"rigorous error" is a correct and usable phrase in written English.
It can be used to describe an error that is thorough, strict, or exacting. Example: The research team's analysis was met with rigorous error-checking by their peers before being published in a prestigious scientific journal.
Numerical results are given, and rigorous error estimates are described.
Application of these algorithms in commercial solvers requires rigorous error controllability.
New theoretical results are presented illustrating rigorous error bounds, residual characteristics, accuracy, and convergence rates.
Through rigorous error analysis, we determine the optimal contour on which the integral is evaluated.
The rigorous error estimates in the energy norm for both methods are established.
By the spectral theory of compact operators, the rigorous error estimates for the approximate eigenvalues and eigenfunctions are provided.
Numerical results have demonstrated that retransmission at the data link layer alleviate rigorous error-control requirements at the physical layer and thereby allows higher data rate transmission.
First, the error bounds must be rigorous - valid for all N and for all parameter values in the parameter domain D : non-rigorous error 'indicators' may suffice for adaptivity during basis assembling, but not for reliability.
We have also shown the stability of the ENO-wavelet transforms and obtained a rigorous approximation error bound which shows that the error in the ENO-wavelet approximation depends only on the size of the derivative of the function away from the discontinuities.
We derive rigorous weighted error estimates which provide more precise convergence rate for problems with singularities at boundaries.
Model practitioners increasingly place emphasis on rigorous quantitative error analysis in aquatic biogeochemical models and the existing initiatives range from the development of alternative metrics for goodness of fit, to data assimilation into operational models, to parameter estimation techniques.
