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We give a general inequality for the total variation distance between a Poisson distributed random variable and a first order stochastic integral with respect to a point process with stochastic intensity, constructed by embedding in a bivariate Poisson process. We apply this general inequality to… |
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This work focuses on the numerical analysis of one-dimensional nonlinear diffusion equations involving a convolution product. First, homogeneous friction equations are considered. Algorithms follow recent ideas on mass transportation methods and lead to simple schemes which can be proved to be… |
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Background: High-throughput technologies enable the cost-effective collection and analysis of DNA methylation data throughout the human genome. This naturally entails missing values management that can complicate the analysis of the data. Several general and specific imputation methods are suitable… |
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By applying Helmholtz decomposition, the unknowns of a linearized Euler system can be recast as solutions of uncoupled linearwave equations. Accordingly, the Kirchhoff expression of the exact solutions is recast as a time-marching, Lax-Wendroff type, numerical scheme for which consistency with one-… |
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This paper deals with the numerical solution of
optimal control problems for ODEs. The approach is based on the
coupling between quadrature rules and continuous Runge-Kutta
solvers and it lies in the framework of direct optimization methods
and recursive discretization techniques. The… |
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The representation of real systems with network models is becoming increasingly common and critical to both capture and simplify systems' complexity, notably, via the partitioning of networks into communities. In this respect, the definition of modularity, a common and broadly used quality measure… |
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The equations describing engineering and real-life models are usually
derived in an approximated way. Thus, in most cases it is necessary to deal
with equations containing some kind of perturbation. In this paper we consider
fractional dfferential equations and study the eects on the continuous
and… |
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