The phrase "approximation which is based" is correct and usable in written English.
You can use it when discussing a method or calculation that relies on a certain foundation or principle.
Example: "The approximation which is based on the initial data provided yields a more accurate result."
Alternatives: "estimate that relies on" or "calculation founded on".
PEDEM tries to overcome this computational bottleneck by introducing some approximations, which are based on the analysis of the eigensolutions of the dynamic load matrix vs. frequency.
Later on, Ceng and Yao [11] also introduced an extragradient-like approximation method, which is based on the above extragradient method and viscosity approximation method, and proved the strong convergence result under certain conditions.
The closure approximation of Baldyga, which is based on a prescribed form of the probability density function, is applied in modelling chemical reactions.
In this paper we consider an approximation to the RTE, which is based on the assumption that scattering media consist of weakly and highly scattering regions, whose transport coefficients differ by an order of magnitude.
Also, since the notion of static slice is generally undecidable, we introduce a complete approximation for computing static slices which is based on the construction of a term dependence graph, the counterpart of program dependence graphs.
In a previous attempt to link gene essentiality with the gene expression level, the codon adaptation index (CAI, [ 30]) was used as an approximation for gene expression [ 18] which is based on the assumption that highly expressed genes are generally optimized for translation speed and accuracy [ 31].
Therefore, we propose a new approach, which is based on polynomial approximation in order to estimate the nonlinear HPA.
Our results differ from the findings of Morris et al. (2010), possibly because of the different imaging approach they take, which is based on approximations of cell position derived from following cell nuclei.
An adaptive scheme for stochastic approximation with polynomial chaos bases is proposed which is based on a displacement velocity norm and is applied to the identification of phase orbits of nonlinear oscillators.
Resilience values can be approximated numerically using Ref [33]'s algorithm, which is based on the Ref [34]'s viability kernel approximation algorithm.
