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Probabilistic interpretation and random walk on spheres algorithms for the Poisson-Boltzmann equation in molecular dynamics

Mireille Bossy, Nicolas Champagnat, Sylvain Maire, Denis Talay (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

Motivated by the development of efficient Monte Carlo methods for PDE models in molecular dynamics, we establish a new probabilistic interpretation of a family of divergence form operators with discontinuous coefficients at the interface of two open subsets of ℝ d . This family of operators includes the case of the linearized Poisson-Boltzmann equation used to compute the electrostatic free energy of a molecule. More precisely, we explicitly construct a Markov process whose infinitesimal generator...

Representación de datos en meteorología mediante gráficos animados: episodios de lluvia.

Jorge-Luis Navarro (1987)

Qüestiió

Los campos escalares, bidimensionales y dependientes del tiempo, se representan generalmente en Meteorología mediante una sucesión de imágenes o análisis separados con una interdistancia temporal adecuada. Esta técnica alcanza su máximo desarrollo en lo que se conoce como gráfico animado.En el presente artículo se describen brevemente los procesos que, a partir de los datos, culminan con la generación de un análisis, imagen o fotograma, particularizando al caso de episodios de lluvia. Tras un resumen...

Self-adaptive air-sea simulation based on multi-sensors agentification

S. Peyruqueou, D. Capera, T. Médina, C. De Murcia (2010)

RAIRO - Operations Research

Combat Management System training uses simulation of an overall tactical situation. This involves the real-time management of numerous and diverse entities to keep the simulation scenario consistent in a highly dynamic environment. To address this difficult problem, we propose an adaptive multi-agent system in which each entity is considered as a smart sensor/effector mobile. The autonomy and the dynamic behaviour offered to each entity leads the simulation to self-adapt to inevitable disturbances...

Stochastic Lagrangian method for downscaling problems in computational fluid dynamics

Frédéric Bernardin, Mireille Bossy, Claire Chauvin, Jean-François Jabir, Antoine Rousseau (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

This work aims at introducing modelling, theoretical and numerical studies related to a new downscaling technique applied to computational fluid dynamics. Our method consists in building a local model, forced by large scale information computed thanks to a classical numerical weather predictor. The local model, compatible with the Navier-Stokes equations, is used for the small scale computation (downscaling) of the considered fluid. It is inspired by Pope's works on turbulence, and consists in...

The dynamics of the drum mower blade

Bartoň, Stanislav (2019)

Programs and Algorithms of Numerical Mathematics

The drum mower blade is freely rotatable around the fastening pin. During the operation of the mower, the centrifugal force and the resistance of the mowing material act on it. The presented article studies the effect of these forces on the behavior of the blade, in particular its oscillation around the steady state, depending on the properties of the cut material.

The estimation of electric power losses in electrical networks by fuzzy regression model using genetic algorithm.

A. V. Mogilenko, D. A. Pavlyuchenko (2004)

Mathware and Soft Computing

This paper presents the comparative study for fuzzy regression model using linear programming, fuzzy regression model using genetic algorithms and standard regression model. The fuzzy and standard models were developed for estimation of electric power losses in electrical networks. Simulation was carried out with a tool developed in MATLAB.

The Influence of Look-Ahead on the Error Rate of Transcription

Y. R. Yamada, C. S. Peskin (2010)

Mathematical Modelling of Natural Phenomena

In this paper we study the error rate of RNA synthesis in the look-ahead model for the random walk of RNA polymerase along DNA during transcription. The model’s central assumption is the existence of a window of activity in which ribonucleoside triphosphates (rNTPs) bind reversibly to the template DNA strand before being hydrolyzed and linked covalently to the nascent RNA chain. An unknown, but important, integer parameter of this model is the window...

Uses of new sensitivity and DAE solving methods in SmartMOBILE for verified analysis of mechanical systems

Ekaterina Auer, Wolfram Luther (2009)

International Journal of Applied Mathematics and Computer Science

Software for modeling and simulation (MSS) of mechanical systems helps to reduce production costs for industry. Usually, such software relies on (possibly erroneous) finite precision arithmetic and does not take into account uncertainty in the input data. The program SmartMOBILE enhances the existing MSS MOBILE with verified techniques to provide a guarantee that the obtained results are correct and measure the influence of data uncertainty. In this paper, we outline the main features and functionalities...

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