In this paper, we evaluate the performance of multilevel Monte Carlo method (MLMC) for deterministic and uncertain hyperbolic systems, where randomness is introduced either in modeling parameters or approximation algorithms. MLMC a well known variance reduction widely used to accelerate (MC) sampling. However, demonstrate paper that whether can achieve real boost turns out be delicate. The comp...

Several areas in Semarang City have been unable to get a clean water supply through the Local Water Company (PDAM) channel. One of solutions that can be done overcome this problem is by utilizing groundwater, which obtained building deep well made obtain rock layers accommodate and drain groundwater (aquifer layer). To find out approximate depth aquifer layer, it necessary conduct preliminary i...

Uncertainty quantification plays an important role in problems that involve inferring a parameter of initial value problem from observations the solution. Conrad et al.\ (\textit{Stat.\ Comput.}, 2017) proposed randomisation deterministic time integration methods as strategy for quantifying uncertainty due to unknown discretisation error. We consider this systems are described by deterministic,...

he purpose of this work is to introduce and study the concept of minimal deterministic automaton with IF-outputs which realizes the given IF-language. Among two methods for construction of such automaton presented here, one is based on Myhill-Nerode's theory while the other is based on derivatives of the given IF-language. Meanwhile, the categories of deterministic automata with IF-outputs and ...