[Club2] Invitation: Taylor Models in Isabelle/HOL @ Wed Jan 20, 2016 14:00 - 14:45 (Club2)

[julianbrunner at gmail.com]

You have been invited to the following event.

Title: Taylor Models in Isabelle/HOL
Speaker: Christoph Traut
Type: Master's Thesis Presentation

Abstract:
We present a formally verified implementation of multivariate taylor models  
(TMs) for the Isabelle proof assistant. Taylor models are a form of  
rigorous polynomial approximation (RPA), consisting of an approximation  
polynomial based on taylor expansions, combined with a rigorous bound on  
the approximation error. Taylor models were introduced as a tool to  
mitigate the dependency problem of interval arithmetic [7]. Their  
applications include range bounding of functions, global optimization and  
solving ordinary differential equations. Our implementation automatically  
computes taylor models for the class of elementary functions, expressed by  
composition of arithmetic operations (+, −, ·, /) and basic functions like  
exp, sin or √·.

We also present a formalization of interval arithmetic, which serves as the  
basis for our taylor models.
When: Wed Jan 20, 2016 14:00 – 14:45 Berlin
Where: MI 00.09.038 (Turing)
Calendar: Club2
Who:
     * julianbrunner at gmail.com - creator
     * trautc at in.tum.de
     * club2 at mailbroy.informatik.tu-muenchen.de

Event details:  
https://www.google.com/calendar/event?action=VIEW&eid=bmVpaWZkaWNwdjQ3dXZjaGZsZGkydXVwZDQgY2x1YjJAbWFpbGJyb3kuaW5mb3JtYXRpay50dS1tdWVuY2hlbi5kZQ&tok=NTIjc2U2ZWJlM3RvZmY0Y2g1bm11bmlibTVtOThAZ3JvdXAuY2FsZW5kYXIuZ29vZ2xlLmNvbWEzNmU5M2E4ODc1MTZkNjQyNzc2OWUxODk0ZTU4MmExYmM0MmYxYzI&ctz=Europe/Berlin&hl=en

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