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Stability and Convergence of the Crank–Nicolson/Adams–Bashforth scheme for the Time‐Dependent Navier–Stokes Equations

✍ Scribed by He, Yinnian; Sun, Weiwei

Book ID
118190931
Publisher
Society for Industrial and Applied Mathematics
Year
2007
Tongue
English
Weight
330 KB
Volume
45
Category
Article
ISSN
0036-1429

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The approximation of a Crank–Nicolson sc
The approximation of a Crank–Nicolson scheme for the stochastic Navier–Stokes equations
✍ Xiaoyuan Yang; Wei Wang; Yuanyuan Duan 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 677 KB

In this paper we prove the convergence of stochastic Navier-Stokes equations driven by white noise. A linearized version of the implicit Crank-Nicolson scheme is considered for the approximation of the solutions to the N-S equations. The noise is defined as the distributional derivative of a Wiener