Daxin Nie

activity

20182023

most citedFast algorithms for convolution quadrature of Riemann-Liouville fractional derivative

19 citations · 82 across the 21 of their papers we have counts for

collaborators

Showing 2021Show all

7 papers · 1 filter

math.NA2021

Regularity theory and numerical algorithm for the fractional Klein-Kramers equation

Jing Sun, Daxin Nie, Weihua Deng

Fractional Klein-Kramers equation can well describe subdiffusion in phase space. In this paper, we develop the fully discrete scheme for fractional Klein-Kramers equation based on…

math.NA2021

Numerical approximations for the fractional Fokker-Planck equation with two-scale diffusion

Jing Sun, Weihua Deng, Daxin Nie

Fractional Fokker-Planck equation plays an important role in describing anomalous dynamics. To the best of our knowledge, the existing discussions mainly focus on this kind of equa…

math.PR2021★ 1 cited

An inverse random source problem for the time-space fractional diffusion equation driven by fractional Brownian motion

Daxin Nie, Weihua Deng

We study the inverse random source problem for the time-space fractional diffusion equation driven by fractional Brownian motion with Hurst index $H \in (0, 1)$ . With the aid of a nov…

math.NA2021

A unified convergence analysis for the fractional diffusion equation driven by fractional Gaussion noise with Hurst index $H \in (0, 1)$

Daxin Nie, Weihua Deng

Here, we provide a unified framework for numerical analysis of stochastic nonlinear fractional diffusion equation driven by fractional Gaussian noise with Hurst index $H \in (0, 1)$ .…

math.NA2021★ 2 cited

Finite difference method for inhomogeneous fractional Dirichlet problem

Jing Sun, Weihua Deng, Daxin Nie

We make the split of the integral fractional Laplacian as $(- Δ)^{s} u = (- Δ) (- Δ)^{s - 1} u$ , where $s \in (0, \frac{1}{2}) \cup (\frac{1}{2}, 1)$ . Based on this splitting, we respectively discr…

math.NA2021

Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian

Daxin Nie, Weihua Deng

In this paper, we provide a framework of designing the local discontinuous Galerkin scheme for integral fractional Laplacian $(- Δ)^{s}$ with $s \in (0, 1)$ in two dimensions. We theor…

math.NA2021★ 1 cited

Numerical analysis for stochastic time-space fractional diffusion equation driven by fractional Gaussion noise

Daxin Nie, Weihua Deng

In this paper, we consider the strong convergence of the time-space fractional diffusion equation driven by fractional Gaussion noise with Hurst index $H \in (\frac{1}{2}, 1)$ . A shar…

Regularity theory and numerical algorithm for the fractional Klein-Kramers equation

Numerical approximations for the fractional Fokker-Planck equation with two-scale diffusion

An inverse random source problem for the time-space fractional diffusion equation driven by fractional Brownian motion

A unified convergence analysis for the fractional diffusion equation driven by fractional Gaussion noise with Hurst index H∈(0,1)

Finite difference method for inhomogeneous fractional Dirichlet problem

Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian

Numerical analysis for stochastic time-space fractional diffusion equation driven by fractional Gaussion noise

A unified convergence analysis for the fractional diffusion equation driven by fractional Gaussion noise with Hurst index $H \in (0, 1)$