Zobrazeno 1 - 10
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pro vyhledávání: '"Daniel X. Guo"'
Autor:
Daniel X. Guo
Publikováno v:
Electronic Journal of Differential Equations, Vol Conference, Iss 26, Pp 97-113 (2022)
Externí odkaz:
https://doaj.org/article/096eab92ebf34f338a54c3a1d6906346
Autor:
Daniel X. Guo
Publikováno v:
Electronic Journal of Differential Equations, Vol 2016, Iss 23, Pp 9-20 (2016)
A second-order fully discretized projection method for the incompressible Navier-Stokes equations is proposed. It is an explicit method for updating the pressure field. No extra conditions of immediate velocity fields are needed. The stability an
Externí odkaz:
https://doaj.org/article/88d32bf8e00243a9b4073ae63c637614
Autor:
Daniel X. Guo
Publikováno v:
Journal of Computational and Applied Mathematics. 324:72-84
In this article, one-step semi-Lagrangian method is investigated for computing the numerical solutions of the first-order time-dependent nonlinear partial differential equations in 1D with initial and boundary conditions. This method is based on Lagr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b75a531ba798b71fe37237988387437
https://doi.org/10.1016/j.cam.2017.04.022
https://doi.org/10.1016/j.cam.2017.04.022
Autor:
Daniel X. Guo
Publikováno v:
Applied Numerical Mathematics. 96:187-202
The stability and convergence of a second-order fully discretized projection method for the incompressible Navier-Stokes equations is studied. In order to update the pressure field faster, modified fully discretized projection methods are proposed. I
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d9a47dba2bd936e896cff00a452d1c02
https://doi.org/10.1016/j.apnum.2015.05.008
https://doi.org/10.1016/j.apnum.2015.05.008
Autor:
Daniel X. Guo
Publikováno v:
Journal of Applied Analysis & Computation. 3:251-263
In this paper, a Semi-Lagrangian Runge-Kutta method is proposed to com-pute the numerical solution of time-dependent partial di®erential equations.The method is based on Lagrangian trajectory or the integration from the de-parture points to the arri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::db574f8f5330e0b99ce2ef2ba820ea4a
https://doi.org/10.11948/2013018
https://doi.org/10.11948/2013018
Autor:
Daniel X. Guo
Publikováno v:
Numerical Methods for Partial Differential Equations. 22:1035-1051
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::da554a7ec871d0f7e14884e96bf6f8a0
https://doi.org/10.1002/num.20136
https://doi.org/10.1002/num.20136
Autor:
Daniel X. Guo, John B. Drake
Publikováno v:
Journal of Computational Physics. 206:559-577
A new formulation of a semi-implicit, semi-Lagrangian spectral method is given together with a conformal mapping of the underlying Gaussian grid. The mapping based on the Schmidt transformation focuses grid resolution on a particular region. The adve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7313bf076729de40b09f6be5ad6d0fe2
https://doi.org/10.1016/j.jcp.2004.12.020
https://doi.org/10.1016/j.jcp.2004.12.020
Autor:
Daniel X. Guo
Publikováno v:
Applied Numerical Mathematics. 35:307-322
In Guo, 1999, we investigated the stability and convergence of a second-order numerical scheme for computing two- and three-dimensional, time-dependent incompressible flows governed by the Navier–Stokes equations. In this article, we continue to di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::61e8f4d24591687a9faebbea2ff1f1c7
https://doi.org/10.1016/s0168-9274(99)00139-7
https://doi.org/10.1016/s0168-9274(99)00139-7
Autor:
Daniel X. Guo
Publikováno v:
Numerical Functional Analysis and Optimization. 20:881-900
In this paper, a fully discretized projection method is introduced. It contains a parameter operator. Depending on this operator, we can obtain a first-order scheme, which is appropriate for theoretical analysis, and a second-order scheme, which is m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::531007d09120a1bec334f14d4e05040b
https://doi.org/10.1080/01630569908816929
https://doi.org/10.1080/01630569908816929
Autor:
Daniel X. Guo
Publikováno v:
Numerical Methods for Partial Differential Equations. 13:237-256
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::adeac88b92ee402f1b633873fa7d4c79
https://doi.org/10.1002/(sici)1098-2426(199705)13:3<237::aid-num2>3.0.co
https://doi.org/10.1002/(sici)1098-2426(199705)13:3<237::aid-num2>3.0.co