BEGIN:VCALENDAR
PRODID:-//PSU Mathematics Department//Seminar iCalendar Generator//EN
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CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:CCMA PDEs and Numerical Methods Seminar Series
X-WR-TIMEZONE:America/New_York
BEGIN:VTIMEZONE
TZID:America/New_York
X-LIC-LOCATION:America/New_York
BEGIN:DAYLIGHT
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:19700308T020000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=2SU
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TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:19701101T020000
RRULE:FREQ=YEARLY;BYMONTH=11;BYDAY=1SU
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150116T153000
DTEND;TZID=America/New_York:20150116T170000
LOCATION:MB315
URL:http://www.math.psu.edu/seminars/meeting.php?id=25849
SUMMARY:CCMA PDEs and Numerical Methods Seminar Series - TBA
DESCRIPTION:Seminar: CCMA PDEs and Numerical Methods Seminar Series\nTitle:
TBA
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150123T153000
DTEND;TZID=America/New_York:20150123T170000
LOCATION:MB315
URL:http://www.math.psu.edu/seminars/meeting.php?id=25850
SUMMARY:CCMA PDEs and Numerical Methods Seminar Series - A simple finite el
ement method simulating the incompressible high Reynolds number flow and b
oundary layer separation.
DESCRIPTION:Seminar: CCMA PDEs and Numerical Methods Seminar Series\nTitle:
A simple finite element method simulating the incompressible high Reynold
s number flow and boundary layer separation.\nSpeaker: Yunhua Xue\, Nankai
University\nAbstract: In this talk\, we apply the simple finite element n
umerical scheme to simulate the vorticity-stream function formulation of t
he incompressible flow over a triangular domain and analyze its boundary l
ayer separation. Compared with many classical finite element fluid solvers
\, this method avoids a Stokes solver\, and only two Poisson-like equation
s need to be solved at each time step/state. Numerical experiments over th
is irregular domain for high Reynolds number $Re=10^4\, 10^5$ flows are in
vestigated. At same time\, the dynamical mechanism of the boundary layer s
eparation\, including the bifurcation location and critical time are quali
tatively reported.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150130T153000
DTEND;TZID=America/New_York:20150130T170000
LOCATION:MB315
URL:http://www.math.psu.edu/seminars/meeting.php?id=25851
SUMMARY:CCMA PDEs and Numerical Methods Seminar Series - Nonlinear approxim
ation theory for the homogeneous Boltzmann equation
DESCRIPTION:Seminar: CCMA PDEs and Numerical Methods Seminar Series\nTitle:
Nonlinear approximation theory for the homogeneous Boltzmann equation\nSp
eaker: Binh Tran\, Basque Center for Applied Mathematics\, Spain\nAbstract
Link: http://www.math.univ-paris13.fr/~binh/\nAbstract: A challenging pro
blem in solving the Boltzmann equation numerically is that the velocity sp
ace is approximated by a finite region. Therefore\, most methods are based
on a truncation technique and the computational cost is then very high if
the velocity domain is large. Moreover\, sometimes\, non-physical conditi
ons have to be imposed on the equation in order to keep the velocity domai
n bounded. In this talk\, we introduce the first nonlinear approximation t
heory for the Boltzmann equation. Our nonlinear wavelet approximation is n
on-truncated and based on a nonlinear\, adaptive spectral method associate
d with a new wavelet filtering technique and a new formulation of the equa
tion. The approximation is proved to converge and perfectly preserve most
of the properties of the homogeneous Boltzmann equation. It could also be
considered as a general frame work for approximating kinetic integral equa
tions.
