Mar 9, 2024 · We consider a fully discretized Sobolev gradient flow, which can be regarded as the Riemannian gradient descent on the sphere under a metric induced by a ...
We propose a new normalized Sobolev gradient flow for the Gross--Pitaevskii eigenvalue problem based on an energy inner product that depends on time through ...
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Mar 9, 2024 · We consider a fully discretized Sobolev gradient flow, which can be regarded as the Riemannian gradient descent on the sphere under a metric induced by a ...
This paper studies the numerical approximation of the ground state of the Gross-Pitaevskii (GP) eigenvalue problem with a fully discretized Sobolev gradient ...
This paper studies the numerical approximation of the ground state of the Gross-Pitaevskii (GP) eigenvalue problem with a fully discretized Sobolev gradient ...
Fully discretized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem. Publication , Preprint. Chen, Z; Lu, J; Lu, Y; Zhang, X. March 9, 2024.
We study the convergences of three projected Sobolev gradient flows to the ground state of the Gross–Pitaevskii eigenvalue problem.
SIAM J. Numer. Anal. 2024. We study the convergences of three projected Sobolev gradient flows to the ground state of the Gross-Pitaevskii eigenvalue problem.
The main goal of this paper is to generalize the aforementioned energy-adaptive gradient flow to the case of rotating BECs and to extend the convergence ...
Abstract. We propose a new normalized Sobolev gradient flow for the Gross--Pitaevskii eigen- value problem based on an energy inner product that depends on ...