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We model the problem as a dynamic program, design and implement approximate dynamic programming (ADP) algorithms to solve it, to overcome the well-known curses of dimensionality.
The calculation of the critical flow (choke) condition is analysed with respect to existing standard calculations procedures (API and Omega methods) that implement approximate procedures and may not be extended to temperature/pressure regions near the thermodynamic critical point.
They implement approximate optimization using available techniques such as linear programming, to balance complex business factors and come close to optimal profits at all cloud layers.
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The elsepa code also implements approximate factorization methods that allow the fast calculation of elastic cross sections for much higher energies.
By means of an inference engine implementing approximate reasoning schemas derived from the Generalized Modus Ponens (Zadeh, 1975; Zalila, 1993), appropriate fuzzy rules can be fired to calculate the final decision of the fuzzy system.
Since spatial simulations are mainly dominated by diffusion, the largest gain in efficiency may come with implementing approximate methods for diffusion.
Here we present an extensible Python package, ABC-SysBio, which implements approximate Bayesian computation for parameter inference and model selection in deterministic and stochastic models.
Analytical solutions for the marginal likelihood do not exist; therefore, several methods were implemented approximating the marginal likelihood while searching for the maximum likelihood.
For this reason, we also implement the approximate, numerically efficient ensemble Monte Carlo method and assess its applicability on the above mentioned transport problems.
The method is simple and easy to implement to approximate potential-dependent activation energies at the computational cost of a singly hydrogenation barrier calculation and can aid in the development of more active and selective catalysts for electrochemical reactions.
A lot of different algorithms have been designed to implement the approximate solution of specific problems.
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