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TZID:America/Toronto
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DTSTART:20221106T020000
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
RDATE:20231105T020000
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DTSTART:20230312T020000
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TZOFFSETTO:-0400
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BEGIN:VEVENT
UID:calendar.1358.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20230131T174002Z
CREATED:20220902T200803Z
DESCRIPTION:In person (MC 5417) and online talk (for Zoom Link please conta
ct ddelreyfernandez@uwaterloo.ca) \n\nSpeaker\n\n\n\nProfessor Catherine
Mavriplis\, University of Ottawa Department of Mechanical Engineering\n\nT
itle\n\n\n\nh-p Adaptive High Order Methods and Direct Numerical Simulatio
n of Transitioning Flows\n\nAbstract\n\n\n\nHigh order spectral element me
thods are now routinely used for high resolution studies of complex fluid
dynamics\, such as direct numerical simulation of engineering flows. Howev
er\, these methods remain expensive and are hampered by structured grid to
pologies. Massively parallel implementations and the increasing power of h
igh performance computing platforms have steadily increased their efficien
cy. Adaptive mesh refinement can also bring significant savings of computa
tional resources and ease the task of finding suitable grids. While the hi
gh order computations and the discontinuous Galerkin approach are ideal fo
r parallel computing\, on both CPUs and GPUS\, the dynamic nature of the a
daptive gridding poses significant challenges.\n\n\n\nI will present our p
arallel adaptive discontinuous Galerkin method\, where both h-refinement (
splitting of elements) and p-refinement (elemental polynomial order increa
se) are used\, guided by a posteriori error estimators. To address load im
balance and interprocessor communication\, we use a Hilbert (space filling
) curve ordering of elements to maintain locality in connectivity informat
ion for the adapted grid. The MPI implementation was tested on up to 16\,3
84 CPUs for a wave equation solver. The implementation showed excellent sc
aling performance on up to 1 million elements. On GPUs\, care must be take
n to minimize branching and to maximize loading on each GPU\, while avoidi
ng race conditions and minimizing latency. We demonstrate excellent scalin
g properties on up to 64 GPUs for the hp-adaptive wave equation solver\n\n
\n\nI will also present high order spectral element simulations of flow pa
st a high lift 30P30N wing using the non-adaptive Nek5000 code. We show tw
o Reynolds number results\, one where Görtler vortices appear on top of th
e main airfoil and\, at a slightly higher one\, where these are replaced b
y streaky structures (shown here).
DTSTART;TZID=America/Toronto:20230131T130000
DTEND;TZID=America/Toronto:20230131T130000
LAST-MODIFIED:20230120T134614Z
SUMMARY:Numerical Analysis and Scientific Computing Seminar | Catherine Mav
riplis\, h-p Adaptive High Order Methods and Direct Numerical Simulation o
f Transitioning Flows
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/numerical-anal
ysis-and-scientific-computing-seminar-0
END:VEVENT
BEGIN:VEVENT
UID:calendar.1410.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20230131T174002Z
CREATED:20230120T202956Z
DESCRIPTION:MC 5417\n\n\n\n\n\nCandidate\n\n\n\nNico Castro-Folker | Applie
d Mathematics\, University of Waterloo\n\nTitle\n\n\n\nThree-Dimensional S
imulations of Gravity Currents Undergoing a Lobe-Cleft Instability in Cold
Fresh Water\n\n Abstract\n\n\n\nFresh water is most dense when it is just
shy of 4 degrees Celsius\, which means that\, contrary to the notion of '
heat rises'\, cooler water is sometimes lighter than warmer water. In ice-
covered lakes\, intruding water can be cooler or warmer than the temperatu
re of maximum density\, meaning that intruding water can generate currents
with unintuitive dynamics. These buoyancy-driven currents are deemed grav
ity currents\, and they contribute significantly to the transport of heat\
, nutrients\, and pollutants in lakes. Of particular interest is when a gr
avity current interacts with a solid boundary in the lake\, such as the la
ke bed or surface ice. When a gravity current travels along a solid bounda
ry\, the front of the current develops folds and billows\, giving it the a
ppearance of an elephant's foot\; this is due to the lobe-cleft instabilit
y. These structures generate enhanced friction between the fluid and the s
olid contact boundary. Furthermore\, the folds increase the surface area a
long the front and bottom of the current\, and enhance the mixing of sedim
ent and heat by the current.\n\n\n\n\n\nThe dynamics of gravity currents v
ary with the temperature of the ambient fluid\, the temperature within the
current\, and the relative difference between these temperatures and the
temperature of maximum density. Grace et. al. then used these temperatures
to classify different gravity current systems. This classification scheme
was then used to analyze two-dimensional gravity currents where it was as
sumed that the friction between the current and the solid boundary is negl
igible. I plan to extend this work by performing three dimensional simulat
ions where we do not neglect friction at the solid boundary. This will all
ow us to apply and expand the classification scheme\, and provide insights
into the exact role of gravity currents and the lobe-cleft instability in
the hydrodynamics and ecology of winter and ice-covered lakes.
