Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Hong-Kui Pang"'
Publikováno v:
Numerical Linear Algebra with Applications.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d1c140d5c78dd4c721f6767c3912d419
https://doi.org/10.1002/nla.2474
https://doi.org/10.1002/nla.2474
Publikováno v:
Numerical Algorithms. 90:31-57
We propose a fast solver for the variable-order (VO) time-fractional diffusion equation. Due to the impact of the time-dependent VO function, the resulting coefficient matrix of the large linear system assembling discrete equations of all time levels
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ee2c6d760da2c3e14ffc2118f4113f81
https://doi.org/10.1007/s11075-021-01178-7
https://doi.org/10.1007/s11075-021-01178-7
Publikováno v:
Frontiers of Mathematics in China. 16:345-379
The top eigenpairs at the title mean the maximal, the submaximal, or a few of the subsequent eigenpairs of an Hermitizable matrix. Restricting on top ones is to handle with the matrices having large scale, for which only little is known up to now. Th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a1b1ff824b81dc6ac1992ad15ff498d9
https://doi.org/10.1007/s11464-021-0909-6
https://doi.org/10.1007/s11464-021-0909-6
Publikováno v:
Computers & Mathematics with Applications. 85:18-29
We consider fast solving a class of spatial fractional diffusion equations where the fractional differential operators are comprised of Riemann–Liouville and Caputo fractional derivatives. A circulant-based approximate inverse preconditioner is est
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e454fea04a2f7a76fdd7b26aedfe29ff
https://doi.org/10.1016/j.camwa.2021.01.007
https://doi.org/10.1016/j.camwa.2021.01.007
Publikováno v:
International Journal of Computer Mathematics. 98:1015-1028
In this paper, we consider an inverse scattering problem of reconstructing the shape and impedance for a cavity from one point source and several measurements placed on a curve inside the cavity. T...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7026671b5376bccff065726df281b928
https://doi.org/10.1080/00207160.2020.1802015
https://doi.org/10.1080/00207160.2020.1802015
Autor:
Hai-Wei Sun, Hong-Kui Pang
Publikováno v:
Journal of Scientific Computing. 87
We propose a fast algorithm for the variable-order (VO) space-fractional advection-diffusion equations with nonlinear source terms on a finite domain. Due to the impact of the space-dependent the VO, the resulting coefficient matrices arising from th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e945758f0d7de3315b28dc82a66d11f
https://doi.org/10.1007/s10915-021-01427-w
https://doi.org/10.1007/s10915-021-01427-w
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 39:1547-1563
In this paper we provide the explicit expression and sharper bounds of the chordal metric between generalized singular values of Grassmann matrix pairs. The new results involve the constrained opti...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::21c4d03637fd29692d49e17f71a7bed5
https://doi.org/10.1137/17m1140510
https://doi.org/10.1137/17m1140510
Autor:
Hong-kui Pang, Gang Wu
Publikováno v:
Linear Algebra and its Applications. 522:51-70
The Jacobi–Davidson method is one of the most popular approaches for iteratively computing a few eigenvalues and their associated eigenvectors of a large matrix. The key of this method is to expand the search subspace via solving the Jacobi–David
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1e0910f085f8c80371e702c4ce1ab2b6
https://doi.org/10.1016/j.laa.2017.02.007
https://doi.org/10.1016/j.laa.2017.02.007
Autor:
Hong-Kui Pang, Hai-Wei Sun
Publikováno v:
Computers & Mathematics with Applications. 71:1287-1302
In this paper, we devote to the study of high order finite difference schemes for one- and two-dimensional time-space fractional sub-diffusion equations. A fourth order finite difference scheme is invoked for the spatial fractional derivatives, and t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::686acc7d5a05875b0e7c6ac758c26161
https://doi.org/10.1016/j.camwa.2016.02.011
https://doi.org/10.1016/j.camwa.2016.02.011
Publikováno v:
Journal of Computational Physics. 299:130-143
After spatial discretization to the fractional diffusion equation by the shifted Grunwald formula, it leads to a system of ordinary differential equations, where the resulting coefficient matrix possesses the Toeplitz-like structure. An exponential q
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1b10040206bfd6a8b3f1b98665fd55eb
https://doi.org/10.1016/j.jcp.2015.07.001
https://doi.org/10.1016/j.jcp.2015.07.001