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Mathematics, Volume 9, Issue 10

May-2 2021 - 85 articles

Cover Story: Splitting methods arise by splitting the vector field into two simpler parts that can be integrated, either exactly or very precisely. High order methods are obtained by composing several steps of these flows with suitable coefficients. In this work, we improve their efficiency when they are used as temporal integrators of spatial discretizations of initial boundary value problems. View this paper.
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Articles (85)

  • Review
  • Open Access
5 Citations
3,806 Views
13 Pages

The FMM Approach to Analyze Biomedical Signals: Theory, Software, Applications and Future

  • Cristina Rueda,
  • Itziar Fernández,
  • Yolanda Larriba and
  • Alejandro Rodríguez-Collado

19 May 2021

Oscillatory systems arise in the different biological and medical fields. Mathematical and statistical approaches are fundamental to deal with these processes. The Frequency Modulated Mobiüs approach (FMM), reviewed in this paper, is one of these app...

  • Article
  • Open Access
9 Citations
2,603 Views
12 Pages

19 May 2021

Power electronic converters are mathematically represented by a system of ordinary differential equations discontinuous right-hand side that does not verify the conditions of the Cauchy-Lipschitz Theorem. More generally, for the properties that chara...

  • Article
  • Open Access
5 Citations
2,606 Views
25 Pages

19 May 2021

In this paper, we discuss the demand side management (DSM) problem: how to incentivize a consumer to equalize the load during the day through price-dependent demand. Traditionally, the retail market offers several electricity payment schemes. A schem...

  • Article
  • Open Access
10 Citations
7,221 Views
38 Pages

Current Trends in Random Walks on Random Lattices

  • Jewgeni H. Dshalalow and
  • Ryan T. White

19 May 2021

In a classical random walk model, a walker moves through a deterministic d-dimensional integer lattice in one step at a time, without drifting in any direction. In a more advanced setting, a walker randomly moves over a randomly configured (non equid...

  • Article
  • Open Access
1 Citations
2,311 Views
19 Pages

18 May 2021

Motivated by the relative loss estimator of the median, we propose a new class of estimators for linear quantile models using a general relative loss function defined by the Box–Cox transformation function. The proposed method is very flexible. It in...

  • Article
  • Open Access
5 Citations
2,542 Views
17 Pages

Reliability Properties of the NDL Family of Discrete Distributions with Its Inference

  • Mohammed Mohammed Ahmed Almazah,
  • Badr Alnssyan,
  • Abdul Hadi N. Ahmed and
  • Ahmed Z. Afify

18 May 2021

The natural discrete Lindley (NDL) distribution is an intuitive idea that uses discrete analogs to well-known continuous distributions rather than using any of the published discretization techniques. The NDL is a flexible extension of both the geome...

  • Article
  • Open Access
6 Citations
2,712 Views
27 Pages

An Adaptive Cuckoo Search-Based Optimization Model for Addressing Cyber-Physical Security Problems

  • Mohamed Abdel-Basset,
  • Reda Mohamed,
  • Nazeeruddin Mohammad,
  • Karam Sallam and
  • Nour Moustafa

18 May 2021

One of the key challenges in cyber-physical systems (CPS) is the dynamic fitting of data sources under multivariate or mixture distribution models to determine abnormalities. Equations of the models have been statistically characterized as nonlinear...

  • Article
  • Open Access
10 Citations
3,140 Views
22 Pages

18 May 2021

Nonparametric regression becomes a potential solution if the parametric regression assumption is too restrictive while the regression curve is assumed to be known. In multivariable nonparametric regression, the pattern of each predictor variable’s re...

  • Article
  • Open Access
30 Citations
3,591 Views
19 Pages

Applied Machine Learning Algorithms for Courtyards Thermal Patterns Accurate Prediction

  • Eduardo Diz-Mellado,
  • Samuele Rubino,
  • Soledad Fernández-García,
  • Macarena Gómez-Mármol,
  • Carlos Rivera-Gómez and
  • Carmen Galán-Marín

18 May 2021

Currently, there is a lack of accurate simulation tools for the thermal performance modeling of courtyards due to their intricate thermodynamics. Machine Learning (ML) models have previously been used to predict and evaluate the structural performanc...

  • Article
  • Open Access
3 Citations
3,058 Views
29 Pages

18 May 2021

We present and prove a triple sum series formula for the European call option price in a market model where the underlying asset price is driven by a Variance Gamma process. In order to obtain this formula, we present some concepts and properties of...

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Mathematics - ISSN 2227-7390