DTSTART;TZID=America/Toronto:20230203T143000
DTEND;TZID=America/Toronto:20230203T143000
LAST-MODIFIED:20230120T203002Z
SUMMARY:PhD Comprehensive Seminar | Nico Castro-Folker\, Three-Dimensional
Simulations of Gravity Currents Undergoing a Lobe-Cleft Instability in Col
d Fresh Water
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/phd-comprehens
ive-seminar-nico-castro-folker-three
END:VEVENT
BEGIN:VEVENT
UID:calendar.1383.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20230131T174002Z
CREATED:20221117T145133Z
DESCRIPTION:For Zoom Link please contact ddelreyfernandez@uwaterloo.ca \n
\nSpeaker\n\n\n\nAssistant Professor Matthew Zahr\, Aerospace and Mechanic
al Engineering\, College of Engineering\, University of Notre Dame\n\nTitl
e\n\n\n\nSimulation of shock-dominated flows using high-order implicit sho
ck tracking\n\nAbstract\n\n\n\nHigh-order implicit shock tracking (fitting
) is a new class of numerical methods to approximate solutions of conserva
tion laws with non-smooth features\, e.g.\, contact lines\, shock waves\,
and rarefactions. These methods align elements of the computational mesh w
ith non-smooth features to represent them perfectly\, allowing high-order
basis functions to approximate smooth regions of the solution without the
need for nonlinear stabilization\, which leads to accurate approximations
on traditionally coarse meshes. The hallmark of these methods is the under
lying optimization formulation whose solution is a feature-aligned mesh an
d the corresponding high-order approximation to the flow\, which circumven
ts the geometric complexity of traditional shock fitting approaches. In th
is talk\, I will introduce the High-Order Implicit Shock Tracking method a
nd its application to several shock-dominated flows.
DTSTART;TZID=America/Toronto:20230207T130000
DTEND;TZID=America/Toronto:20230207T130000
LAST-MODIFIED:20230119T151622Z
SUMMARY:Numerical Analysis and Scientific Computing Seminar | Matthew Zahr\
, Simulation of shock-dominated flows using high-order implicit shock trac
king
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/numerical-anal
ysis-and-scientific-computing-seminar-matthew
END:VEVENT
BEGIN:VEVENT
UID:calendar.1412.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20230131T174002Z
CREATED:20230126T210214Z
DESCRIPTION:DC 2314\n\nCandidate\n\n\n\nPhuong Dong Le | Applied Mathematic
s\, University of Waterloo\n\nTitle\n\n\n\nMachine Learning Methods for So
lving Partial Differential Equations\n\nAbstract\n\n\n\nOne of the fundame
ntal problems in fields of science\, physical phenomena and engineering is
partial differential equations (PDE). Those are used to formulate problem
s of propagation of sound or heat\, electrostatics\, fluid flow and elasti
city. Neural network models have shown a great potential in solving partia
l differential equations (PDE). Once trained with numerical simulation dat
a\, these models can provide faster alternative to traditional simulators
and be efficient. However\, they suffer from the generalization problem. T
here have been previous works that address the issue by applying universal
approximation theorem for operator (DeepONet) using two sub-neural-networ
ks. This approach has been generalized to neural network models that can l
earn mappings between function spaces. A recent work of neural operator (F
NO) has been formulated as a new method by parameterizing the integral ker
nel into a Fourier space. In the proposal\, we review a recent literature
in the field of deep learning methods to approximate solution for partial
differential equations. We consider the proposed neural architecture in so
lving examples of elliptic and hyperbolic partial differential equations.a
n more responsibly administer antibiotics.
