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Everything about Interval arithmetic
Method for bounding the errors of numerical computations
Interval arithmetic is a mathematical technique used to mitigate rounding and measurement errors in mathematical computation by computing function bounds. Numerical methods involving interval arithmetic can guarantee relatively reliable and mathematically correct results. Instead of representing a value as a single number, interval arithmetic or interval mathematics represents each value as a range of possibilities. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Interval arithmeticA 5-minute orientation
- Skim a recent paper: Affine-arithmetic-based microgrid interval optimization considering uncertainty and battery energy storage system degradationInfluential work since 2022
- Pick up a classic book: C++ toolbox for verified computing IThe most-reprinted book on the subject
- Read the landmark paper: Interval arithmeticCited 265 times
- Go sideways: Atan2A closely related topic
- Go sideways: Probability density functionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Interval arithmetic
Interval arithmetic in power flow analysis
Fast and Parallel Interval Arithmetic
Single level constraint interval arithmetic
Complex interval arithmetic
Interval Arithmetic, Affine Arithmetic, Taylor Series Methods: Why, What Next?
Interval Arithmetic in Cylindrical Algebraic Decomposition
ON ARITHMETIC OPERATIONS OF INTERVAL NUMBERS
🆕 Influential since 2022
Affine-arithmetic-based microgrid interval optimization considering uncertainty and battery energy storage system degradation
On Searching All Solutions of Filter Topologies Based on Interval Arithmetic
Certifying Zeros of Polynomial Systems Using Interval Arithmetic
Distributed generation hosting capacity analysis: An approach using interval-affine arithmetic and power flow sensitivities
The challenges of modeling using fuzzy standard interval arithmetic: A case study in electrical engineering
📚 Books worth reading
C++ toolbox for verified computing IRolf Hammer, Matthias Hocks · 1995
Complex interval arithmetic and its applicationsMiodrag Petković · 1998- 📕Computer arithmetic in theory and practiceUlrich Kulisch · 1981
Computer arithmetic in theory and practiceUlrich Kulisch · 1981- 📕Compendium musices latino-germanicumLorenz Erhardi · 1660
Perspectives on enclosure methodsUlrich Kulisch · 2001
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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