论文信息 - A concise redefinition of the solid spherical harmonics and its use in fast multipole methods

A concise redefinition of the solid spherical harmonics and its use in fast multipole methods

Several fast algorithms for the approximation of particle–particle interactions by means of multipole expansions in spherical harmonics have appeared recently. In this letter we present a redefinition of the solid spherical harmonics that is real and gives simple expressions for the evaluation of the functions and their derivatives. Application to the recursive bisection method [J. M. Perez‐Jorda and W. Yang, Chem. Phys. Lett. 247, 484 (1995)] greatly improves its performance.

José M. Pérez-Jordá | Weitao Yang | Weitao Yang | J. Pérez-Jordá

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