A constrained gentlest ascent dynamics and its applications to finding excited states of Bose-Einstein condensates
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Publication:2106916
DOI10.1016/J.JCP.2022.111719OpenAlexW4307569053MaRDI QIDQ2106916
Publication date: 29 November 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.04684
linear stabilityBose-Einstein condensatesexcited statesconstrained gentlest ascent dynamicsconstrained saddle points
Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx)
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Cites Work
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- Energy eigenfunctions of the 1D Gross-Pitaevskii equation
- Constrained shrinking dimer dynamics for saddle point search with constraints
- Exploring ground states and excited states of spin-1 Bose-Einstein condensates by continuation methods
- Adaptive continuation algorithms for computing energy levels of rotating Bose-Einstein condensates
- Iterative minimization algorithm for efficient calculations of transition states
- Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates
- Bifurcation method for solving multiple positive solutions to Henon equation
- Search extension method for multiple solutions of a nonlinear problem
- Elliptic partial differential equations of second order
- Convex splitting method for the calculation of transition states of energy functional
- Multiscale gentlest ascent dynamics for saddle point in effective dynamics of slow-fast system
- A local minimax method using virtual geometric objects. II. For finding equality constrained saddles
- Acceleration of the imaginary time method for spectrally computing the stationary states of Gross-Pitaevskii equations
- Infinite dimensional Morse theory and multiple solution problems
- A phase field approach in the numerical study of the elastic bending energy for vesicle membranes
- Mathematical theory and numerical methods for Bose-Einstein condensation
- A constrained string method and its numerical analysis
- A Ljusternik-Schnirelman minimax algorithm for finding equality constrained saddle points and its application for solving eigen problems. I. Algorithm and global convergence
- A Minimax Method for Finding Multiple Critical Points and Its Applications to Semilinear PDEs
- The gentlest ascent dynamics
- Shrinking Dimer Dynamics and Its Applications to Saddle Point Search
- Numerical Methods for Computing Nonlinear Eigenpairs: Part I. Iso-Homogeneous Cases
- Numerical Methods for Computing Nonlinear Eigenpairs: Part II. Non-Iso-Homogeneous Cases
- A high-linking algorithm for sign-changing solutions of semilinear elliptic equations
- Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model
- Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow
- High-Index Optimization-Based Shrinking Dimer Method for Finding High-Index Saddle Points
- A mountain pass method for the numerical solution of semilinear elliptic problems
- Nucleation Rate Calculation for the Phase Transition of Diblock Copolymers under Stochastic Cahn--Hilliard Dynamics
- Convergence and Cycling in Walker-type Saddle Search Algorithms
- Normalized Gradient Flow with Lagrange Multiplier for Computing Ground States of Bose--Einstein Condensates
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