BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Date iCal//NONSGML kigkonsult.se iCalcreator 2.20.4//
METHOD:PUBLISH
X-WR-CALNAME;VALUE=TEXT:����ԭ��
BEGIN:VTIMEZONE
TZID:America/New_York
BEGIN:STANDARD
DTSTART:20191103T020000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
END:STANDARD
BEGIN:DAYLIGHT
DTSTART:20190310T020000
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
END:DAYLIGHT
END:VTIMEZONE
BEGIN:VEVENT
UID:calendar.360666.field_event_date.0@www.wright.edu
DTSTAMP:20260220T041537Z
CREATED:20190618T153740Z
DESCRIPTION:DISSERTATION DEFENSE: “Efficient Numerical Methods for Chemotax
 is and Plasma Modulation Instability Studies”Nguyen\, Truong\, Interdiscip
 linary Applied Science & Mathematics PhD ProgramIn many physical and biolo
 gical problems\, it is extremely difficult to conduct experimental studies
  to analyze the dynamical processes of interest. Therefore\, modeling and 
 numerical simulations are used to understandsuchcomplex processes. However
 \, many of these real-world problems are governed by systems of nonlinear 
 partial differential equations (PDEs). Here\, we consider nonlinear models
 \, namely the Keller-Segel chemotaxis equations\, the model ofearly stage 
 cancer cellinvasionof a biological tissue\,andsystem of equations describi
 ng the plasma modulation instability phenomenon.Obtaining numerical soluti
 ons to these models is particularly challenging and can be computationally
  expensive. This is due to the fact that the governing equations are highl
 y nonlinear and their solutions are unstable\, exhibit rapid variations an
 d can develop singularities over a finite period of time. In this talk\, w
 e give an overview of these models and discuss somenumerical and analytica
 l challenges posed by these models. We employ some recently developedeffic
 ientand accurate numerical approaches for the numerical solutions of these
  nonlinear models. Specifically\, an adaptive moving mesh finite element a
 nd finite differencemethods are applied for the numerical solutions of the
  Keller-Segel chemotaxismodel and the cancer cell invasion model in both o
 ne and two spatial dimensions. Numerical experiments are given to address 
 the performance of the adaptive moving mesh method. On the other hand\, a 
 high order explicit pseudo-spectral method is applied for solving the syst
 em of nonlinear equations describing the wave collapses in the plasma modu
 lation instability phenomenon. We also implement a parallel three-dimensio
 nal solver of the pseudo-spectral method to further optimize the CPU run-t
 ime. The developed solvers are shown to accurately capture the collapsed p
 eriods\, which can be hard to observe in experiments\, of the cavitation d
 uring the plasma modulation instability phenomenon. We present numerical e
 xamples to demonstrate the efficiency and accuracy of the proposed methods
 . Finally\, some concluding remarks are given.
DTSTART;TZID=America/New_York:20190627T100000
DTEND;TZID=America/New_York:20190627T113000
LAST-MODIFIED:20190618T210317Z
LOCATION:103 Oelman Hall
SUMMARY:Interdisciplinary Applied Science & Mathematics Ph.D. Program Disse
 rtation Defense - Truong Nguyen
URL;TYPE=URI:/events/interdisciplinary-applied-scienc
 e-mathematics-phd-program-dissertation-defense-truong-nguyen
END:VEVENT
END:VCALENDAR