Approximation of the Fractional SDEs with Stochastic Forcing by Kęstutis Kubilius

“…Using the implicit Euler and Milstein approximation schemes, the conditions for the pathwise convergence rate of these approximations to the solution of the fractional SDEs with stochastic forcing are found.…”
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An Approximation of Semigroups Method for Stochastic Parabolic Equations by Allaberen Ashyralyev, Mehmet Emin San

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Fractional SDEs with stochastic forcing: Existence, uniqueness, and approximation by Kęstutis Kubilius

“… In this article, we are interested in fractional stochastic differential equations (FSDEs) with stochastic forcing, i.e., to FSDE we add a stochastic forcing term. …”
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Markov-Chain Perturbation and Approximation Bounds in Stochastic Biochemical Kinetics by Alexander Y. Mitrophanov

“…We begin by discussing the general problem of approximate modeling in stochastic chemical kinetics. …”
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Approximate and Exact Controllability for Hilfer Fractional Stochastic Evolution Equations by Qien Li, Danfeng Luo

“…This paper investigates the controllability of Hilfer fractional stochastic evolution equations (HFSEEs). Initially, we obtain a conclusion regarding the approximate controllability of HFSEEs by employing the Tikhonov-type regularization method and Schauder′s fixed-point theorem. …”
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Symmetries of th-Order Approximate Stochastic Ordinary Differential Equations by E. Fredericks, F. M. Mahomed

“…Symmetries of th-order approximate stochastic ordinary differential equations (SODEs) are studied. …”
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On approximation of stochastic integrals with respect to a fractional Brownian motion by Kęstutis Kubilius

Subjects: “…approximation…”
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Simultaneous perturbation stochastic aproximation for Lipshitz functions by Vaida Bartkutė, Leonidas Sakalauskas

Subjects: “…stochastic approximation…”
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Approximate Controllability of Semilinear Neutral Stochastic Integrodifferential Inclusions with Infinite Delay by Meili Li, Man Liu

“…The approximate controllability of semilinear neutral stochastic integrodifferential inclusions with infinite delay in an abstract space is studied. …”
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Gaussian approximation of dynamic cavity equations for linearly-coupled stochastic dynamics by Mattia Tarabolo, Luca Dall'Asta

“…Starting with a graphical model representation of the dynamic partition function for a system of linearly-coupled stochastic differential equations, we use dynamic cavity equations on locally tree-like factor graphs to approximate the stochastic measure. …”
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Approximate Controllability of a 3D Nonlinear Stochastic Wave Equation by Peng Gao

“…We study the well-posedness of a 3D nonlinear stochastic wave equation which derives from the Maxwell system by the Galerkin method. …”
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Empirical Approximation for the Stochastic Fundamental Diagram of Traffic Flow on Signalized Intersection by Nan Zhang, Xiaoguang Yang, Wangjing Ma

“…To describe the uncertainty of FD, in this work we established stochastic fundamental diagram (SFD) which is defined by the distributions of shockwave speed. …”
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A deterministic criterion for approximate controllability of stochastic differential equations with jumps by Junfei Guo, Zhiyuan Huang, Rui Sun, Zhao Yikai

Subjects: “…Stochastic systems…”
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An approximate diffusion process for environmental stochasticity in infectious disease transmission modelling. by Sanmitra Ghosh, Paul J Birrell, Daniela De Angelis

“…An elegant approach to capturing environmental stochasticity is to model the force of infection as a stochastic process. …”
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Convergence Analysis of the Approximation Problems for Solving Stochastic Vector Variational Inequality Problems by Meiju Luo, Kun Zhang

“…In this paper, we consider stochastic vector variational inequality problems (SVVIPs). …”
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Long-time analytic approximation of large stochastic oscillators: Simulation, analysis and inference. by Giorgos Minas, David A Rand

“…We present a new stochastic approximation of biological oscillators that addresses these needs. …”
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Stochastic differential equations with bad coefficients: a short note on the weak approximations by Antanas Lenkšas

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APPROXIMATE CONTROLLABILITY OF IMPULSIVE STOCHASTIC SYSTEMS DRIVEN BY ROSENBLATT PROCESS AND BROWNIAN MOTION by Abbes Benchaabane

Subjects: “…approximate controllability, fixed point theorem, rosenblatt process, mild solution stochastic impulsive systems.…”
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Approximating the Solution Stochastic Process of the Random Cauchy One-Dimensional Heat Model by A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló, M. A. Sohaly

“…The theoretical results are illustrated by means of an example where reliable approximations of the mean and standard deviation to the solution stochastic process are given.…”
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Neural Network-Based Imitation Learning for Approximating Stochastic Battery Management Systems by Andrea Pozzi, Alessandro Incremona, Daniele Toti

“…In response to this challenge, this paper presents a novel approach that adapts imitation learning to efficiently approximate stochastic predictive control strategies, thus significantly reducing the computational burden through offline training. …”
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