Related references
Note: Only part of the references are listed.Energy-preserving methods for nonlinear Schrodinger equations
Christophe Besse et al.
IMA JOURNAL OF NUMERICAL ANALYSIS (2021)
Second-Order SAV Schemes for the Nonlinear Schrodinger Equation and Their Error Analysis
Beichuan Deng et al.
JOURNAL OF SCIENTIFIC COMPUTING (2021)
A new Lagrange multiplier approach for gradient flows
Qing Cheng et al.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2020)
GLOBAL CONSTRAINTS PRESERVING SCALAR AUXILIARY VARIABLE SCHEMES FOR GRADIENT FLOWS
Qing Cheng et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2020)
Highly Efficient and Accurate Numerical Schemes for the Epitaxial Thin Film Growth Models by Using the SAV Approach
Qing Cheng et al.
JOURNAL OF SCIENTIFIC COMPUTING (2019)
ERROR ESTIMATES OF A REGULARIZED FINITE DIFFERENCE METHOD FOR THE LOGARITHMIC SCHRODINGER EQUATION
Weizhu Bat et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2019)
Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable
Lianlei Lin et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2019)
Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions
Wenjun Cai et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2019)
Efficient SAV approach for imaginary time gradient flows with applications to one- and multi-component Bose-Einstein Condensates
Qingqu Zhuang et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2019)
A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
Jie Shen et al.
SIAM REVIEW (2019)
The scalar auxiliary variable (SAV) approach for gradient flows
Jie Shen et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2018)
CONVERGENCE AND ERROR ANALYSIS FOR THE SCALAR AUXILIARY VARIABLE (SAV) SCHEMES TO GRADIENT FLOWS
Jie Shen et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2018)
Efficient spectral computation of the stationary states ofrotating Bose-Einstein condensates by preconditioned nonlinear conjugate gradient methods
Xavier Antoine et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2017)
A second order operator splitting numerical scheme for the good Boussinesq equation
Cheng Zhang et al.
APPLIED NUMERICAL MATHEMATICS (2017)
High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrodinger/Gross-Pitaevskii equations
Xavier Antoine et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2016)
Mean-field regime and Thomas-Fermi approximations of trapped Bose-Einstein condensates with higher-order interactions in one and two dimensions
Xinran Ruan et al.
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS (2016)
A Fourier Pseudospectral Method for the Good Boussinesq Equation with Second-Order Temporal Accuracy
Kelong Cheng et al.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2015)
Robust and efficient preconditioned Krylov spectral solvers for computing the ground states of fast rotating and strongly interacting Bose-Einstein condensates
Xavier Antoine et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2014)
Computational methods for the dynamics of the nonlinear Schrodinger/Gross-Pitaevskii equations
Xavier Antoine et al.
COMPUTER PHYSICS COMMUNICATIONS (2013)
Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrodinger equation
Weizhu Bao et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2013)
MATHEMATICAL THEORY AND NUMERICAL METHODS FOR BOSE-EINSTEIN CONDENSATION
Weizhu Bao et al.
KINETIC AND RELATED MODELS (2013)
OPTIMAL ERROR ESTIMATES OF FINITE DIFFERENCE METHODS FOR THE GROSS-PITAEVSKII EQUATION WITH ANGULAR MOMENTUM ROTATION
Weizhu Bao et al.
MATHEMATICS OF COMPUTATION (2013)
A SIMPLE AND EFFICIENT NUMERICAL METHOD FOR COMPUTING THE DYNAMICS OF ROTATING BOSE-EINSTEIN CONDENSATES VIA ROTATING LAGRANGIAN COORDINATES
Weizhu Bao et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2013)
CONVERGENCE ANALYSIS OF HIGH-ORDER TIME-SPLITTING PSEUDOSPECTRAL METHODS FOR NONLINEAR SCHRODINGER EQUATIONS
Mechthild Thalhammer
SIAM JOURNAL ON NUMERICAL ANALYSIS (2012)
High-order time-splitting Hermite and Fourier spectral methods
Mechthild Thalhammer et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2009)
Rotating trapped Bose-Einstein condensates
Alexander L. Fetter
REVIEWS OF MODERN PHYSICS (2009)
High-order exponential operator splitting methods for time-dependent Schrodinger equations
Mechthild Thalhammer
SIAM JOURNAL ON NUMERICAL ANALYSIS (2008)
A time-splitting spectral method for coupled Gross-Pitaevskii equations with applications to rotating Bose-Einstein condensates
Hanquan Wang
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2007)
Energy-dependent effective interactions for dilute many-body systems
A. Collin et al.
PHYSICAL REVIEW A (2007)
An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose-Einstein condensates
Weizhu Bao et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2006)
Dynamics of rotating Bose-Einstein condensates and its efficient and accurate numerical computation
WZ Bao et al.
SIAM JOURNAL ON APPLIED MATHEMATICS (2006)
Fourth-order time-splitting Laguerre-Hermite pseudospectral method for Bose-Einstein condensates
WZ Bao et al.
SIAM JOURNAL ON SCIENTIFIC COMPUTING (2005)
A relaxation scheme for the nonlinear Schrodinger equation
C Besse
SIAM JOURNAL ON NUMERICAL ANALYSIS (2004)
Numerical solution of the Gross-Pitaevskii equation for Bose-Einstein condensation
WZ Bao et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2003)