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Interval Methods for Scientific Computing in Julia

Offered By: The Julia Programming Language via YouTube

Tags

Julia Courses Scientific Computing Courses Constraint Programming Courses

Course Description

Overview

Explore interval methods for scientific computing in Julia through this JuliaCon 2019 conference talk by David P. Sanders. Discover how interval constraint propagation provides guaranteed descriptions of feasible sets for nonlinear inequalities using contractors. Learn about the IntervalConstraintProgramming.jl package and its applications in root finding and global optimization. Delve into the mathematical foundations, including IntervalArithmetic.jl and the Forward-Backward contractor. Gain insights into implementation details, higher-dimensional intervals, and unbounded optimization. The talk covers an introduction to the speaker, an outline of the presentation, practical applications, mathematical explanations, and concludes with a summary and Q&A session.

Syllabus

Speaker introduction.
Outline.
The IntervalConstraintProgramming.jl package.
Applications - Root finding.
How does the math work?.
IntervalArithmetic.jl.
The Forward-Backward contractor.
How is it implemented?.
Intervals in higher dimensions.
Application - Unbounded optimization.
Summary.
Questions.


Taught by

The Julia Programming Language

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