659 citations · 2.4k across the 64 of their papers we have counts for
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A second-order accurate numerical method for the space-time tempered fractional diffusion-wave equation
Minghua Chen, Weihua Deng
This paper focuses on providing the high order algorithms for the space-time tempered fractional diffusion-wave equation. The designed schemes are unconditionally stable and have t…
Convergence proof for the multigrid method of the nonlocal model
Minghua Chen, Weihua Deng
Recently, nonlocal models attract the wide interests of scientist. They mainly come from two applied scientific fields: peridyanmics and anomalous diffusion. Even though the matric…
Variational formulation and efficient implementation for solving the tempered fractional problems
Weihua Deng, Zhijiang Zhang
Because of the finiteness of the life span and boundedness of the physical space, the more reasonable or physical choice is the tempered power-law instead of pure power-law for the…
Characterization of Image Spaces of Riemann-Liouville Fractional Integral Operators on Sobolev Spaces
Lijing Zhao, Weihua Deng, Jan S Hesthaven
Fractional operators are widely used in mathematical models describing abnormal and nonlocal phenomena. Although there are extensive numerical methods for solving the corresponding…
Galerkin Finite Element Approximations for Stochastic Space-Time Fractional Wave Equations
Yajing Li, Yejuan Wang, Weihua Deng
The traditional wave equation models wave propagation in an ideal conducting medium. For characterizing the wave propagation in inhomogeneous media with frequency dependent power-l…
Uniform convergence of V-cycle multigrid algorithms for two-dimensional fractional Feynman-Kac equation
Minghua Chen, Weihua Deng, Stefano Serra-Capizzano
In this paper we derive new uniform convergence estimates for the V-cycle MGM applied to symmetric positive definite Toeplitz block tridiagonal matrices, by also discussing few con…