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1

Numerical solution of the Gross–Pitaevskii equation for Bose–Einstein condensation

Weizhu Bao, Dieter Jaksch, Peter A. Markowich

Journal:

Journal of Computational Physics

Year:

2003

Language:

english

File:

PDF, 543 KB

english, 2003

2

Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime

Bao, WeiZhu, Cai, YongYong, Jia, XiaoWei, Yin, Jia

Journal:

Science China Mathematics

Year:

2016

Language:

english

File:

PDF, 604 KB

english, 2016

3

Application of Onsager's variational principle to the dynamics of a solid toroidal island on a substrate

Jiang, Wei, Zhao, Quan, Qian, Tiezheng, Srolovitz, David J., Bao, Weizhu

Journal:

Acta Materialia

Year:

2019

Language:

english

File:

PDF, 579 KB

english, 2019

4

AN ARTIFICIAL BOUNDARY CONDITION FOR TWO-DIMENSIONAL INCOMPRESSIBLE VISCOUS FLOWS USING THE METHOD OF LINES

HOUDE HAN, WEIZHU BAO

Journal:

International Journal for Numerical Methods in Fluids

Year:

1996

Language:

english

File:

PDF, 397 KB

english, 1996

5

Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes

Bao, Weizhu, Jin, Shi, Markowich, Peter A.

Journal:

SIAM Journal on Scientific Computing

Year:

2003

Language:

english

File:

PDF, 5.62 MB

english, 2003

6

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

Bao, Weizhu, Du, Qiang

Journal:

SIAM Journal on Scientific Computing

Year:

2004

Language:

english

File:

PDF, 580 KB

english, 2004

7

Ground States and Dynamics of Spin-Orbit-Coupled Bose--Einstein Condensates

Bao, Weizhu, Cai, Yongyong

Journal:

SIAM Journal on Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 721 KB

english, 2015

8

On Time-Splitting Spectral Approximations for the Schrödinger Equation in the Semiclassical Regime

Weizhu Bao, Shi Jin, Peter A. Markowich

Journal:

Journal of Computational Physics

Year:

2002

Language:

english

File:

PDF, 942 KB

english, 2002

9

The Random Projection Method for Stiff Multispecies Detonation Capturing

Weizhu Bao, Shi Jin

Journal:

Journal of Computational Physics

Year:

2002

Language:

english

File:

PDF, 273 KB

english, 2002

10

Comparisons between sine-Gordon and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse

Weizhu Bao, Xuanchun Dong, Jack Xin

Journal:

Physica D: Nonlinear Phenomena

Year:

2010

Language:

english

File:

PDF, 1.55 MB

english, 2010

11

Artificial boundary conditions for incompressible Navier–Stokes equations: A well-posed result

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2000

Language:

english

File:

PDF, 364 KB

english, 2000

12

Analysis and comparison of numerical methods for the Klein–Gordon equation in the nonrelativistic limit regime

Weizhu Bao, Xuanchun Dong

Journal:

Numerische Mathematik

Year:

2012

Language:

english

File:

PDF, 457 KB

english, 2012

13

Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator

Bao, Weizhu, Cai, Yongyong

Journal:

SIAM Journal on Numerical Analysis

Year:

2012

Language:

english

File:

PDF, 422 KB

english, 2012

14

A Generalized-Laguerre–Fourier–Hermite Pseudospectral Method for Computing the Dynamics of Rotating Bose–Einstein Condensates

Bao, Weizhu, Li, Hailiang, Shen, Jie

Journal:

SIAM Journal on Scientific Computing

Year:

2009

Language:

english

File:

PDF, 7.90 MB

english, 2009

15

The Dynamics and Interaction of Quantized Vortices in the Ginzburg–Landau–Schrödinger Equation

Zhang, Yanzhi, Bao, Weizhu, Du, Qiang

Journal:

SIAM Journal on Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 5.90 MB

english, 2007

16

Dynamics of Rotating Bose--Einstein Condensates and its Efficient and Accurate Numerical Computation

Bao, Weizhu, Du, Qiang, Zhang, Yanzhi

Journal:

SIAM Journal on Applied Mathematics

Year:

2006

Language:

english

File:

PDF, 657 KB

english, 2006

17

Computational methods for the dynamics of the nonlinear Schrödinger/Gross–Pitaevskii equations

Antoine, Xavier, Bao, Weizhu, Besse, Christophe

Journal:

