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Kaiser-Bessel basis for particle-mesh interpolation.

Xingyu Gao1, Jun Fang2, Han Wang2

  • 1Laboratory of Computational Physics, Huayuan Road 6, Beijing 100088, People's Republic of China; Institute of Applied Physics and Computational Mathematics, Fenghao East Road 2, Beijing 100094, People's Republic of China; and CAEP Software Center for High Performance Numerical Simulation, Huayuan Road 6, Beijing 100088, People's Republic of China.

Physical Review. E
|July 16, 2017
PubMed
Summary
This summary is machine-generated.

We introduce the Kaiser-Bessel interpolation basis for fast Ewald methods. This new basis offers improved accuracy over traditional B-spline methods for correlated charge systems, especially with specific parameter choices.

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Area of Science:

  • Computational physics
  • Materials science
  • Quantum chemistry

Background:

  • Particle-mesh interpolation is crucial for simulating large systems in computational physics.
  • The fast Ewald method accelerates electrostatic calculations in simulations.
  • Optimizing interpolation bases is key to improving simulation accuracy and efficiency.

Purpose of the Study:

  • To introduce and evaluate the Kaiser-Bessel interpolation basis for particle-mesh interpolation within the fast Ewald method.
  • To develop a reliable a priori error estimate for force computation accuracy.
  • To optimize the Kaiser-Bessel basis shape parameter for enhanced accuracy.

Main Methods:

  • Implementation of the Kaiser-Bessel basis in the fast Ewald method.
  • Development of an a priori error estimation technique for correlated charge systems.
  • Systematic comparison of Kaiser-Bessel and B-spline bases across various parameter spaces.

Main Results:

  • The Kaiser-Bessel basis provides a reliable a priori error estimate for force computations.
  • Optimization of the shape parameter significantly enhances the accuracy of the Kaiser-Bessel basis.
  • The Kaiser-Bessel basis demonstrates superior accuracy compared to B-spline basis under specific conditions (small real-space cutoff, small reciprocal mesh, large basis truncation).

Conclusions:

  • The Kaiser-Bessel basis is a more accurate interpolation method for fast Ewald calculations in certain scenarios.
  • The developed error estimate is effective for optimizing interpolation basis parameters.
  • This advancement offers potential for more precise simulations in fields requiring accurate electrostatic calculations.