Erratum: Non-iterative and exact method for constraining particles in a linear geometry

Authors

Errata

This article corrects:

  1. Non-iterative and exact method for constraining particles in a linear geometry Volume 43, Issue 8, 911–916, Article first published online: 7 March 2005

Typographical errors appeared in the original publication. These errors do not change the functionality of the algorithm and they are reasonably obvious when implementing the method. Nevertheless, we wish to present the correct equations for completeness. The equations in question are:

Equation(8): The fraction in the equation for j = N has been inverted. The correct formula reads:

equation image(8)

Equation(9): An “mj” is missing from a denominator. The correct formula reads:

equation image(9)

Equation(10): “mj” is missing from three denominators. The correct fomula reads:

equation image(10)

Equation(11): An “N” is not placed in subscript as it should in the part for 1 < j < N; the abovementioned error from Equation (8) is also present in this equation. The correct equation reads:

equation image(11)

Equation(14): A number “2” in two subscripts should have been “N” and a “1” should have been in subscript. The correct formula reads:

equation image(14)

Equation(20): A factor of equation image is erroneously included; a Lagrange multiplier for j = N is listed as equation image instead of equation image. The correct formula reads:

equation image(20)

Equation(23): The fraction in the equation for j = N has been inverted. The correct formula reads:

equation image(23)

Equation(25): A factor of Rmath image is missing from second term in the numerator. This omission has no effect on the functional method when the suggested choice of δk is made. The correct equation reads:

equation image(25)

Equation(27): The symbol Δ has been erroneously included on the far right side of the equation. The correct equation reads:

equation image(27)

Acknowledgements

The authors are grateful to Yotam Avital and Oded Farago for the collaboration that has led to these clarifications.

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