Applied/ACMS: Difference between revisions

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*'''Where:''' 901 Van Vleck Hall
*'''Where:''' 901 Van Vleck Hall
*'''Organizers:'''  [https://math.wisc.edu/staff/fabien-maurice/ Maurice Fabien], [https://people.math.wisc.edu/~rycroft/ Chris Rycroft], and [https://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie],  
*'''Organizers:'''  [https://math.wisc.edu/staff/fabien-maurice/ Maurice Fabien], [https://people.math.wisc.edu/~rycroft/ Chris Rycroft], and [https://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie],  
*'''To join the ACMS mailing list:''' Send mail to [mailto:acms+join@g-groups.wisc.edu acms+join@g-groups.wisc.edu].
*'''To join the ACMS mailing list:''' Send mail to [mailto:acms+join@g-groups.wisc.edu acms+subscribe@g-groups.wisc.edu].


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<br>   


== Fall 2023  ==
== '''Spring 2025''' ==
 
{| cellpadding="8"
{| cellpadding="8"
!align="left" | date
! align="left" |Date
!align="left" | speaker
! align="left" |Speaker
!align="left" | title
! align="left" |Title
!align="left" | host(s)
! align="left" |Host(s)
|-
|-
| Sep 8
|Jan 31
|[https://webspace.clarkson.edu/~ebollt/ Erik Bollt] (Clarkson University)
|TBA
|A New View on Integrability: On Matching Dynamical Systems through Koopman Operator Eigenfunctions
|
| Chen
|
|-
|-
| Sep 15  '''4:00pm B239'''
|Feb 7
|[https://math.yale.edu/people/john-schotland John Schotland] (Yale University)
|TBA
| Nonlocal PDEs and Quantum Optics
|
| Li
|
|-
|-
|Sep 22
|Feb 14
|[https://sites.google.com/view/balazsboros Balazs Boros] (U Vienna)
|TBA
|
|
|
|Craciun
|-
|-
| Sep 29
|Feb 21
|[https://data-assimilation-causality-oceanography.atmos.colostate.edu/ Peter Jan van Leeuwen] (Colorado State University)
|TBA
|
|
|
| Chen
|-
|-
| '''Wed Oct 4'''
|Feb 28
|[https://www.damtp.cam.ac.uk/person/est42/ Edriss Titi] (Cambridge/Texas A&M)
|TBA
|''[[Applied/ACMS/absF23#Edriss Titi (Cambridge/Texas A&M)|Distringuished Lecture Series]]''
|
| Smith, Stechmann
|
|-
|-
| Oct 6
|Mar 7
| No Friday seminar
|TBA
| Distinguished lecture this week on Wednesday
|
|
|-
| Oct 13
| [https://geosci.uchicago.edu/people/da-yang/ Da Yang] (University of Chicago)
|
|
|Smith
|-
|-
| Oct 20
|Mar 14
|[https://www.stat.uchicago.edu/~ykhoo/ Yuehaw Khoo] (University of Chicago)
|[https://lu.seas.harvard.edu/ Yue Lu] (Harvard) '''[Colloquium]'''
|
|
|Li
|Li
|-
|-
| Oct 27
|Mar 21
|[https://shukaidu.github.io/ Shukai Du] (UW)
|TBA
|
|
|Stechmann
|-
| Nov 3
|[https://www.math.arizona.edu/~lmig/ Lise-Marie Imbert-Gérard] (University of Arizona)
|
|
|Rycroft
|-
|-
| Nov 10
|Mar 28
| [https://as.tufts.edu/physics/people/faculty/timothy-atherton Timothy Atherton] (Tufts)
|''Spring Break''
|
|
|Chandler, Spagnolie
|-
| Nov 17
|[https://klotsagroup.wixsite.com/home Daphne Klotsa]
|
|
|Rycroft
|-
|-
| Nov 24
|Apr 4
| Thanksgiving break
|TBA
|
|
|
|
|-
|-
| Dec 1
|Apr 11
|[https://meche.mit.edu/people/faculty/pierrel@mit.edu Pierre Lermusiaux] (MIT)
|
|
|Chen
|-
|Apr 18
|[https://www.math.uci.edu/~jxin/ Jack Xin] (UC Irvine) '''[Colloquium]'''
|
|
|
|
|-
|-
| Dec 8
|Apr 25
|
|[https://www-users.cse.umn.edu/~bcockbur/ Bernardo Cockburn] (Minnesota)
|
|''Transforming stabilization into spaces''
|
| Stechmann, Fabien
|-
|-
|Pending
|May 2
|Invite sent to Talea Mayo
|[https://sylviaherbert.com/ Sylvia Herbert] (UCSD)
|
|
|Fabien
|Chen
|}
|}


