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Numerical Methods for Uncertainty Quantification - Fall Course

UQ SAMSI Fall Course

Principal Instructors: Various

Course Day and Time: Course will be held at SAMSI (driving directions) in RTP on Wednesdays, 4:30-7:00 p.m. in Room 150.

Schedule: First class Wednesday, September 14, 2011 ; last class Wednesday, December 7, 2011

This course focuses on numerical methods for stochastic computation and uncertainty quantification (UQ). It is a two-semester course, where the first semester focuses on fundamental materials for UQ computing and the second semester on more advanced research materials.

The main topics covered in the first semester include

basic probability theory
basic approximation theory
basic numerical methods and error estimation
formulation of stochastic system
sensitivity analysis
generalized polynomial chaos
stochastic Galerkin and collocation method.

Prerequisites:
Numerical linear algebra, numerical methods for ordinary and partial differential equations;
programming skill in one language, e.g., C/C++, FORTRAN, or Matlab.

The course is open to all levels of graduate students in Mathematics, Statistics, as well as to those in other departments of sciences and engineering. Senior level undergraduate students with outstanding background are also considered.

Registration for this course is being processed through your university.
Duke: STA 294-02
NCSU: NCSU MA/ST 810.003
UNC: STOR 891-001

Questions about the course or the UQ program should be emailed to [email protected].

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Estep Lecture Notes for 12/14/2011

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No meeting on December 7, 2011

All instructors are on travels. We will not have a meeting this week. Class will resume next week on December 14, 2011.

Meeting Date: 
December 4, 2011 - 10:15pm
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Estep Notes 23-46

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Estep Notes 1-22

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Estep Topics

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Short Course Talk

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Short Course

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Examples

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Course Topics

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Course Notes