numerical stability

[/njuːˈmɛrɪkəl stəˈbɪlɪti/]
nounfeminine
estabilidade numérica
1. The property of a numerical algorithm to produce accurate and reliable results despite the presence of rounding errors and other sources of computational error in floating-point arithmetic.
The numerical stability of this algorithm makes it suitable for solving large systems of linear equations.
A estabilidade numérica deste algoritmo o torna adequado para resolver grandes sistemas de equações lineares.
2. A measure of how errors in computation propagate and accumulate during the execution of a mathematical algorithm.
Engineers must consider numerical stability when selecting methods for differential equation solvers.
Engenheiros devem considerar a estabilidade numérica ao selecionar métodos para resolvedores de equações diferenciais.
3. The resistance of a computational method to the amplification of small perturbations or errors in input data.
Good numerical stability ensures that small changes in input do not cause large variations in output.
Boa estabilidade numérica garante que pequenas mudanças na entrada não causem grandes variações na saída.
This is a technical term primarily used in academic, engineering, and computational science contexts in both Brazil and the USA. It is essential in fields such as numerical analysis, computational fluid dynamics, finite element analysis, and scientific computing. The term is standardized in both Portuguese and English technical literature and education.
Synonyms / Sinônimos
numerical robustnessalgorithmic stabilitycomputational stability
Antonyms / Antônimos
numerical instabilityill-conditioningnumerical sensitivity

Regional Variations

General Brazilian
estabilidade numérica
Standard term used in mathematics, engineering, and computer science education
São Paulo
estabilidade numérica
Commonly used in technical and academic contexts, particularly in engineering schools
Portugal
estabilidade numérica
Identical usage in Portuguese academic and technical literature
General English (USA)
numerical stability
Standard term in mathematics and computational science throughout North America

Related Words

floating-point arithmeticrounding erroralgorithmerror propagationcondition numberconvergence

Related Idioms & Phrases

maintain numerical stability
ensure numerical stability
assess numerical stability
improve numerical stability
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