5,766 research outputs found

    Fully Discrete Approximations to the Time-Dependent Navier–Stokes Equations with a Projection Method in Time and Grad-Div Stabilization

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    This paper studies fully discrete approximations to the evolutionary Navier{ Stokes equations by means of inf-sup stable H1-conforming mixed nite elements with a grad-div type stabilization and the Euler incremental projection method in time. We get error bounds where the constants do not depend on negative powers of the viscosity. We get the optimal rate of convergence in time of the projection method. For the spatial error we get a bound O(hk) for the L2 error of the velocity, k being the degree of the polynomials in the velocity approximation. We prove numerically that this bound is sharp for this method.MINECO grant MTM2016-78995-P (AEI)Junta de Castilla y León grant VA024P17Junta de Castilla y León grant VA105G18MINECO grant MTM2015-65608-

    The future of branch cash holdings management is here: New Markov chains

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    Liquidity management is one of the main concerns of the banking sector since it provides control in key areas such as treasury management, working capital financing and business valuation. Under the assumption that branch efficiency makes a fundamental contribution towards the effective performance of the global banking institution, this paper provides a new methodology (Markov Chains by blocks) in order to achieve knowledge on the branch cash holdings: conditions which ensure optimal cash holdings, recurring properties which help to better predict cash holdings shifts and the study of the branch cash holdings steady-states using Ergodic Theory. These findings will let bank managers know the time validity of the current cash holdings. This is a crucial advantage to ensure efficient cash management: while helping keep banking institutions on sound financial footing by guaranteeing the compulsory-by-law safety cushion, it also allows bank managers to make sound decisions upon fund investments

    A model towards global demographics: an application—a universal bank branch geolocator based on branch size

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    Financial support from the Spanish Ministry of Science and Innovation “Regulación Financiera y Sector Bancario en Tiempos de Inestabilidad: Mecanismos de Prevención y Resolución de la Crisis” (ECO2014-59584-P), Junta de Andalucía “Excellence Groups” (P12.SEJ.2463) and Junta de Andalucía (SEJ340) is gratefully acknowledged.Branch size strongly depends on branch cash holdings. However, while any exhaustive study into branch cash holdings1 must include demographics around branches, there are major variations when defining demographics according to “local” parameters, as opposed to “internationally accepted” ones. This wide fluctuation in definitions makes cross-border comparisons very difficult. The present paper intends to overcome these difficulties by developing a global spatial model that uses cash holdings as a major determinant of branch size and where geographical concepts are replaced by “internationally accepted” notions. Specifically, the contributions of this paper are twofold: firstly, it presents a theoretical model (based on Markov and Gibbs random fields) to analyse the branch cash holdings from a global spatial standpoint. Secondly, it introduces a universal branch geolocator based around a decision model that redesigns the bank branch network according to branch size. Importantly, the model variables (including branch size as the main criterion) can be replaced/expanded as needed through the use of a highly versatile decision-making tool that can be applied to a wide range of contexts, even non-banking ones as long as they are influenced by demographics.Spanish Ministry of Science and Innovation (ECO2014-59584-P)Junta de Andalucía (P12.SEJ.2463), (SEJ340
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