numerical instability
[ˈnuːmərɪkəl ɪnˈsteɪbɪlɪti]
nounfemininepl: instabilidades numéricas
instabilidade numérica
1. A phenomenon in numerical analysis where small errors in computation are magnified during iterative calculations, leading to inaccurate or unreliable results
The algorithm suffered from numerical instability when processing very large matrices.
O algoritmo sofreu com instabilidade numérica ao processar matrizes muito grandes.
2. The tendency of a numerical method to produce increasingly inaccurate approximations due to accumulation of rounding errors or sensitivity to input perturbations
Researchers addressed the numerical instability by implementing higher precision arithmetic.
Os pesquisadores abordaram a instabilidade numérica implementando aritmética de maior precisão.
3. A condition where the solution to a numerical problem becomes highly sensitive to small changes in initial conditions or parameters
Numerical instability can render even well-formulated problems computationally unsolvable.
A instabilidade numérica pode tornar até problemas bem formulados computacionalmente insolúveis.
This is a specialized technical term primarily used in academic and professional contexts within mathematics, engineering, computer science, and physics. It is equally understood and used in both Brazil and Portugal, with no significant regional variations. The term has gained prominence with increased computational research in both countries' universities and research institutions.
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