Computer Physics Communications

Year:

2013

Language:

english

File:

PDF, 485 KB

english, 2013

18

The Dynamics and Interaction of Quantized Vortices in the Ginzburg-Landau-Schrodinger Equation

Yanzhi Zhang, Weizhu Bao and Qiang Du

Journal:

SIAM Journal on Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 2.30 MB

english, 2007

19

Dynamics of Rotating Bose-Einstein Condensates and Its Efficient and Accurate Numerical Computation

Weizhu Bao, Qiang Du and Yanzhi Zhang

Journal:

SIAM Journal on Applied Mathematics

Year:

2006

Language:

english

File:

PDF, 1.06 MB

english, 2006

20

Uniform and Optimal Error Estimates of an Exponential Wave Integrator Sine Pseudospectral Method for the Nonlinear Schrödinger Equation with Wave Operator

Bao, Weizhu, Cai, Yongyong

Journal:

SIAM Journal on Numerical Analysis

Year:

2014

Language:

english

File:

PDF, 388 KB

english, 2014

21

Dimension Reduction of the Schrödinger Equation with Coulomb and Anisotropic Confining Potentials

Bao, Weizhu, Jian, Huaiyu, Mauser, Norbert J., Zhang, Yong

Journal:

SIAM Journal on Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 969 KB

english, 2013

22

A Mass and Magnetization Conservative and Energy-Diminishing Numerical Method for Computing Ground State of Spin-1 Bose-Einstein Condensates

Weizhu Bao and Hanquan Wang

Journal:

SIAM Journal on Numerical Analysis

Year:

2007

Language:

english

File:

PDF, 1.41 MB

english, 2007

23

Numerical Methods and Comparison for the Dirac Equation in the Nonrelativistic Limit Regime

Bao, Weizhu, Cai, Yongyong, Jia, Xiaowei, Tang, Qinglin

Journal:

Journal of Scientific Computing

Year:

2017

Language:

english

File:

PDF, 2.33 MB

english, 2017

24

Stable Equilibria of Anisotropic Particles on Substrates: A Generalized Winterbottom Construction

Bao, Weizhu, Jiang, Wei, Srolovitz, David J., Wang, Yan

Journal:

SIAM Journal on Applied Mathematics

Year:

2017

Language:

english

File:

PDF, 809 KB

english, 2017

25

Error Estimates of a Regularized Finite Difference Method for the Logarithmic Schrödinger Equation

Bao, Weizhu, Carles, Rémi, Su, Chunmei, Tang, Qinglin

Journal:

SIAM Journal on Numerical Analysis

Year:

2019

Language:

english

File:

PDF, 536 KB

english, 2019

26

Sharp-Interface Model for Simulating Solid-State Dewetting in Three Dimensions

Jiang, Wei, Zhao, Quan, Bao, Weizhu

Journal:

SIAM Journal on Applied Mathematics

Year:

2020

File:

PDF, 988 KB

2020

27

A Jacobi spectral method for computing eigenvalue gaps and their distribution statistics of the fractional SchrÃ¶dinger operator

Bao, Weizhu, Chen, Lizhen, Jiang, Xiaoyun, Ma, Ying

Journal:

Journal of Computational Physics

Year:

2020

File:

PDF, 5.07 MB

2020

28

A discrete artificial boundary condition for steady incompressible viscous flows in a no-slip channel using a fast iterative method

Houde Han, , Jinfu Lu, , Weizhu BAO

Journal:

Journal of Computational Physics

Year:

1994

Language:

english

File:

PDF, 466 KB

english, 1994

29

Nonlocal Artificial Boundary Conditions for the Incompressible Viscous Flow in a Channel Using Spectral Techniques

Weizhu Bao, Houde Han

Journal:

Journal of Computational Physics

Year:

1996

Language:

english

File:

PDF, 389 KB

english, 1996

30

The Random Projection Method for Hyperbolic Conservation Laws with Stiff Reaction Terms

Weizhu Bao, Shi Jin

Journal:

Journal of Computational Physics

Year:

2000

Language:

english

File:

PDF, 616 KB

english, 2000

31

Dynamics of the center of mass in rotating Bose–Einstein condensates

Yanzhi Zhang, Weizhu Bao

Journal:

Applied Numerical Mathematics

Year:

2007

Language:

english

File:

