Results 1 to 10 of about 660,204 (197)
On the Complexity of Numerical Analysis [PDF]
We study two quite different approaches to understanding the complexity of fundamental problems in numerical analysis. We show that both hinge on the question of understanding the complexity of the following problem, which we call PosSlp: Given a division-free straight-line program producing an integer N, decide whether N>0.
Allender, Eric+3 more
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Analysis of Numerical Errors [PDF]
Abstract This paper provides a general framework for the quantitative analysis of stochastic dynamic models. We review the convergence properties of some numerical algorithms and available methods to bound approximation errors. We then address the convergence and accuracy properties of the simulated moments.
Manuel S. Santos, Adrian Peralta-Alva
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Meteorological data are extensively used to perform environmental learning. Soft Computing (SC) and Machine Learning (ML) techniques represent a valuable support in many research areas, but require datasets containing information related to the topic ...
Antonio Manuel Gómez-Orellana+4 more
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Wind energy production by means of diffusion stochastic process. Parameters estimation [PDF]
In this work, we attempt to model wind energy production via a stochastic diffusion process. We consider an Ito-type stochastic differential * equation (SDE) and determine the probabilistic characteristics of the stochastic process solution, particularly
Oubamou Zian, El Kettani Moummou
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Human intracranial pulsatility during the cardiac cycle: a computational modelling framework
Background Today’s availability of medical imaging and computational resources set the scene for high-fidelity computational modelling of brain biomechanics. The brain and its environment feature a dynamic and complex interplay between the tissue, blood,
Marius Causemann+2 more
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Numerical Analysis of an Osseointegration Model [PDF]
In this work, we study a bone remodeling model used to reproduce the phenomenon of osseointegration around endosseous implants. The biological problem is written in terms of the densities of platelets, osteogenic cells, and osteoblasts and the concentrations of two growth factors. Its variational formulation leads to a strongly coupled nonlinear system
Jacobo Baldonedo+2 more
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A critique of numerical analysis [PDF]
The author distinguishes numerical methodology from numerical analysis which is defined in a more narrow sense as concerning the rigorous study of (numerical) algorithms. His principal point is that today's increasingly large scientific computations require a reliable assessment of the accuracy of the results which in turn call for better theoretical ...
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Order 1 autoregressive process of finite length
The stochastic processes of finite length defined by recurrence relations request additional relations specifying the first terms of the process analogously to the initial conditions for the differential equations.
Călin Vamoş+2 more
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Evaluating associative classification algorithms for Big Data
Background Associative Classification, a combination of two important and different fields (classification and association rule mining), aims at building accurate and interpretable classifiers by means of association rules.
Francisco Padillo+2 more
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Numerical analysis for nematic electrolytes [PDF]
Abstract We consider a system of nonlinear PDEs modeling nematic electrolytes, and construct a dissipative solution with the help of its implementable, structure-inheriting and space–time discretization. Computational studies are performed to study the mutual effects of electric, elastic and viscous effects onto the molecules in a ...
Baňas, L'ubomír+2 more
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