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SUMMARY:Workshop on DAST: Nonlinear Uncertainty Propagation using Differen
tial Algebra
DTSTART;VALUE=DATE-TIME:20150922T073000Z
DTEND;VALUE=DATE-TIME:20150922T140000Z
DTSTAMP;VALUE=DATE-TIME:20191214T192428Z
UID:indico-event-98@indico.esa.int
DESCRIPTION:In the recent past\, the power of computing hardware has been
growing exponentially\, giving rise to many new possibilities in the field
of numerical mathematics. Yet the vast majority of numerical algorithms t
oday is still largely based on the same pointwise or linear algebra (matri
x) techniques developed 50-100 years ago. Differential algebra (DA) provid
es a method to easily extend these linearization techniques and allows the
implementation of efficient arbitrary order methods. The resulting techni
ques perform much faster and yield more accurate results in many mathemati
cal\, physical as well as engineering applications.\n\nESA has supported t
he implementation of a DA-based software tool for the efficient\, nonlinea
r propagation of uncertainties in space dynamics. The entire software is d
ivided in two main parts: the Differential Algebra Computational Engine (D
ACE) and the Differential Algebra Space Toolbox (DAST). DACE provides the
user with the tools to perform all the basic DA operations by replacing th
e operations between single numbers by suitably chosen operations on polyn
omials. The same sequence of operations coded forĀ floating point numbers
can thusly be evaluated using this new meaning of each operator almost wit
hout changes to the code.\n\nDAST is built on DACE and provides all the ro
utines to perform uncertainty propagation in different space dynamics scen
arios. Furthermore\, the software allows the user to propagate uncertainti
es through different techniques (from classical Monte Carlo to range estim
ation using polynomial bounders or classical linear covariance propagation
) Thanks to the use of DA techniques\, DAST has been shown to be orders of
magnitude more efficient than traditional Monte Carlo methods.\n\nThe obj
ectives of the workshop are:\n\n- To bring together engineers and research
ers from the industry\, research institutes\, universities\, and space age
ncies working on uncertainty propagation in space dynamics\n\n- To introdu
ce differential algebra\, DACE\, and DAST to the community and to show the
potentials with respect to classical approaches for uncertainty propagati
on\n\n- To gather the feedback and to promote the definition of common pla
ns for software developments\n\nhttps://indico.esa.int/event/98/
LOCATION:ESTEC Escape Dance Room
URL:https://indico.esa.int/event/98/
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