On the Convergence of Sobolev Gradient Flow for the Gross–Pitaevskii Eigenvalue Problem-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

On the Convergence of Sobolev Gradient Flow for the Gross–Pitaevskii Eigenvalue Problem

Published:2024-03-04 Issue:2 Volume:62 Page:667-691
ISSN:0036-1429
Container-title:SIAM Journal on Numerical Analysis
language:en
Short-container-title:SIAM J. Numer. Anal.

Author:

Chen Ziang¹^ORCID,Lu Jianfeng²^ORCID,Lu Yulong³,Zhang Xiangxiong⁴^ORCID

Affiliation:

1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139 USA.

2. Departments of Mathematics, Physics, and Chemistry, Duke University, Durham, NC 27708 USA.

3. School of Mathematics, University of Minnesota, Minneapolis, MN 55455 USA.

4. Department of Mathematics, Purdue University, West Lafayette, IN 47907 USA.

Funder

National Science Foundation

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Reference32 articles.

1. The J-method for the Gross–Pitaevskii eigenvalue problem

2. Energy-adaptive Riemannian optimization on the Stiefel manifold

3. Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

4. Class of solitary wave solutions of the one-dimensional Gross-Pitaevskii equation

5. Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Second-order Sobolev gradient flows for computing ground state of ultracold Fermi gases;Journal of Computational and Applied Mathematics;2024-12

2. Mixed finite elements for the Gross–Pitaevskii eigenvalue problem: a priori error analysis and guaranteed lower energy bound;IMA Journal of Numerical Analysis;2024-08-16

3. Riemannian Newton Methods for Energy Minimization Problems of Kohn–Sham Type;Journal of Scientific Computing;2024-08-13

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号京ICP备18003416号-3