The phrase "an alternative approximation" is correct and usable in written English.
It can be used when discussing different methods or estimates that can be used in place of a primary one.
Example: "In our analysis, we found that an alternative approximation provided more accurate results under certain conditions."
Alternatives: "a different estimate" or "another 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.
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.
Here, we present an alternative approximation to the mutant-frequency distribution that does not make any assumptions about the magnitude of selection or mutation and is much more computationally efficient than the standard diffusion approximation.
Norman (1975) derived an alternative approximation to the Wright Fisher process, known as the Gaussian diffusion, in which the effects of selection and mutation die off less rapidly compared to genetic drift as the population size gets larger and the selection and mutation parameters tend to zero.
As an alternative, approximations to these techniques led to the development of methods in which only the physical protein-bound and unbound states of the ligand are evaluated in simulation, substantially reducing computational costs while still including thermal effects on binding [14].
Then, we study the alternative approximation of A and f by weighted arithmetic averages of their respective values at consecutive time-grid points.
There are several different ways to calculate the intrinsic curvature of a surface (do Carmo 1976), however because meshed surfaces are not differentiable, alternative approximation methods have been developed (Surazhsky et al. 2003).
Given the inherent limitations of the Weitzman procedure, especially when the number of breeds is large, the alternative approximation algorithm of Garcia et al. [ 22] was also tested with the 13 geographical breed groups [see Additional file 4: Figure S3] to investigate the partial contributions of each breed to genetic diversity.
In this paper we develop a technique for interpolation with quotients of two radial basis function (RBF) expansions to approximate such functions as an alternative to rational approximation.
