br />
Charis Tsikkou: <a href="mailto:tsikkou@math.wvu.edu">tsikkou@math.wvu.edu</a><br />
Casian Pantea: <a href="mailto:cpantea@math.wvu.edu">cpantea@math.wvu.edu</a></p>
</div></div></div><div class="field field-name-field-date field-type-text field-label-above"><div class="field-label">Date, Location: </div><div class="field-items"><div class="field-item even">2017-3-1</div></div></div>Wed, 15 Feb 2017 03:57:07 +0000grandpoobah1163 at http://math.wvu.eduMr. Xiangming Wu Dissertation Prospectus
http://math.wvu.edu/xiangming_wu_prospectus-1-20-2017
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even" property="content:encoded"><p>A Comparative Study of Three Versions of Calculus I</p>
<p>Date: 1/20/2017<br />
Time: 11:00AM-1:00PM<br />
Place: 320 Armstrong Hall</p>
<p>All are welcome.</p>
</div></div></div><div class="field field-name-field-date field-type-text field-label-above"><div class="field-label">Date, Location: </div><div class="field-items"><div class="field-item even">2017-1-20</div></div></div>Fri, 20 Jan 2017 00:49:59 +0000grandpoobah1152 at http://math.wvu.edu