COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Fluid Mechanics (DAMTP) > Equation-free modeling and computation for complex/multiscale systems

## Equation-free modeling and computation for complex/multiscale systemsAdd to your list(s) Download to your calendar using vCal - Yannis Kevrekidis, Princeton
- Friday 09 March 2007, 16:00-17:00
- MR2, Centre for Mathematical Sciences.
If you have a question about this talk, please contact Nigel Peake. In current modeling practice for complex reacting systems, the best available descriptions often come at a fine level (atomistic, stochastic, microscopic, individual-based) while the questions asked and the tasks required by the modeler (prediction, parametric analysis, optimization and control) are at a much coarser, averaged, macroscopic level. Traditional modeling approaches start by first deriving macroscopic evolution equations from the microscopic models, and then bringing our arsenal of mathematical and algorithmic tools to bear on these macroscopic descriptions. Over the last few years, and with several collaborators, we have developed and validated a mathematically inspired, computational enabling technology that allows the modeler to perform macroscopic tasks acting on the microscopic models directly. We call this the ``equation-free” approach, since it circumvents the step of obtaining accurate macroscopic descriptions. We will argue that the backbone of this approach is the design of (computational) experiments. Traditional continuum numerical algorithms can thus viewed as protocols for experimental design (where “experiment” means a computational experiment set up and performed with a model at a different level of description). Ultimately, what makes it all possible is the ability to initialize computational experiments at will. Short bursts of appropriately initialized computational experimentation through matrix-free numerical analysis and systems theory tools like variance reduction and estimation- bridges microscopic simulation with macroscopic modeling. I will also discuss some recent developments in data mining algorithms, exploring large complex data sets to find good “reduction coordinates”. This talk is part of the Fluid Mechanics (DAMTP) series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- CamBridgeSens
- Combined External Astrophysics Talks DAMTP
- Cosmology, Astrophysics and General Relativity
- DAMTP Fluids Talks
- DAMTP info aggregator
- Fluid Mechanics (DAMTP)
- Life Science Interface Seminars
- MR2, Centre for Mathematical Sciences
- SJC Regular Seminars
- School of Physical Sciences
- Talks related to atmosphere and ocean dynamics and climate science
- UCCRI
Note that ex-directory lists are not shown. |
## Other listsEngineers Without Borders Panel Talks The Archimedeans Infant Sorrow## Other talksThe effects of directional wind shear on orographic gravity-wave breaking Higher twisted K-theory a la Dadarlat and Pennig Lies, Damn'd lies and statistics: why it is (almost) impossible to communicate risk ethically High strain rate deformation response of titanium for aerospace gas turbines Presentation: Challenge 3. Estimating Flood Probability Using Historical Data Can we exploit companion dogs to advance therapies for spinal cord injury? |