[BANANA] ASC ITS SEMINAR: Wed, Aug-22 @ 2:00pm, B453 R1001

[Tiffany Ashworth]

ASC Institute for Terascale Simulation
Lecture Series 2007

<http://carweb.llnl.gov/seminarViewer/seminarViewer.php?id=210>"Estimation 
and Adaptive Control of Modeling Error:
A General Approach to Multi-scale Modeling"

Dr. J. Tinsley Oden
Institution for Computational Engineering and Sciences
The University of Texas at Austin

Wednesday, August 22, 2007
Building 453, Room 1001 (Armadillo Auditorium)
(Property Protection Area. Foreign national temporary escorted building 
access procedures apply.)
2:00pm

ABSTRACT:
“If error is corrected whenever it is recognized as such, the path to error 
is the path of truth.” So said the renowned philosopher of science, Hans 
Reichenbauch, in his 1951 treatise, The Rise of Scientific 
Philosophy.  Reichenbauch thus laid the foundation of a fundamental tenant 
of computational science, which we refer to now as a posterior error 
estimation and adaptive control.  A half-century elapsed following 
Reichenbauch’s work before mathematical methods for estimating errors in 
local quantities of interest in models of complex events emerged.  The 
first methods developed were the estimation and control of approximations 
error, through such approaches as adaptive meshing.  Then, much more 
recently, methods for estimating and controlling modeling error were 
developed.  The latter error control is also mathematically based, for it 
uses, as a datum for measuring error, a so-called base model, which itself 
has errors as it represents an imperfect abstraction of reality.

We describe in this lecture a general approach to estimating and 
controlling such modeling error for a very general class of abstract 
mathematical models, and then describe how this framework provides a 
general and rigorous approach to multi-scale modeling.  Thus, we provide a 
unified approach to such processes referred to as dimensional reduction, 
coarse graining, up-scaling, homogenization ensemble averaging, and the 
like – the idea always being to estimate and control error “as the path to 
truth.”

We consider as an application of these methods the analysis of statics of 
larger molecular systems corresponding to polymer structures encountered in 
the nano-manufacturing of semiconductor devices.  We describe an extension 
of the goals algorithm that makes possible the atomistic 
(molecular)-to-continuum transitions basic to methods of multiscale modeling.

SPEAKER BIO:
J. Tinsley Oden is the founding Director of the Institute for Computational 
Engineering and Sciences (ICES), which was created in January of 2003 as an 
expansion of the Texas Institute for Computational and Applied Mathematics, 
also directed by Oden for over a decade. The Institute supports broad 
interdisciplinary research and academic programs in computational 
engineering and sciences, involving four colleges and 17 academic 
departments within UT Austin.

Dr. Oden is an Honorary Member of the American Society of Mechanical 
Engineers and is a Fellow of six international scientific/technical 
societies: IACM, AAM, ASME, ASCE, SES, and BMIA. Dr. Oden has received 
numerous awards for his work, including the A. C. Eringen Medal, the 
Worcester Reed Warner Medal, the Lohmann Medal, the Theodore von Karman 
Medal, the John von Neumann medal, the Newton/Gauss Congress Medal, and the 
Stephan P. Timoshenko Medal. He was also knighted as "Chevalier des Palmes 
Academiques" by the French government and he holds five honorary doctorates 
from universities in Portugal, Belgium, Poland, the United States, and France.

Dr. Oden is a member of the U.S. National Academy of Engineering and the 
National Academies of Engineering of Mexico and of Brazil. He serves as 
Co-Chairman of the Accelerated Strategic Computing Initiative (ASCI) Panel 
for Sandia National Laboratories. He is a Member of the IUTAM Working Party 
5 on Computational Mechanics and serves on numerous organizational, 
scientific and advisory committees for international conferences and 
symposia. He is editor or serves on the editorial board of 27 scientific 
journals.  Dr. Oden has authored over 500 scientific publications 
(articles, book chapters, conference papers, and monographs) and has 
authored or edited over 50 books.


Technical Host: David Keyes (925) 422-1325
Administrative Contact: Tiffany Ashworth (925) 424-3491
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