Nonlinear Artificial Boundary Conditions (in Chinese)

Zhenli Xu, PhD dissertation, University of Science and Technology of China, 2007

Optimal integral expressions for effective radii in the generalized Born model of molecular solvation (with W. Cai and A. Baumketner)

Submitted.

An Image-based reaction field method for electrostatic interactions in molecular dynamics simulations of aqueous solutions (Yuchun Lin et al.)

Submitted

Image charge methods for a three-dielectric-layer solvation model of biomolecules (with P. Qin, W. Cai, and D. Jacobs)

Comm. Comput. Phys, 6(2009), 955-977

Unified approach to split absorbing boundary conditions for nonlinear Schroedinger equations: Two dimensional case, (with J. Zhang and X. Wu)

Phys. Rev. E, 79(2009), 046711

Image charge approximations of reaction fields in solvation with arbitrary ionic strength (with S. Deng and W. Cai)

J. Comput. Phys, 228(2009), 2092-2099.

Fast spectral collocation method for surface integral equations of potential problems in a spheroid, (with W. Cai)

Commun. Comput.Phys., 6(2009), 625-638.

A new FFT-based algorithm to compute Born radii in the generalized Born theory of biomolecule solvation (with W. Cai and A. Baumketner)

J. Comput. Phys., 227(2008), 10162-10177

Unified approach to split absorbing boundary conditions for nonlinear Schroedinger equations, (with J. Zhang and X. Wu)

Phys. Rev. E, 78(2008), 026709

A hybrid scheme for solving a multi-class traffic flow model with complex wave breaking, (with P. Zhang and S.C. Wong)

Comput. Methods Appl. Mech. Engrg., 197(2008), 3816-3827

$\delta$-mapping algorithm coupled with WENO reconstruction for nonlinear elasticity in heterogeneous media (with P. Zhang and R. Liu)

Appl. Numer. Math., 57(2007), 103-116.

Spectral collocation technique for absorbing boundary conditions with increasingly high order approximation (with H. Han)

Lecture Notes in Computer Science, 4490(2007), 267-274.

Adaptive absorbing boundary conditions for Schroedinger-type equations: application to nonlinear and multi-dimensional problems (with H. Han and X. Wu)

J. Comput. Phys., 225(2007), 1577-1589.

Absorbing boundary conditions for nonlinear Schrodinger equations (with H. Han)

Phys. Rev. E, 74, 037704(2006).

Artificial boundary method for Burgers' equation using nonlinear boundary conditions (with H. Han and X. Wu)

 J. Comput. Math., 24 (3) 2006,  295-304.

Numerical method for the deterministic Kardar-Parisi-Zhang equation in unbounded domains (with H. Han and X. Wu)

Communications in Computational Physics,  1(3), 2006, 479-493.