Second-order Sobolev gradient flows for computing ground state of ultracold Fermi gases
From MaRDI portal
Publication:6582049
DOI10.1016/j.cam.2024.116096MaRDI QIDQ6582049
Publication date: 1 August 2024
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)
Cites Work
- Robust and efficient preconditioned Krylov spectral solvers for computing the ground states of fast rotating and strongly interacting Bose-Einstein condensates
- Numerical solution of the Kohn-Sham equation by finite element methods with an adaptive mesh redistribution technique
- Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT
- Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates
- Hamiltonian and gradient flows, algorithms and control
- A regularized Newton method for computing ground states of Bose-Einstein condensates
- A multilevel correction adaptive finite element method for Kohn-Sham equation
- Mathematical theory and numerical methods for Bose-Einstein condensation
- Exponential convergence of Sobolev gradient descent for a class of nonlinear eigenproblems
- Gradient flow finite element discretizations with energy-based adaptivity for the Gross-Pitaevskii equation
- Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates
- Second-order flows for computing the ground states of rotating Bose-Einstein condensates
- A Differential Equation for Modeling Nesterov's Accelerated Gradient Method: Theory and Insights
- On the Convergence of the Self-Consistent Field Iteration in Kohn--Sham Density Functional Theory
- Fast and Accurate Evaluation of Nonlocal Coulomb and Dipole-Dipole Interactions via the Nonuniform FFT
- A New Sobolev Gradient Method for Direct Minimization of the Gross–Pitaevskii Energy with Rotation
- Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow
- Energy-adaptive Riemannian optimization on the Stiefel manifold
- Sobolev Gradient Flow for the Gross--Pitaevskii Eigenvalue Problem: Global Convergence and Computational Efficiency
- Gradient Flow Based Kohn--Sham Density Functional Theory Model
- A Preconditioned Conjugated Gradient Method for Computing Ground States of Rotating Dipolar Bose-Einstein Condensates via Kernel Truncation Method for Dipole-Dipole Interaction Evaluation
- Numerical methods for Kohn–Sham density functional theory
- On the Analysis of the Discretized Kohn--Sham Density Functional Theory
- Normalized Gradient Flow with Lagrange Multiplier for Computing Ground States of Bose--Einstein Condensates
- An Orthogonalization-Free Parallelizable Framework for All-Electron Calculations in Density Functional Theory
- An SAV Method for Imaginary Time Gradient Flow Model in Density Functional Theory
- A Linearized Structure-Preserving Numerical Scheme for a Gradient Flow Model of the KohnSham Density Functional Theory
- On the Convergence of Sobolev Gradient Flow for the Gross–Pitaevskii Eigenvalue Problem
- A Convergence Analysis of a Structure-Preserving Gradient Flow Method for the All-Electron KohnSham Model
- An unconditionally energy-stable and orthonormality-preserving iterative scheme for the Kohn-Sham gradient flow based model
This page was built for publication: Second-order Sobolev gradient flows for computing ground state of ultracold Fermi gases