Novel Formulas for Numerical Computation of Toroidal Function of the Second Kind

• Tsumagari Takashi

  Miyakonojo National College of Technology

Bibliographic Information

Other Title

• 第2種円環関数の数値計算に適した新しい公式について

Abstract

We propose two kinds of novel formulas for calculating the toroidal function (TF) of the second kind. The first formula, which is applicable to the TF of low degree, has the superior performance with respect to computation time (about 0.5 ms on a 486SX based PC). The second has been formulated by using the technique of Landen's transformation for complete elliptic integrals. We confirmed on the same machine that TF of degree 50 can be calculated by the our second formula in the reasonable computation time. Proposed formulas will apply to the numerical computation of electric fields.

Journal

• Transactions of the Japan Society for Industrial and Applied Mathematics

  Transactions of the Japan Society for Industrial and Applied Mathematics 2 (3), 177-191, 1992

  The Japan Society for Industrial and Applied Mathematics

Details

• CRID: 1390001205767501568
• NII Article ID: 110001883524
• NII Book ID: AN10367166
• DOI: 10.11540/jsiamt.2.3_177
• ISSN: 24240982
• Text Lang: ja
• Data Source:
  • JaLC
  • CiNii Articles
• Abstract License Flag: Disallowed