Stochastic solutions and singular partial differential equations
Communications in Nonlinear Science and Numerical Simulation, 2023 The technique of stochastic solutions, previously used for deterministic equations, is here proposed as a solution method for partial differential equations driven by distribution-valued noises.
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Advanced Functional Materials, EarlyView.Quantum sensing reveals intricate patterns linking endo‐lysosomal maturation to cardiac fibrosis progression, highlighting complexity in cellular remodeling. This study investigates fibroblast‐to‐myofibroblast transition under cell aging, stiffness, and TGF‐β stimulation, comparing nanodiamond uptake, endo‐lysosomal dynamics, and free radical ...
Aldona Mzyk +3 more
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Existence and Stability of Solutions for Nonautonomous Stochastic Functional Evolution Equations
Journal of Inequalities and Applications, 2009 We establish the results on existence and exponent stability of solutions for a semilinear nonautonomous neutral stochastic evolution equation with finite delay; the linear part of this equation is dependent on time and generates a linear evolution ...
Fu Xianlong
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Removing the Correlation Term in Option Pricing Heston Model: Numerical Analysis and Computing
Abstract and Applied Analysis, 2013 This paper deals with the numerical solution of option pricing stochastic volatility model described by a time-dependent, two-dimensional convection-diffusion reaction equation.
R. Company +3 more
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Accelerated Discovery of High Performance Ni3S4/Ni3Mo HER Catalysts via Bayesian Optimization
Advanced Functional Materials, EarlyView.Integrated workflow accelerates the catalyst discovery of hydrogen evolution reaction via Bayesian optimization. An experiment‐trained surrogate model proposes synthesis conditions, guiding iterative refinement using electrochemical performance metrics.
Namuersaihan Namuersaihan +9 more
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Invariant manifolds for stochastic partial differential equations
The Annals of Probability, 2003 Invariant manifolds provide the geometric structures for describing and understanding dynamics of nonlinear systems. The theory of invariant manifolds for both finite and infinite dimensional autonomous deterministic systems, and for stochastic ordinary differential equations is relatively mature. In this paper, we present a unified theory of invariant
Duan, Jinqiao +2 more
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Advanced Functional Materials, EarlyView.Molecularly engineered memristors integrating Ag nanoparticle–embedded synthetic DNA with quasi‐2D halide perovskites enable ultra‐low‐operational voltage, forming‐free resistive switching, and record‐low power density. This synergistic integration of customized DNA and 2D OHP in bio‐hybrid architecture enhances charge transport, reduces variability ...
Kavya S. Keremane +9 more
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Journal of Probability and Statistics, 2010 We study the valuation of American-type derivatives in the stochastic volatility model of Barndorff-Nielsen and Shephard (2001). We characterize the value of such derivatives as the unique viscosity solution of an integral-partial differential equation ...
Alexandre F. Roch
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Numerical study in stochastic homogenization for elliptic partial differential equations: Convergence rate in the size of representative volume elements [PDF]
, 2020 Venera Khoromskaia +2 more
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Rigorous Derivation of the Degenerate Parabolic-Elliptic Keller-Segel System from a Moderately Interacting Stochastic Particle System. Part I Partial Differential Equation [PDF]
, 2023 Li Chen, Veniamin Gvozdik, Yue Li
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