Basic information

Part of the 2009 SAMSI Program on Stochastic Dynamics
Meeting time/location: Wednesday, 1:00pm - 2:45pm, SAMSI, Room 203
Leaders: Alina Chertock, Sorin Mitran
Webmaster: Sean Cohen
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Meeting activities

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Date	Topics and Readings	Notes
4/28/2010	Overview of continuum-kinetic-molecular (CKM) multiscale interaction algorithm	Click on date for notes.
4/21/2010	Resolution exchange model	Click on date for notes.
3/10/2010	DNS vs. Gaussian Instantiation	Click on date for notes.
3/03/2010	Finish Debugging - Adjusting Parameters and Fixing Boundary Condition.	Click on date for notes.
2/24/2010	Working group debugging session.	Click on date for notes.
2/10/2010	Please add comments here.	Click on date for notes.
2/03/2010	Moving forward on delegating work towards addressing desired alternative implementations of possible realizations of a solution.	Click on date for notes.
1/20/2010	Focused on narrowing list of questions about the 1-d rupture model.	Click on date for notes.
12/03/2009	We have moved forward with the decision to implement an elementary numerical method for the 1-d plasticity (rupture) model to determine its limitations.	Click on date for notes.
11/18/2009	Description and construction of algorithm to simulate rupture model.	Click on date for notes.
11/11/2009	A continuation in the full description of the rupture model.	Click on date for notes.
11/04/2009	The rupture model was discussed in more detail. In particular, we began to fully describe the model and its parameters. Different numerical methods will be applied to be compared for value.	Click on date for notes.
10/21/2009	Sorin Mitran presented two models to consider - Rupture and Viscoelastic flow. There is a general agreement to focus on the rupture model, focusing on the inherent multiscale issues.	Click on date for notes.
10/07/2009	Sorin Mitran led a discussion on Continuum-Molecular Modeling. Continued discussion towards choosing a research problem.	Click on date for notes.
09/30/2009	Alina Chertock led a discussion on heterogeneous multiscale methods. Continued discussion towards choosing a research problem.	Click on date for notes.
09/23/2009	Michael Minion led a discussion on the 2007 paper by John Bell, Alejandro Garcia and Sarah Williams titled, 'Numerical Methods for the Stochastic LLNS Equations.	Click on date for notes.
09/16/2009	Sorin Mitran discussed computational challenges for: Plasticity and rupture, Viscoelastic flow, Biomechanics	Click on date for notes.
09/09/2009	Ideas/Brainstorming: Multi-scale computations, Burger’s equation with stochastic force, Non-equilibrium problems, Uncertainty quantification, Nonlinear numerics. Identify papers.	Click on date for notes.

Group members

E-mail alias for the group is sd-num AT samsi.info.

Name	Affiliation	E-mail address
Anna Amirdjanova		anutka AT umich DOT edu
Dave Anderson		anderson AT math DOT wisc DOT edu
Hakima Bessaih		bessaih AT uwyo DOT edu
Alina Chertock		chertock AT math DOT ncsu DOT edu
Sean Cohen		secohen AT ncsu DOT edu
Shaozhong Deng		shaodeng AT uncc DOT edu
Nuwan deSilva		induyn AT rpi DOT edu
Dan Fovargue		fovargue AT email DOT unc DOT edu
John Fricks		fricks AT stat DOT psu DOT edu
Peter Kramer		kramep AT rpi DOT edu
Kevin Lin		klin AT math DOT arizona DOT edu
Jonathan Mattingly		jon AT math DOT duke DOT edu
Michael Minion		minion AT email DOT unc DOT edu
Sorin Mitran		mitran AT unc DOT edu
Carlos Mora		cmora AT ing-mat DOT udec DOT cl
Anuj Mubayi		anujmubayi AT yahoo DOT com
Hon Keung Tony Ng		ngh AT mail DOT smu DOT edu
Scott Schmidler		schmidler AT stat DOT duke DOT edu
Ravi Srinivasan		rav AT math DOT duke DOT edu
Ilya Timofeyev		ilya AT math AT uh AT edu

Reference list

Bell, J., Garcia, A., and Williams, S. (2007), Numerical methods for the stochastic Landau-Lifshitz Navier-Stokes equations, Physical Review, E(76), 016708. [pdf ]
Chertock, A., Levy, D. (2004), On Wavelet-based Numerical Homogenization, Society for Industrial and Applied Mathematics, 3(1), 65-88. [pdf ]
E, W., Engquist, B. (2003), Multiscale Modeling and Computation, Notices of the AMS, 50(9), 1062-1070. [pdf ]
E, W., Engquist, B. (2002), The heterogeneous multi-scale method, arXiv:physics/0205048v2. [pdf ]
E, W., Engquist, B. (2003), The heterogeneous multiscale methods, Comm. Math. Sci., 1(1), 87-132. [pdf ]

Data sites

Data site #1

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