Numerical Solution of t he Nonlinear Poisson-Blotzmann Equation: Developing More Robust and Efficient Methods

@article{Holst1995NumericalSO,
  title={Numerical Solution of t he Nonlinear Poisson-Blotzmann Equation: Developing More Robust and Efficient Methods},
  author={Michael J. Holst and Faisal Saied},
  journal={Journal of Computational Chemistry},
  year={1995},
  volume={16},
  pages={337-364}
}
We present a robust and efficient numerical method for solution of the nonlinear Poisson-Boltzmann equation arising in molecular biophysics. The equation is discretized with the box method, and solution of the discrete equations is accomplished with a global inexact-Newton method, combined with linear multilevel techniques we have described in a paper appearing previously in this journal. A detailed analysis of the resulting method is presented, with comparisons to other methods that have been… CONTINUE READING
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