Double power series method for approximating cosmological perturbations [PDF]
, 2017 We introduce a double power series method for finding approximate analytical solutions for systems of differential equations commonly found in cosmological perturbation theory.
Malik, Karim A., Wren, Andrew J.
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Expectation propagation for large scale Bayesian inference of non-linear molecular networks from perturbation data. [PDF]
PLoS ONE, 2017 Inferring the structure of molecular networks from time series protein or gene expression data provides valuable information about the complex biological processes of the cell.
Zahra Narimani +4 more
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ONE-DIMENSIONAL SIMULATIONS OF INHOMOGENEITY GROWTH IN PRESSURELESS GRAVITATING MATTER
Odessa Astronomical Publications, 2013 We study a model of the inhomogeneity growth in the Universe filled with a pressureless matter. The standard hydrodynamical equations for the cosmological perturbations in the comoving frame are treated taking into account all nonlinear terms.
V. I. Zhdanov, V. M. Sliusar
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Asymptotic behavior of solutions of a system of nonlinear differential equations with small parameter [PDF]
E3S Web of Conferences, 2023 The present paper addresses a qualitative pattern of the behavior of solutions of a system of ordinary differential equations when small parameter tends to zero at a finite amount of time where slow variable passes through a certain point that ...
Petelina Vera
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Mathematics, 2023 In this paper, we analytically study the two-dimensional unsteady irrotational flow of an ideal incompressible fluid in a half-plane whose boundary is assumed to be a linear sink.
Nikolay M. Zubarev
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A study of Ralston's cubic convergence with the application of population growth model
AIMS Mathematics, 2022 This paper deals a new numerical scheme to solve fractional differential equation (FDE) involving Caputo fractional derivative (CFD) of variable order β∈]0,1].
Sara S. Alzaid +2 more
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Classification of singular points in polarization field of CMB and eigenvectors of Stokes matrix [PDF]
, 1998 Analysis of the singularities of the polarization field of CMB, where polarization is equal to zero, is presented. It is found that the classification of the singular points differs from the usual three types known in the ordinary differential equations.
A. D. Dolgov +14 more
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Symmetries of th-Order Approximate Stochastic Ordinary Differential Equations
Journal of Applied Mathematics, 2012 Symmetries of th-order approximate stochastic ordinary differential equations (SODEs) are studied. The determining equations of these SODEs are derived in an Itô calculus context. These determining equations are not stochastic in nature.
E. Fredericks, F. M. Mahomed
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On construction of the comparison function of program motion in probable statement
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In the class of ordinary differential equations the following modification of the inverse problem of differential systems was previously considered: to construct both a set of systems of differential equations and a set of comparison functions for the ...
G.K. Vassilina, M.I. Tleubergenov
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Stratified discontinuous differential equations and sufficient conditions for robustness [PDF]
, 2015 International audienceThis paper is concerned with state-constrained discontinuous ordinary differential equations for which the corresponding vector field has a set of singularities that forms a stratification of the state domain. Existence of solutions
Hermosilla, Cristopher
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