Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Beiping Duan"'
Autor:
BEIPING DUAN, BUYANG LI
Publikováno v:
SIAM Journal on Scientific Computing; 2024, Vol. 46 Issue 1, pA587-A608, 22p
Autor:
BEIPING DUAN, ZONGZE YANG
Publikováno v:
SIAM Journal on Scientific Computing; 2023, Vol. 45 Issue 5, pA2226-A2249, 24p
Autor:
Beiping Duan
Publikováno v:
IMA Journal of Numerical Analysis.
This paper focuses on numerical approximation for fractional powers of elliptic operators on two-dimensional manifolds. Firstly, the parametric finite element method is employed to discretize the original problem. We then approximate fractional power
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::821fd5f9b122fcab82c0463cb18e27ea
https://doi.org/10.1093/imanum/drac050
https://doi.org/10.1093/imanum/drac050
Autor:
Beiping Duan
Publikováno v:
Annals of Applied Mathematics. 37:405-436
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::58a1e636af2eb2c106db371d9e564e5c
https://doi.org/10.4208/aam.oa-2021-0007
https://doi.org/10.4208/aam.oa-2021-0007
Publikováno v:
BIT Numerical Mathematics. 60:1203-1219
The steady state fractional convection diffusion equation with inhomogeneous Dirichlet boundary is considered. By utilizing standard boundary shifting trick, a homogeneous boundary problem is derived with a singular source term which does not belong
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d36f4bd7b85fc4a6f69bf7ac087aa32d
https://doi.org/10.1007/s10543-020-00812-5
https://doi.org/10.1007/s10543-020-00812-5
Publikováno v:
Journal of Scientific Computing. 88
We consider a finite element method with singularity reconstruction for fractional convection-diffusion equation involving Riemann-Liouville derivative of order $$\alpha \in (1,2)$$ . Jin et al. (ESAIM Math. Model. Numer. Anal. 49(5):1261–1283, 201
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a9c2048b4ba2be71a2b2a80f1ff317c1
https://doi.org/10.1007/s10915-021-01573-1
https://doi.org/10.1007/s10915-021-01573-1
Publikováno v:
IMA Journal of Numerical Analysis. 40:1746-1771
In this paper, we develop and study algorithms for approximately solving linear algebraic systems: ${{\mathcal{A}}}_h^\alpha u_h = f_h$, $ 0< \alpha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ee1d736129750d359c1e792ad94c23bb
https://doi.org/10.1093/imanum/drz013
https://doi.org/10.1093/imanum/drz013
Autor:
Zhoushun Zheng, Beiping Duan
Publikováno v:
Journal of Scientific Computing. 80:717-742
In this paper we aim at developing highly accurate and stable method in temporal direction for time-fractional diffusion equations with initial data $$v\in L^2(\varOmega )$$ . To this end we begin with a kind of (time-)fractional ODEs, and a hybrid m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ac3d123162b2d6327b0dea976ef85eac
https://doi.org/10.1007/s10915-019-00953-y
https://doi.org/10.1007/s10915-019-00953-y
Publikováno v:
Journal of Computational Physics. 461:111215
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ad18ce581e505b54ad0308fa53c8f73
https://doi.org/10.1016/j.jcp.2022.111215
https://doi.org/10.1016/j.jcp.2022.111215
Autor:
Beiping Duan, Zhimin Zhang
Publikováno v:
Journal of Scientific Computing. 87
In this work, we propose a new scheme based on numerical quadrature to calculate the two-parameter Mittag-Leffler function with discrete elliptic operator $$-{\mathcal {L}}_h$$ as input. Except pure mathematical interest from approximation theory, ou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::522bc22d7d07c6b595f8faa5042930a8
https://doi.org/10.1007/s10915-021-01495-y
https://doi.org/10.1007/s10915-021-01495-y