PDF, 667 KB

english, 2007

32

Convergence rate of dimension reduction in Bose–Einstein condensates

Weizhu Bao, Yunyi Ge, Dieter Jaksch, Peter A. Markowich, Rada M. Weishäupl

Journal:

Computer Physics Communications

Year:

2007

Language:

english

File:

PDF, 561 KB

english, 2007

33

An efficient and spectrally accurate numerical method for computing dynamics of rotating Bose–Einstein condensates

Weizhu Bao, Hanquan Wang

Journal:

Journal of Computational Physics

Year:

2006

Language:

english

File:

PDF, 593 KB

english, 2006

34

Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose–Einstein condensates

Weizhu Bao, I-Liang Chern, Fong Yin Lim

Journal:

Journal of Computational Physics

Year:

2006

Language:

english

File:

PDF, 1.81 MB

english, 2006

35

A generalized-Laguerre–Hermite pseudospectral method for computing symmetric and central vortex states in Bose–Einstein condensates

Weizhu Bao, Jie Shen

Journal:

Journal of Computational Physics

Year:

2008

Language:

english

File:

PDF, 759 KB

english, 2008

36

Numerical methods for computing ground states and dynamics of nonlinear relativistic Hartree equation for boson stars

Weizhu Bao, Xuanchun Dong

Journal:

Journal of Computational Physics

Year:

2011

Language:

english

File:

PDF, 1.45 MB

english, 2011

37

Quantized vortex stability and interaction in the nonlinear wave equation

Weizhu Bao, Rong Zeng, Yanzhi Zhang

Journal:

Physica D: Nonlinear Phenomena

Year:

2008

Language:

english

File:

PDF, 6.79 MB

english, 2008

38

Ground-state solution of Bose–Einstein condensate by directly minimizing the energy functional

Weizhu Bao, Weijun Tang

Journal:

Journal of Computational Physics

Year:

2003

Language:

english

File:

PDF, 414 KB

english, 2003

39

Numerical methods for the generalized Zakharov system

Weizhu Bao, Fangfang Sun, G.W. Wei

Journal:

Journal of Computational Physics

Year:

2003

Language:

english

File:

PDF, 668 KB

english, 2003

40

Numerical simulations of fracture problems by coupling the FEM and the direct method of lines

Weizhu Bao, Houde Han, Zhongyi Huang

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2001

Language:

english

File:

PDF, 182 KB

english, 2001

41

Weakly compressible high-order I-stable central difference schemes for incompressible viscous flows

Weizhu Bao, Shi Jin

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2001

Language:

english

File:

PDF, 653 KB

english, 2001

42

An economical finite element approximation of generalized Newtonian flows

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2002

Language:

english

File:

PDF, 187 KB

english, 2002

43

Artificial boundary conditions for two-dimensional incompressible viscous flows around an obstacle

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1997

Language:

english

File:

PDF, 649 KB

english, 1997

44

Numerical simulation for the problem of infinite elastic foundation

Houde Han, Weizhu Bao, Tao Wang

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1997

Language:

english

File:

PDF, 1007 KB

english, 1997

45

The discrete artificial boundary condition on a polygonal artificial boundary for the exterior problem of Poisson equation by using the direct method of lines

Houde Han, Weizhu Bao

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

1999

Language:

english

File:

PDF, 315 KB

english, 1999

46

Error estimates on the random projection methods for hyperbolic conservation laws with stiff reaction terms

Weizhu Bao, Shi Jin

Journal:

Applied Numerical Mathematics

Year:

2002

Language:

english

File:

PDF, 188 KB

english, 2002

47

Approximation and comparison for motion by mean curvature with intersection points

Journal:

Computers & Mathematics with Applications

Year:

2003

Language:

english

File:

PDF, 820 KB

english, 2003

48

Error bounds for the finite element approximation of an incompressible material in an unbounded domain

Weizhu Bao, Houde Han

Journal:

Numerische Mathematik

Year:

2003

Language:

english

File:

PDF, 297 KB

english, 2003

49

An efficient and stable numerical method for the Maxwell–Dirac system

Weizhu Bao, Xiang-Gui Li

Journal:

Journal of Computational Physics

Year:

2004

Language:

english

File:

PDF, 392 KB

english, 2004

50

Efficient and accurate numerical methods for the Klein–Gordon–Schrödinger equations

Weizhu Bao, Li Yang

Journal:

Journal of Computational Physics

Year:

2007

Language:

english

File:

PDF, 1.20 MB

english, 2007

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