Zobrazeno 1 - 10
of 70
pro vyhledávání: '"S. H. Lui"'
Autor:
S. H. Lui, Sarah Nataj
Publikováno v:
ETNA - Electronic Transactions on Numerical Analysis. 52:295-319
Spectral methods can solve elliptic partial differential equations (PDEs) numerically with errors bounded by an exponentially decaying function of the number of modes when the solution is analytic. For time-dependent problems, almost all focus has be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e3d5b2f32e1a1e8379936bd85933817d
https://doi.org/10.1553/etna_vol52s295
https://doi.org/10.1553/etna_vol52s295
Publikováno v:
Commun. Appl. Math. Comput. Sci. 15, no. 1 (2020), 65-87
A third-order multirate time-stepping based on an SSP Runge–Kutta method is applied to solve the three-dimensional Maxwell’s equations on unstructured tetrahedral meshes. This allows for an evolution of the solution on fine and coarse meshes with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1aad5590cbe027ced1f81092942a1529
https://projecteuclid.org/euclid.camcos/1593072126
https://projecteuclid.org/euclid.camcos/1593072126
Publikováno v:
Journal of Differential Equations. 264:2865-2896
In this article we obtain positive singular solutions of (1) − Δ u = | ∇ u | p in Ω , u = 0 on ∂ Ω , where Ω is a small C 2 perturbation of the unit ball in R N . For N N − 1 p 2 we prove that if Ω is a sufficiently small C 2 perturbatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e7454d18e116455dc857c4915937ed78
https://doi.org/10.1016/j.jde.2017.11.009
https://doi.org/10.1016/j.jde.2017.11.009
Publikováno v:
Nonlinear Analysis. 166:19-47
This paper examines the existence and regularity of classical positive solutions of − Δ u = | ∇ u | p on a bounded domain in R N with 0 p 1 . This appears to be the first paper to discuss dead core solutions for a PDE with a nonlinear advection
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f9680f49fbfe50c3d9df59fc8468ba67
https://doi.org/10.1016/j.na.2017.10.007
https://doi.org/10.1016/j.na.2017.10.007
Publikováno v:
East Asian Archives of Psychiatry. 30:120-121
We describe a 58-year-old Chinese man with schizophrenia who presented with an elevated clozapine level suspected to be related to acute infection.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::082909cf0fa4b62410e7c4a1c6bb5f9f
https://doi.org/10.12809/eaap1954
https://doi.org/10.12809/eaap1954
Autor:
Sarah Nataj, S. H. Lui
Publikováno v:
Journal of Computational and Applied Mathematics. 385:113204
Broyden’s method is a quasi-Newton method which is used to solve a system of nonlinear equations. Almost all convergence theories in the literature assume existence of a root and bounds on the nonlinear function and its derivative in some neighbour
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ceb55976378c948f6e048682329e4988
https://doi.org/10.1016/j.cam.2020.113204
https://doi.org/10.1016/j.cam.2020.113204
Autor:
S. H. Lui, Sarah Nataj
Publikováno v:
Journal of Computational Physics. 424:109843
Spectral methods solve elliptic partial differential equations (PDEs) numerically with errors bounded by an exponentially decaying function of the number of modes when the solution is analytic. For time dependent problems, almost all focus has been o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1121425dfe1710ba1153b5e1a35a92e8
https://doi.org/10.1016/j.jcp.2020.109843
https://doi.org/10.1016/j.jcp.2020.109843
Autor:
S. H. Lui
Publikováno v:
Numerische Mathematik. 136:75-99
Spectral methods solve partial differential equations numerically with errors bounded by an exponentially decaying function of the number of modes when the solution is analytic. For time dependent problems, almost all focus has been on low-order fini
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::964a94ccbf2eb96e4b9b9b30e321babd
https://doi.org/10.1007/s00211-016-0834-x
https://doi.org/10.1007/s00211-016-0834-x
Publikováno v:
Numerical Functional Analysis and Optimization, 37(10), 1213-1234. Taylor and Francis Ltd.
In this article, we are concerned with domain decomposition methods for the stationary incompressible Navier-Stokes equation. We construct an adaptive additive Schwarz method based on discretization by means of a divergence-free wavelet frame. We pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb3a1dc10bab3e4a632477a469e9613f
https://doi.org/10.1080/01630563.2016.1198916
https://doi.org/10.1080/01630563.2016.1198916
Autor:
Sarah Nataj, S. H. Lui
Publikováno v:
Applied Mathematics and Computation. 369:124829
The Perry nonlinear conjugate gradient method and scaled memoryless BFGS method are two quasi-Newton methods for unconstrained minimization. All convergence theory in the literature assume existence of a minimizer and bounds on the objective function
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c94d6e82ff1d62bf34a27851ddb7420
https://doi.org/10.1016/j.amc.2019.124829
https://doi.org/10.1016/j.amc.2019.124829