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150206T153000
DTEND;TZID=America/New_York:20150206T170000
LOCATION:MB315
URL:http://www.math.psu.edu/seminars/meeting.php?id=25852
SUMMARY:CCMA PDEs and Numerical Methods Seminar Series - TBA
DESCRIPTION:Seminar: CCMA PDEs and Numerical Methods Seminar Series\nTitle:
TBA\nAbstract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150213T153000
DTEND;TZID=America/New_York:20150213T170000
LOCATION:MB315
URL:http://www.math.psu.edu/seminars/meeting.php?id=25853
SUMMARY:CCMA PDEs and Numerical Methods Seminar Series - Cloaking using com
plementary media in the finite frequency regime
DESCRIPTION:Seminar: CCMA PDEs and Numerical Methods Seminar Series\nTitle:
Cloaking using complementary media in the finite frequency regime\nSpeake
r: Loc Nguyen\, Ecole Polytechnique Federale de Lausanne\nAbstract Link: h
ttp://sma.epfl.ch/~holnguye/\nAbstract: Lai et al. [1] have designed a clo
aking device\, making given objects invisible\, by using negative index ma
terials. \nIn this talk\, we provide a mathematical proof for this effec
t in the finite frequency regime. Because of the presence of negative inde
x materials\, the equation\, describing the phenomenon\, has sign-changing
coefficients\, and hence the ellipticity is lost. This difficulty can be
overcome by using reflection technique and a new three-sphere inequality f
or second order elliptic equations. \n\nThis is a joint work with Hoai-Min
h Nguyen.\n\n\nReferences\n[1] Y. Lai\, H. Chen\, Z. Zhang\, and C. T. Cha
n\, Complementary media invisibility\ncloak that cloaks objects at a dista
nce outside the cloaking shell\, Physical review letters\,\n102\, 093901 (
2009).
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150220T153000
DTEND;TZID=America/New_York:20150220T170000
LOCATION:MB315
URL:http://www.math.psu.edu/seminars/meeting.php?id=25854
SUMMARY:CCMA PDEs and Numerical Methods Seminar Series - TBA
DESCRIPTION:Seminar: CCMA PDEs and Numerical Methods Seminar Series\nTitle:
TBA\nSpeaker: Juan G. Calvo\, NYU
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150227T153000
DTEND;TZID=America/New_York:20150227T170000
LOCATION:MB315
URL:http://www.math.psu.edu/seminars/meeting.php?id=25855
SUMMARY:CCMA PDEs and Numerical Methods Seminar Series - TBA
DESCRIPTION:Seminar: CCMA PDEs and Numerical Methods Seminar Series\nTitle:
TBA\nAbstract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150306T153000
DTEND;TZID=America/New_York:20150306T170000
LOCATION:MB315
URL:http://www.math.psu.edu/seminars/meeting.php?id=25856
SUMMARY:CCMA PDEs and Numerical Methods Seminar Series - TBA
DESCRIPTION:Seminar: CCMA PDEs and Numerical Methods Seminar Series\nTitle:
TBA\nAbstract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150313T153000
DTEND;TZID=America/New_York:20150313T170000
LOCATION:MB315
URL:http://www.math.psu.edu/seminars/meeting.php?id=25857
SUMMARY:CCMA PDEs and Numerical Methods Seminar Series - TBA
DESCRIPTION:Seminar: CCMA PDEs and Numerical Methods Seminar Series\nTitle:
TBA\nAbstract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150320T153000
DTEND;TZID=America/New_York:20150320T170000
LOCATION:MB315
URL:http://www.math.psu.edu/seminars/meeting.php?id=25858
SUMMARY:CCMA PDEs and Numerical Methods Seminar Series - TBA
DESCRIPTION:Seminar: CCMA PDEs and Numerical Methods Seminar Series\nTitle:
TBA\nAbstract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150327T153000
DTEND;TZID=America/New_York:20150327T170000
LOCATION:MB315
URL:http://www.math.psu.edu/seminars/meeting.php?id=25859
SUMMARY:CCMA PDEs and Numerical Methods Seminar Series - TBA
DESCRIPTION:Seminar: CCMA PDEs and Numerical Methods Seminar Series\nTitle:
TBA\nAbstract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150403T153000
DTEND;TZID=America/New_York:20150403T170000
LOCATION:MB315
URL:http://www.math.psu.edu/seminars/meeting.php?id=25860
SUMMARY:CCMA PDEs and Numerical Methods Seminar Series - TBA
