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An integro-differential equation of Prandtl's type and a collocation method as well as a collocationquadrature
method for its approximate solution is studied in weighted spaces of continuous functions. |
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Proteins are the core and the engine of every process in cells thus the study of mechanisms that drive the regulation of protein expression, is essential. Transcription factors play a central role in this extremely complex task and they synergically co-operate in order to provide a fine tuning of… |
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A recent approach to generate a zero divergence velocity field by operating directly on the discretized Navier-Stokes equations is used to obtain the decoupling of the pressure from the velocity field. By following the methodology suggested by Amit, Hall, and Porsching the feasibility of treating… |
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Understanding the complexity of the cellular machinery represents a grand challenge in molecular biology. To contribute to the deconvolution of this complexity, a novel inference algorithm based on linear ordinary differential equations is proposed, based solely on high-throughput gene expression… |
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In this paper we develop a direct quadrature method for solving Volterra-Fredholm integral equations on an unbounded spatial domain. These problems, when related to some important physical and biological phenomena, are characterized by kernels that present variable peaks along space. The method we… |
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A genuinely two-dimensional discretization of general drift-diffusion (including incompressible Navier--Stokes) equations is proposed. Its numerical fluxes are derived by computing the radial derivatives of "bubbles" which are deduced from available discrete data by exploiting the stationary… |
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The world lines of null particles admit arbitrary parametrizations. In the presence of a family of observers one may introduce along a null world line an extension of the so-called Cattaneo's relative standard time parameter (valid for massive particles) which plays a special role. Another… |
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We deal with integral equations with a singular kernel of Carlman type. A method to approach to the solution of these equations is given. Infinite matrix theory is used to determine the Fourier coefficients of the solution in the expansion in a series of orthogonal polynomials. |
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In this paper we present an innovative and automatic procedure
which is used to extract the coastline from SAR (Synthetic Aperture
Radar) images by the level set model. This model consists in a PDE (Partial
Differential Equation) equation governing the evolution of a curve
corresponding to the zero… |
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Particle-laden turbulent flows occur in a variety of industrial applications as well as in naturally occurring flows. While the numerical simulation of such flows has seen significant advances in recent years, it still remains a challenging problem. Many studies investigated the rheology of dense… |