DTSTART;TZID=America/Toronto:20230209T100000
DTEND;TZID=America/Toronto:20230209T100000
LAST-MODIFIED:20230126T210223Z
SUMMARY:PhD Comprehensive Exam | Phuong Dong Le\, Machine Learning Methods
for Solving Partial Differential Equations
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/phd-comprehens
ive-exam-phuong-dong-machine-learning-methods
END:VEVENT
BEGIN:VEVENT
UID:calendar.1407.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20230131T174002Z
CREATED:20230110T134547Z
DESCRIPTION:MC 6460\n\nSpeaker\n\n\n\nWilten Nicola\, Hotchkiss Brain Insti
tute\, University of Calgary\n\nTitle\n\n\n\nMesoscale Imaging Reveals the
Markovian Dynamics of the Brain\n\nAbstract\n\n\n\nMesoscale cortical dyn
amics\, which are recordings from the entire cortical surfaces of mice\, c
onsist of stereotyped\, spatio-temporal patterns of neural activity. Whet
her the sequencing of these motifs follows an intrinsic ‘grammar’ is not k
nown. Here\, we use mesoscale cortical imaging and computational modellin
g of neocortical activity motifs as a novel lens to characterize cortical
dynamics. A first-order Continuous Time Markov Chain model probabilistical
ly describes the temporal sequences of activity motifs using Markov Elemen
ts\, where the probability of transition depends only on the current eleme
nt occupied. This approach creates a ‘Markovian neural barcode’ describing
both the probability of Markov element transitions\, in addition to the s
um total of element occurrence as an occupancy distribution. The Markovian
neural barcode describes an underlying grammar governing large scale cort
ical dynamics\, and further reveals individual animal specific signatures
and deviations from this overarching grammar\, akin to style or dialect. A
cross experimental and pharmacological interventions\, we show that mesosc
ale activity motif sequencing is highly structured and sensitive to neural
perturbations using the Markovian neural barcode. This approach provides
a powerful lens from which to characterize normative and pathological cor
tical function.
DTSTART;TZID=America/Toronto:20230209T143000
DTEND;TZID=America/Toronto:20230209T143000
LAST-MODIFIED:20230116T180719Z
SUMMARY:Applied Math Seminar | Wilten Nicola\, Mesoscale Imaging Reveals th
e Markovian Dynamics of the Brain
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/applied-math-s
eminar-wilten-nicola-mesoscale-imaging-reveals
END:VEVENT
BEGIN:VEVENT
UID:calendar.1409.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20230131T174002Z
CREATED:20230116T165349Z
DESCRIPTION:M3 4206\n\nCandidate\n\n\n\nBrittany Howell | Applied Mathemati
cs\, University of Waterloo\n\nTitle\n\n\n\nThe Physiological Origin of th
e Antagonism Between DNA Synthesis- and Protein Synthesis-Targeting Antibi
otics\n\nAbstract\n\n\n\nBacteria must constantly adapt their growth to ch
anges in their environment\, whether that be nutrient availability or anti
biotic administration. These changes strongly influence the efficacy of an
tibiotics\, yet the connection between antibiotic susceptibility and physi
ology remains uncertain. One of the more puzzling aspects of antibiotic ef
ficacy is the strong antagonism between protein-synthesis and DNA-synthesi
s inhibitors: when these two classes are added together\, the growth rate
increases almost to the drug-free level. Our main objective here is to bui
ld a mathematical model in agreement with presented literature and experim
ental data. We are hopeful that combining these two elements\, we will bet
ter understand the intrinsic coupling among protein synthesis\, DNA synthe
sis and growth rate in bacteria. With this improved understanding of antib
iotic action\, we can more responsibly administer antibiotics.
DTSTART;TZID=America/Toronto:20230214T120000
DTEND;TZID=America/Toronto:20230214T120000
LAST-MODIFIED:20230116T165431Z
SUMMARY:PhD Comprehensive Exam | Brittany Howell\, The Physiological Origin
of the Antagonism Between DNA Synthesis- and Protein Synthesis-Targeting
Antibiotics
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/phd-comprehens
ive-exam-brittany-howell-physiological-origin
END:VEVENT
BEGIN:VEVENT
UID:calendar.1384.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20230131T174002Z
CREATED:20221117T145458Z
DESCRIPTION:For Zoom Link please contact ddelreyfernandez@uwaterloo.ca \n
\nSpeaker\n\n\n\nResearch Scientist Florent Renac\, The French Aerospace L
ab ONERA \n\nTitle\n\n\n\nTBA\n\nAbstract\n\n\n\nTBA
