An Interval Calculus Based Approach to Determining the Area of Integration of the Entropy Density Function
| Autor: | Bartłomiej Jacek Kubica, Arkadiusz Orłowski |
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| Rok vydání: | 2020 |
| Předmět: |
Computer science
Entropy (statistical thermodynamics) Computation Quadrature (mathematics) Numerical integration Interval arithmetic Entropy (classical thermodynamics) Entropy density Applied mathematics Entropy (information theory) Entropy (energy dispersal) Heuristics Entropy (arrow of time) Entropy (order and disorder) |
| Zdroj: | Parallel Processing and Applied Mathematics ISBN: 9783030432218 PPAM (2) |
| DOI: | 10.1007/978-3-030-43222-5_35 |
| Popis: | This paper considers the problem of numerical computation of a definite integral of the entropy density function over a wide, potentially unbounded, domain. Despite there are efficient approaches to compute the quadrature over a finite (hyper)rectangle, it may be challenging to bound the whole domain, out of which the function is negligible. An approach based on the interval analysis is proposed in this paper. Preliminary numerical results are also discussed. |
| Databáze: | OpenAIRE |
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