Numerical integration of the interaction energy of two point charges

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Lab. do Acelerador Linear, Instituto de Fsica, Universidade de São Paulo, C.P. 66.318, CEP 05389-970 São Paulo, Brazil ^{[1
]}

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Math Comput Simul | / 1卷 / 13-16期

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We calculated numerically the energy interaction of two point charged particles. The integral has simple analytical result but is not easily solved numerically. Commercial programs as Mathematica 3.0 [trademark] and Maple V [trademark] could not evaluate the integral and Gauss-Legendre method gave poor results. The method of Runge-Kutta integration was capable of solving it with good results. This integral showed to be a useful prototype for definite integration for double integration with poles. © 1998 IMACS/Elsevier Science B.V.

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