DTSTART;TZID=America/Toronto:20230214T130000
DTEND;TZID=America/Toronto:20230214T130000
LAST-MODIFIED:20221117T145509Z
SUMMARY:Numerical Analysis and Scientific Computing Seminar | Florent Renac
\, TBA
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/numerical-anal
ysis-and-scientific-computing-seminar-florent
END:VEVENT
BEGIN:VEVENT
UID:calendar.1402.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20230131T174002Z
CREATED:20221212T133845Z
DESCRIPTION:For Zoom Link please contact ddelreyfernandez@uwaterloo.ca \n\n
Speaker\n\n\n\nProfessor Christiane Helzel\, Mathematics Institute\, Heinr
ich Heine University Düsseldorf\n\nTitle\n\n\n\nTBA\n\nAbstract\n\n\n\nTBA
DTSTART;TZID=America/Toronto:20230307T130000
DTEND;TZID=America/Toronto:20230307T130000
LAST-MODIFIED:20221212T133850Z
SUMMARY:Numerical Analysis and Scientific Computing Seminar | Christiane He
lzel\, TBA
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/numerical-anal
ysis-and-scientific-computing-seminar-4
END:VEVENT
BEGIN:VEVENT
UID:calendar.1385.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20230131T174002Z
CREATED:20221117T145645Z
DESCRIPTION:For Zoom Link please contact ddelreyfernandez@uwaterloo.ca \n
\nSpeaker\n\n\n\nClaus-Dieter Munz Deputy Director and Head of the Numeric
al Methods Institute of Aerodynamics and Gas Dynamics\, University of Stut
tgart \n\nTitle\n\n\n\nTBA\n\nAbstract\n\n\n\nTBA
DTSTART;TZID=America/Toronto:20230314T130000
DTEND;TZID=America/Toronto:20230314T130000
LAST-MODIFIED:20221117T145703Z
SUMMARY:Numerical Analysis and Scientific Computing Seminar | Claus-Dieter
Munz\, TBA
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/numerical-anal
ysis-and-scientific-computing-seminar-claus
END:VEVENT
BEGIN:VEVENT
UID:calendar.1386.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20230131T174002Z
CREATED:20221117T145845Z
DESCRIPTION:For Zoom Link please contact ddelreyfernandez@uwaterloo.ca \n
\nSpeaker\n\n\n\nPost-Doc Research Fellow Philipp Öffner\, Johannes Gutenb
erg-University Mainz Institute of Mathematics\, Numerics Group\n\nTitle\n
\n\n\nTBA\n\nAbstract\n\n\n\nTBA
DTSTART;TZID=America/Toronto:20230321T130000
DTEND;TZID=America/Toronto:20230321T130000
LAST-MODIFIED:20221117T153140Z
SUMMARY:Numerical Analysis and Scientific Computing Seminar | Philipp Öffne
r\, TBA
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/numerical-anal
ysis-and-scientific-computing-seminar-philipp
END:VEVENT
BEGIN:VEVENT
UID:calendar.1387.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20230131T174002Z
CREATED:20221117T150007Z
DESCRIPTION:For Zoom Link please contact ddelreyfernandez@uwaterloo.ca \n
\nSpeaker\n\n\n\nProfessor Esteban Ferrer in Applied Mathematics at the Sc
hool of Aeronautics (ETSIAE-UPM) in Madrid \n\nTitle\n\n\n\nTBA\n\nAbstrac
t\n\n\n\nTBA
DTSTART;TZID=America/Toronto:20230328T130000
DTEND;TZID=America/Toronto:20230328T130000
LAST-MODIFIED:20221117T153056Z
SUMMARY:Numerical Analysis and Scientific Computing Seminar | Esteban Ferre
r\, TBA
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/numerical-anal
ysis-and-scientific-computing-seminar-esteban
END:VEVENT
BEGIN:VEVENT
UID:calendar.1388.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20230131T174002Z
CREATED:20221117T150213Z
DESCRIPTION:For Zoom Link please contact ddelreyfernandez@uwaterloo.ca \n
\nSpeaker\n\n\n\nProfessor Volker John\, Head of Research Group Numerical
Mathematics and Scientific Computing Weierstrass Institute for Applied Ana
lysis and Stochastics\n\nTitle\n\n\n\nTBA\n\nAbstract\n\n\n\nTBA
DTSTART;TZID=America/Toronto:20230404T130000
DTEND;TZID=America/Toronto:20230404T130000
LAST-MODIFIED:20221117T150216Z
SUMMARY:Numerical Analysis and Scientific Computing Seminar | Volker John\,
TBA
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/numerical-anal
ysis-and-scientific-computing-seminar-volker
END:VEVENT
BEGIN:VEVENT
UID:calendar.1401.field_event_date.0@uwaterloo.ca/applied-mathematics
DTSTAMP:20230131T174002Z
CREATED:20221209T184322Z
DESCRIPTION:MC 5501 \n\nSpeaker\n\n\n\nJose Carrillo | University of Oxfor
d\, Mathematical Institute\n\nTitle\n\n\n\nTBA\n\nAbstract\n\n\n\nTBA\n\nB
iography\n\n\n\nTBA
DTSTART;TZID=America/Toronto:20230426T130000
DTEND;TZID=America/Toronto:20230426T130000
LAST-MODIFIED:20221216T190522Z
SUMMARY:Applied Math Distinguished Lecture | Jose Carrillo\, TBA
URL;TYPE=URI:https://uwaterloo.ca/applied-mathematics/events/applied-math-d
istinguished-lecture-jose-carrillo-tba
END:VEVENT
END:VCALENDAR