Stable Lévy diffusion and related model fitting

DOI10.15559/18-VMSTA106zbMath1426.60055arXiv1902.01598OpenAlexW3187519321MaRDI QIDQ2326525

Xu Guo, Paramita Chakraborty, Hong Wang

Publication date: 8 October 2019

Published in: Modern Stochastics. Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.01598

zbMATH Keywords

fractional diffusionfractional advection-dispersionheavy-tailed particle trackingstable Lévy diffusion

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes (60J60)

Cites Work

• Low-rank solvers for fractional differential equations
• A preconditioned fast finite volume scheme for a fractional differential equation discretized on a locally refined composite mesh
• A stochastic differential equation model with jumps for fractional advection and dispersion
• Numerical solution of the space fractional Fokker-Planck equation.
• POD/DEIM reduced-order modeling of time-fractional partial differential equations with applications in parameter identification
• Finite difference approximations for fractional advection-dispersion flow equations
• A superfast-preconditioned iterative method for steady-state space-fractional diffusion equations
• Optimization theory and methods. Nonlinear programming
• Minimization of functions having Lipschitz continuous first partial derivatives
• Lévy Processes and Stochastic Calculus
• Variational formulation for the stationary fractional advection dispersion equation
• A locally conservative Eulerian-Lagrangian control-volume method for transient advection-diffusion equations
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