Efficient implementation of the truncated-Newton algorithm for large-scale chemistry applications D Xie, T Schlick SIAM Journal on Optimization 10 (1), 132-154, 1999 | 70 | 1999 |
A new minimization protocol for solving nonlinear Poisson–Boltzmann mortar finite element equation D Xie, S Zhou BIT Numerical Mathematics 47, 853-871, 2007 | 69 | 2007 |
New solution decomposition and minimization schemes for Poisson–Boltzmann equation in calculation of biomolecular electrostatics D Xie Journal of Computational Physics 275, 294-309, 2014 | 66 | 2014 |
New parallel SOR method by domain partitioning D Xie, L Adams SIAM Journal on Scientific Computing 20 (6), 2261-2281, 1999 | 62 | 1999 |
On the analysis and application of an ion size-modified Poisson–Boltzmann equation J Li, J Ying, D Xie Nonlinear Analysis: Real World Applications 47, 188-203, 2019 | 61 | 2019 |
A new analysis of electrostatic free energy minimization and Poisson–Boltzmann equation for protein in ionic solvent D Xie, J Li Nonlinear Analysis: Real World Applications 21, 185-196, 2015 | 46 | 2015 |
An efficient projection protocol for chemical databases: Singular value decomposition combined with truncated-Newton minimization D Xie, A Tropsha, T Schlick Journal of chemical information and computer sciences 40 (1), 167-177, 2000 | 41 | 2000 |
A new block parallel SOR method and its analysis D Xie SIAM Journal on Scientific Computing 27 (5), 1513-1533, 2006 | 31 | 2006 |
A new finite element and finite difference hybrid method for computing electrostatics of ionic solvated biomolecule J Ying, D Xie Journal of Computational Physics 298, 636-651, 2015 | 30 | 2015 |
A fast solver for a nonlocal dielectric continuum model D Xie, Y Jiang, P Brune, LR Scott SIAM Journal on Scientific Computing 34 (2), B107-B126, 2012 | 29 | 2012 |
Efficient algorithms for a nonlocal dielectric model for protein in ionic solvent D Xie, Y Jiang, LR Scott SIAM Journal on Scientific Computing 35 (6), B1267-B1284, 2013 | 28 | 2013 |
Remark on the updated truncated Newton minimization package, Algorithm 702 D Xie, T Schlick ACM Trans. Math. Softw 25 (1), 108-122, 1999 | 24 | 1999 |
A nonlocal modified Poisson–Boltzmann equation and finite element solver for computing electrostatics of biomolecules D Xie, Y Jiang Journal of Computational Physics 322, 1-20, 2016 | 23 | 2016 |
A more lenient stopping rule for line search algorithms D Xie, T Schlick Optimization Methods and Software 17 (4), 683-700, 2002 | 21 | 2002 |
SMPBS: Web server for computing biomolecular electrostatics using finite element solvers of size modified Poisson‐Boltzmann equation Y Xie, J Ying, D Xie Journal of Computational Chemistry 38 (8), 541-552, 2017 | 19 | 2017 |
Nonlocal Poisson-Fermi model for ionic solvent D Xie, JL Liu, B Eisenberg Physical Review E 94 (1), 012114, 2016 | 19 | 2016 |
Analytical solutions of nonlocal Poisson dielectric models with multiple point charges inside a dielectric sphere D Xie, HW Volkmer, J Ying Physical Review E 93 (4), 043304, 2016 | 18 | 2016 |
The parallel U-cycle multigrid method D Xie, LR Scott Proceedings of the 8th Copper Mountain Conference on Multigrid Methods, 1997 | 18 | 1997 |
Poisson-Fermi formulation of nonlocal electrostatics in electrolyte solutions JL Liu, D Xie, B Eisenberg Computational and Mathematical Biophysics 5 (1), 116-124, 2017 | 16 | 2017 |
A hybrid solver of size modified Poisson–Boltzmann equation by domain decomposition, finite element, and finite difference J Ying, D Xie Applied Mathematical Modelling 58, 166-180, 2018 | 15 | 2018 |