381 citations · 1k across the 39 of their papers we have counts for
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Finite difference schemes for the tempered fractional Laplacian
Z. Z. Zhang, W. H. Deng, H. T. Fan
The second and all higher order moments of the -stable Lévy process diverge, the feature of which is sometimes referred to as shortcoming of the model when applied to physical p…
Discontinuous Galerkin methods and their adaptivity for the tempered fractional (convection) diffusion equations
Xudong Wang, Weihua Deng
This paper focuses on the adaptive discontinuous Galerkin (DG) methods for the tempered fractional (convection) diffusion equations. The DG schemes with interior penalty for the di…
Feynman-Kac Equations for Reaction and Diffusion Processes
Ru Hou, Weihua Deng
This paper provides a theoretical framework of deriving the forward and backward Feynman-Kac equations for the distribution of functionals of the path of a particle undergoing both…
Localization and ballistic diffusion for the tempered fractional Brownian-Langevin motion
Yao Chen, Xudong Wang, Weihua Deng
This paper further discusses the tempered fractional Brownian motion, its ergodicity, and the derivation of the corresponding Fokker-Planck equation. Then we introduce the generali…
Boundary problems for the fractional and tempered fractional operators
Weihua Deng, Buyang Li, Wenyi Tian +1
For characterizing the Brownian motion in a bounded domain: , it is well-known that the boundary conditions of the classical diffusion equation just rely on the given informatio…