numerical instability - meaning and definition. What is numerical instability
Diclib.com
ChatGPT AI Dictionary
Enter a word or phrase in any language 👆
Language:

Translation and analysis of words by ChatGPT artificial intelligence

On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:

  • how the word is used
  • frequency of use
  • it is used more often in oral or written speech
  • word translation options
  • usage examples (several phrases with translation)
  • etymology

What (who) is numerical instability - definition

FLUID BREAKUP OF A FALLING STREAM
Plateau-Raleigh instability; Rayleigh instability; Plateau-Rayleigh instability
  • PEG]] in water
  • Rain water flux from a canopy. Among the forces that govern drop formation: Plateau–Rayleigh instability, [[Surface tension]], [[Cohesion (chemistry)]], [[Van der Waals force]].
  • Intermediate stage of a jet breaking into drops. Radii of curvature in the axial direction are shown. Equation for the radius of the stream is <math>R(z) = R_0 + A_k \cos(kz)</math>, where <math>R_0</math> is the radius of the unperturbed stream, <math>A_k</math> is the amplitude of the perturbation, <math>\scriptstyle z</math> is distance along the axis of the stream, and <math>k</math> is the wave number
  • Water dropping from a tap

Genome instability         
HIGH FREQUENCY OF MUTATIONS WITHIN THE GENOME OF A CELLULAR LINEAGE
Genomic instability; Genetic instability
Genome instability (also genetic instability or genomic instability) refers to a high frequency of mutations within the genome of a cellular lineage. These mutations can include changes in nucleic acid sequences, chromosomal rearrangements or aneuploidy.
numerical analysis         
STUDY OF ALGORITHMS THAT USE NUMERICAL APPROXIMATION FOR THE PROBLEMS OF MATHEMATICAL ANALYSIS
Numerical Analysis; Numerical solution; Numerical methods; Numerical approximation; Numerically; Numerical computation; Numberic; Numerical mathematics; Numerical calculus; Numeric analysis; Numerical algorithm; Numeric method; Numeral analysis; Numerical software; Numerical programming; Numerical evaluation; Numerical calculation; Numeric computation; Numerical computing; Numerical analysis software; Numerical analyst; History of numerical analysis; Numeric algorithm
¦ noun the branch of mathematics concerned with the development and use of numerical methods for solving problems.
numerically         
STUDY OF ALGORITHMS THAT USE NUMERICAL APPROXIMATION FOR THE PROBLEMS OF MATHEMATICAL ANALYSIS
Numerical Analysis; Numerical solution; Numerical methods; Numerical approximation; Numerically; Numerical computation; Numberic; Numerical mathematics; Numerical calculus; Numeric analysis; Numerical algorithm; Numeric method; Numeral analysis; Numerical software; Numerical programming; Numerical evaluation; Numerical calculation; Numeric computation; Numerical computing; Numerical analysis software; Numerical analyst; History of numerical analysis; Numeric algorithm

Wikipedia

Plateau–Rayleigh instability

The Plateau–Rayleigh instability, often just called the Rayleigh instability, explains why and how a falling stream of fluid breaks up into smaller packets with the same volume but less surface area. It is related to the Rayleigh–Taylor instability and is part of a greater branch of fluid dynamics concerned with fluid thread breakup. This fluid instability is exploited in the design of a particular type of ink jet technology whereby a jet of liquid is perturbed into a steady stream of droplets.

The driving force of the Plateau–Rayleigh instability is that liquids, by virtue of their surface tensions, tend to minimize their surface area. A considerable amount of work has been done recently on the final pinching profile by attacking it with self-similar solutions.