Honghu Liu Books

Stochastic Parameterizing Manifolds and Non Markovian Reduced Equations
Stochastic Parameterizing Manifolds and Non Markovian Reduced Equations

By Shouhong Wang, Mickael D. D. Chekroun, Honghu Liu

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In this second volume, a general approach is developed to provide approximate parameterizations of the "small" scales by the "large" ones for a broad class of stochastic partial differential equati...

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Approximation of Stochastic Invariant Manifolds
Approximation of Stochastic Invariant Manifolds

By Shouhong Wang, Mickael D. Chekroun, Honghu Liu

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This first volume is concerned with the analytic derivation of explicit formulas for the leading-order Taylor approximations of (local) stochastic invariant manifolds associated with a broad class...

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If you’ve ever purchased a product online or in a store, you’ve likely come across a barcode. Behind these barcodes lies a standardized system that makes modern commerce possible. Two key codes often encountered are the EAN (European Article Number) and ISBN (International Standard Book Number). But what are they, how are they connected, and why are they so crucial? Let’s explore.

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