DESCRIPTION:Seminar: CCMA PDEs and Numerical Methods Seminar Series\nTitle:
TBA\nAbstract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150410T153000
DTEND;TZID=America/New_York:20150410T170000
LOCATION:MB315
URL:http://www.math.psu.edu/seminars/meeting.php?id=25861
SUMMARY:CCMA PDEs and Numerical Methods Seminar Series - Fractional Sturm-L
iouville Eigen-Problems: Theory and Applications to Fractional PDEs in Hig
h Dimensions
DESCRIPTION:Seminar: CCMA PDEs and Numerical Methods Seminar Series\nTitle:
Fractional Sturm-Liouville Eigen-Problems: Theory and Applications to Fra
ctional PDEs in High Dimensions\nSpeaker: Mohsen Zayernouri\, Brown Univer
sity\nAbstract: Fractional Calculus is unifying theory that generalizes th
e standard (integer-order) calculus to real (fractional-order) differentia
tion and integration. The corresponding non-local operators of fractional
order (in time and/or space) are shown to appear in a wide rang of applic
ations. In continuum-time random walk (CTRW)\, which allows to incorporate
waiting times and/or non-Gaussian jump distributions\, the continuous lim
it leads to the notion of fractional calculus yielding fractional in time
and/or space diffusion equation\, governing the PDF of the Levy processes.
In Bioengineering\, there is an extensive amount of experimental evidence
that highlights such processes occur in critical applications such as dif
fusion processes in human brain\, cardiac tissue electrode interface\, vis
coelastic response of human red-blood-cells\, wall-arteries\, lung tissues
\, etc. In such power-law attributed phenomena\, fractional PDEs naturally
appear as the right mathematical framework. extension of existing numrica
l methods to FPDEs is not trivial because of their non-local and history-d
ependent nature. To this end\, we first present a fractional (regular and
singular) Sturm-Liouville eigen-problems\, recently developed by Zayernour
i & Karniadakis JCP 2013\, which serves as a fundamental theory that provi
des explicit (non-polynomial) eigen-functions\, namely as Jacobi Poly-frac
tonomials. These eigen-functions extend the well-known family of Jacobi po
lynomials to their fractional counterparts\, where we show that they enjoy
many attractive properties such as orthogonality\, recurrence relations\,
exact fractional derivatives/integrations\, in addition to their spectral
properties. Based upon this base fractional theory\, we develop a unified
Petrov-Galerkin spectral method for solving the whole family of parabolic
\, elliptic\, and hyperbolic (time- and space-) fractional PDEs in any (d+
1)-dimensions in a hypercube. While the existing numerical methods can tak
e days to run a One-Dimensional problem\, we also formulate a unified fast
linear solver for our scheme\, which allows one to run a "Ten-Dimensional
" FPDE on a laptop within a fractional of an hour!
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150417T153000
DTEND;TZID=America/New_York:20150417T170000
LOCATION:MB315
URL:http://www.math.psu.edu/seminars/meeting.php?id=25862
SUMMARY:CCMA PDEs and Numerical Methods Seminar Series - TBA
DESCRIPTION:Seminar: CCMA PDEs and Numerical Methods Seminar Series\nTitle:
TBA\nAbstract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150424T153000
DTEND;TZID=America/New_York:20150424T170000
LOCATION:MB315
URL:http://www.math.psu.edu/seminars/meeting.php?id=25863
SUMMARY:CCMA PDEs and Numerical Methods Seminar Series - TBA
DESCRIPTION:Seminar: CCMA PDEs and Numerical Methods Seminar Series\nTitle:
TBA\nAbstract Link: http://
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20150501T153000
DTEND;TZID=America/New_York:20150501T170000
LOCATION:MB315
URL:http://www.math.psu.edu/seminars/meeting.php?id=25864
SUMMARY:CCMA PDEs and Numerical Methods Seminar Series - TBA
DESCRIPTION:Seminar: CCMA PDEs and Numerical Methods Seminar Series\nTitle:
TBA\nAbstract Link: http://
END:VEVENT
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