The phrase "alternative approximation" is correct and usable in written English.
It can be used in contexts where you are discussing different methods or estimates that serve as substitutes for a primary approximation.
Example: "In our analysis, we considered an alternative approximation to improve the accuracy of our results."
Alternatives: "substitute estimate" or "different approximation".
Finally we present an alternative approximation to the matrix exponential which preserves positivity, and linear and quadratic stability.
Hence, we must explore an alternative approximation method to solve this problem.
Then, we study the alternative approximation of A and f by weighted arithmetic averages of their respective values at consecutive time-grid points.
Thus, in the late 1980s, density functional theory (DFT) coupled with local density corrected approximation (LDA) was developed as an alternative approximation method to derive reliable solutions to the Schrödinger equation for many-electron systems.
To provide a counter-balancing under-estimate of R* (r), I also consider an alternative approximation obtained by assuming the same total number of cases as predicted by this Reed-Frost model, but where all cases are assumed to be infected by the first index case.
An alternative approximation algorithm developed by Garcia et al. [ 22] was also used to analyze the 13 geographical breed groups.
Alternative approximations are also discussed.
Two major alternative approximations beyond the Born-Oppenheimer approach have been devised to tackle this aspect of the problem.
This paper examines alternative approximations for pressure derivatives next to the boundaries and for coordinate derivatives throughout the flow.
Alternative approximations of fundamental frequency are given in closed form within the relative error less than 0.4%, 0.6%, and 1.4% for cantilever, simply-supported, and bridged sensors, respectively.
Numerical results comparing the errors associated with line pack estimation on the basis of alternative approximations to the mean pressure, temperature, and compressibility factor are presented.
