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Analysis and simulation of a stochastic reaction-diffusion model for HBV infection under antiviral treatment. [PDF]
Tchioffo BR, Mvogo A, Ele Abiama P.
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Data-driven, ML-assisted approaches to problem well-posedness. [PDF]
Bertalan T +5 more
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Virtual cell: Current perspectives and future prospects. [PDF]
Li J +5 more
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Dynamic properties of an SARS-CoV-2 epidemic model via stochastic PINNs. [PDF]
Xie L, Yang J, Li Z.
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Mathematical analysis of a stochastic delay model for respiratory syncytial virus dynamics. [PDF]
Raza A +4 more
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Contraction of stochastic differential equations
Communications in Nonlinear Science and Numerical Simulation, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On solving stochastic differential equations
Monte Carlo Methods and Applications, 2019Abstract This paper proposes a new approach to solving Ito stochastic differential equations. It is based on the well-known Monte Carlo methods for solving integral equations (Neumann–Ulam scheme, Markov chain Monte Carlo). The estimates of the solution for a wide class of equations do not have a bias, which distinguishes them from ...
Sergej M. Ermakov, Anna A. Pogosian
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Stochastic differential equations
Physics Reports, 1976Abstract In chapter I stochastic differential equations are defined and classified, and their occurrence in physics is reviewed. In chapter II it is shown for linear equation show a differential equation for the averaged solution is obtained by expanding in ατ c , where α measures the size of the fluctuations and τ c their autocorrelation time. This
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Stochastic differential equations
2011In this chapter we present some basic results on stochastic differential equations, hereafter shortened to SDEs, and we examine the connection to the theory of parabolic partial differential equations.
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Numerical Methods for Stochastic Differential Equations
Stochastic Hydrology and Hydraulics, 1991Numerical methods for stochastic differential equations, including Taylor expansion approximations, Runge-Kutta like methods and implicit methods, are summarized. Important differences between simulation techniques with respect to the strong (pathwise) and the weak (distributional) approximation criteria are discussed. Applications to the visualization
Kloeden, Peter E., Platen, Eckhard
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