Sharp Error Estimates on a Stochastic Structure-Preserving Scheme in Computing Effective Diffusivity of 3D Chaotic Flows

DOI10.1137/19M1275516zbMath1496.65192arXiv1808.06309OpenAlexW3185497695MaRDI QIDQ5006472

Zhongjian Wang, Zhiwen Zhang, Jack X. Xin

Publication date: 16 August 2021

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.06309

zbMATH Keywords

Markov processergodic theoryeffective diffusivitychaotic flowsconvection-enhanced diffusionstructure- preserving scheme

Mathematics Subject Classification ID

Diffusion (76R50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Euler equations (35Q31) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (3)

Computing effective diffusivities in 3D time-dependent chaotic flows with a convergent Lagrangian numerical method ⋮ A Semi-Lagrangian Computation of Front Speeds of G-equation in ABC and Kolmogorov Flows with Estimation via Ballistic Orbits ⋮ A Convergent Interacting Particle Method and Computation of KPP Front Speeds in Chaotic Flows

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