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In conclusion, the cell average technique with improved irregular triangular mesh can be seen as the smartest solution technique for the solution of bivariate population balance equations.
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The solution of a bivariate population balance equation (PBE) for aggregation of particles necessitates a large 2-d domain to be covered.
Table 2 shows the result of bivariate regression analysis.
We prove weak and strong convergence theorems for a double Krasnoselskij-type iterative method to approximate coupled solutions of a bivariate nonexpansive operator F : C × C → C, where C is a nonempty closed and convex subset of a Hilbert space.
We investigate the hardness of finding solutions to bivariate polynomial congruences modulo RSA composites.
This paper presents a study on the application of an extended sectional grid technique for the solution of the dynamic bivariate population balance equation (PBE) in batch particulate systems.
The solution of a singly truncated bivariate distribution can be found in [23].
Then, we applied these parallel numerical integration algorithms in the DuQMoGeM solution of the PBE for three bivariate cases, obtaining speedups between 11 and 15.
To overcome computational difficulty imposed by non-convexity of the problem, we rely on recent theoretical development on variational convergence of bivariate functions to design a solution algorithm with analysis on its convergence properties.
The comparison of univariate and bivariate FCs confirms the superiority of bivariate FCs.
The general theory of bivariate hotspot detection is explained, including the bivariate binomial model, the multivariate exceedance approach, and the bivariate Poisson distribution.
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