== Abstracts ==
==Abstracts==
[https://webspace.clarkson.edu/~ebollt/ Erik Bollt] (Clarkson University)
====Bernardo Cockburn (Minnesota)====
Title: Transforming stabilization into spaces


A New View on Integrability: On Matching Dynamical Systems through Koopman Operator Eigenfunctions
In the framework of finite element methods for ordinary differential equations, we consider the continuous Galerkin method (introduced in 72) and the discontinuous Galerkin method (introduced in 73/74). We uncover the fact that both methods discretize the time derivative in exactly the same form, and discuss a few of its consequences. We end by briefly describing our ongoing work on the extension of this result to some Galerkin methods for partial differential equations.<div id="Bal"><div id="Portone"><div id="Damle"><div id="Sprague"><div id="Holmes-Cerfon"><div id="Sun"><div id="Maxian"><div id="Lavi">
 
== Archived semesters ==
Matching dynamical systems, through different forms of conjugacies and equivalences, has long been a fundamental concept, and a powerful tool, in the study and classification of non- linear dynamic behavior (e.g. through normal forms). In this presentation we will argue that the use of the Koopman operator and its spectrum are particularly well suited for this endeavor, both in theory, but also especially in view of recent data-driven machine learning algorithmic developments. Recall that the Koopman operator describes the dynamics of observation functions along a flow or map, and it is formally the adjoint of the Frobenius-Perrron operator that describes evolution of densities of ensembles of initial conditions. The Koopman operator has a long theoretical tradition but it has recently become extremely popular through numerical methods such as dynamic mode decomposition (DMD) and variants, for applied problems such as coherence and also in control theory. We demonstrate through illustrative examples that we can nontrivially extend the applicability of the Koopman spectral theoretical and computational machinery beyond modeling and prediction, towards a systematic discovery of rectifying integrability coordinate transformations.
 
== Future semesters ==


*[[Applied/ACMS/Fall2024|Fall 2024]]
*[[Applied/ACMS/Spring2024|Spring 2024]]
*[[Applied/ACMS/Spring2024|Spring 2024]]
 
*[[Applied/ACMS/Fall2023|Fall 2023]]
 
----
 
== Archived semesters ==
 
*[[Applied/ACMS/Spring2023|Spring 2023]]
*[[Applied/ACMS/Spring2023|Spring 2023]]
*[[Applied/ACMS/Fall2022|Fall 2022]]
*[[Applied/ACMS/Fall2022|Fall 2022]]

Latest revision as of 19:31, 4 January 2025


Applied and Computational Mathematics Seminar


Spring 2025

Date Speaker Title Host(s)
Jan 31 TBA
Feb 7 TBA
Feb 14 TBA
Feb 21 TBA
Feb 28 TBA
Mar 7 TBA
Mar 14 Yue Lu (Harvard) [Colloquium] Li
Mar 21 TBA
Mar 28 Spring Break
Apr 4 TBA
Apr 11 Pierre Lermusiaux (MIT) Chen
Apr 18 Jack Xin (UC Irvine) [Colloquium]
Apr 25 Bernardo Cockburn (Minnesota) Transforming stabilization into spaces Stechmann, Fabien
May 2 Sylvia Herbert (UCSD) Chen

Abstracts

Bernardo Cockburn (Minnesota)

Title: Transforming stabilization into spaces

In the framework of finite element methods for ordinary differential equations, we consider the continuous Galerkin method (introduced in 72) and the discontinuous Galerkin method (introduced in 73/74). We uncover the fact that both methods discretize the time derivative in exactly the same form, and discuss a few of its consequences. We end by briefly describing our ongoing work on the extension of this result to some Galerkin methods for partial differential equations.

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