Wen-An Yong - Academia.edu (original) (raw)
Papers by Wen-An Yong
arXiv (Cornell University), Oct 14, 2020
![Research paper thumbnail of Difference approximations to the global W¹,[infinite]-solutions of the isentropic gas equations](https://attachments.academia-assets.com/109809695/thumbnails/1.jpg)
](
arXiv (Cornell University), Jun 13, 2023
Journal of Computational Physics, 2022
arXiv (Cornell University), Jul 21, 2014
Journal of Differential Equations, Feb 1, 2022
Mathematical biosciences, Dec 1, 2015
Journal of Mathematical Analysis and Applications, Apr 1, 2016
Abstract In this paper, we present a generalization of the Kullerback–Leibler (KL) divergence in ... more Abstract In this paper, we present a generalization of the Kullerback–Leibler (KL) divergence in form of the Tsallis statistics. In parallel with the classical KL divergence, several important properties of this new generalization, including the pseudo-additivity, positivity and monotonicity, are shown. Moreover, some strengthened estimates on the positivity of the new divergence and the information loss during transformations are obtained.
arXiv (Cornell University), Jun 21, 2010
arXiv (Cornell University), Sep 16, 2011
Multiscale Modeling & Simulation, 2019
This paper opens a series of papers focusing on boundary conditions for kinetic theory based mode... more This paper opens a series of papers focusing on boundary conditions for kinetic theory based models. As a start, we consider the lattice Boltzmann models and construct certain parametrized single-n...
Journal of Computational Physics, Nov 1, 2015
In this paper, we employ an asymptotic analysis technique and construct two boundary schemes acco... more In this paper, we employ an asymptotic analysis technique and construct two boundary schemes accompanying the lattice Boltzmann method for convection-diffusion equations with general Robin boundary conditions. One scheme is for straight boundaries, with the boundary points locating at any distance from the lattice nodes, and has second-order accuracy. The other is for curved boundaries, has only first-order accuracy and is much simpler than the existing schemes. Unlike those in the literature, our schemes involve only the current lattice node. Such a "single-node" boundary schemes are highly desirable for problems with complex geometries. The two schemes are validated numerically with a number of examples. The numerical results show the utility of the constructed schemes and very well support our theoretical predications.
arXiv (Cornell University), Jan 16, 2023
. This work develops a singular perturbation theory for initial-value problemsof nonlinear first-... more . This work develops a singular perturbation theory for initial-value problemsof nonlinear first-order hyperbolic systems with stiff source terms in several spacevariables. It is observed that under reasonable assumptions, many equations of classicalphysics of that type admit a structural stability condition. This condition is equivalentto the well-known subcharacteristic condition for one-dimensional 2 \Theta 2-systems and thewell-known time-like condition for scalar
arXiv (Cornell University), Nov 17, 2020
Mathematical Methods in The Applied Sciences, May 2, 2023
In this paper, we are concerned with the nonrelativistic limit of a class of computable approxima... more In this paper, we are concerned with the nonrelativistic limit of a class of computable approximation models for radiation hydrodynamics. The models consist of the compressible Euler equations coupled with moment closure approximations to the radiative transfer equation. They are first‐order partial differential equations with source terms. As hyperbolic relaxation systems, they are showed to satisfy the structural stability condition proposed by the second author. Based on this, we verify the nonrelativistic limit by combining an energy method with a formal asymptotic analysis.
HAL (Le Centre pour la Communication Scientifique Directe), 2006
International audienc
Journal of Scientific Computing, Apr 29, 2023
Acta Mathematicae Applicatae Sinica, Apr 1, 1991
In this paper, the author constructs a class of explicit schemes, spanning two time levels, for t... more In this paper, the author constructs a class of explicit schemes, spanning two time levels, for the initial-boundary-value problems of generalized nonlinear Schrödinger systems, and proves the convergence of these schemes with a series of prior estimates. For a single Schrödinger equation, the schemes are identical with those of the article [1].
arXiv (Cornell University), Oct 14, 2020
arXiv (Cornell University), Jun 13, 2023
Journal of Computational Physics, 2022
arXiv (Cornell University), Jul 21, 2014
Journal of Differential Equations, Feb 1, 2022
Mathematical biosciences, Dec 1, 2015
Journal of Mathematical Analysis and Applications, Apr 1, 2016
Abstract In this paper, we present a generalization of the Kullerback–Leibler (KL) divergence in ... more Abstract In this paper, we present a generalization of the Kullerback–Leibler (KL) divergence in form of the Tsallis statistics. In parallel with the classical KL divergence, several important properties of this new generalization, including the pseudo-additivity, positivity and monotonicity, are shown. Moreover, some strengthened estimates on the positivity of the new divergence and the information loss during transformations are obtained.
arXiv (Cornell University), Jun 21, 2010
arXiv (Cornell University), Sep 16, 2011
Multiscale Modeling & Simulation, 2019
This paper opens a series of papers focusing on boundary conditions for kinetic theory based mode... more This paper opens a series of papers focusing on boundary conditions for kinetic theory based models. As a start, we consider the lattice Boltzmann models and construct certain parametrized single-n...
Journal of Computational Physics, Nov 1, 2015
In this paper, we employ an asymptotic analysis technique and construct two boundary schemes acco... more In this paper, we employ an asymptotic analysis technique and construct two boundary schemes accompanying the lattice Boltzmann method for convection-diffusion equations with general Robin boundary conditions. One scheme is for straight boundaries, with the boundary points locating at any distance from the lattice nodes, and has second-order accuracy. The other is for curved boundaries, has only first-order accuracy and is much simpler than the existing schemes. Unlike those in the literature, our schemes involve only the current lattice node. Such a "single-node" boundary schemes are highly desirable for problems with complex geometries. The two schemes are validated numerically with a number of examples. The numerical results show the utility of the constructed schemes and very well support our theoretical predications.
arXiv (Cornell University), Jan 16, 2023
. This work develops a singular perturbation theory for initial-value problemsof nonlinear first-... more . This work develops a singular perturbation theory for initial-value problemsof nonlinear first-order hyperbolic systems with stiff source terms in several spacevariables. It is observed that under reasonable assumptions, many equations of classicalphysics of that type admit a structural stability condition. This condition is equivalentto the well-known subcharacteristic condition for one-dimensional 2 \Theta 2-systems and thewell-known time-like condition for scalar
arXiv (Cornell University), Nov 17, 2020
Mathematical Methods in The Applied Sciences, May 2, 2023
In this paper, we are concerned with the nonrelativistic limit of a class of computable approxima... more In this paper, we are concerned with the nonrelativistic limit of a class of computable approximation models for radiation hydrodynamics. The models consist of the compressible Euler equations coupled with moment closure approximations to the radiative transfer equation. They are first‐order partial differential equations with source terms. As hyperbolic relaxation systems, they are showed to satisfy the structural stability condition proposed by the second author. Based on this, we verify the nonrelativistic limit by combining an energy method with a formal asymptotic analysis.
HAL (Le Centre pour la Communication Scientifique Directe), 2006
International audienc
Journal of Scientific Computing, Apr 29, 2023
Acta Mathematicae Applicatae Sinica, Apr 1, 1991
In this paper, the author constructs a class of explicit schemes, spanning two time levels, for t... more In this paper, the author constructs a class of explicit schemes, spanning two time levels, for the initial-boundary-value problems of generalized nonlinear Schrödinger systems, and proves the convergence of these schemes with a series of prior estimates. For a single Schrödinger equation, the schemes are identical with those of the article [1].