Fast Relative Approximation of Potential Fields

M. Ziegler, in: F. Dehne, J. Sack, M. Smid, Algorithms and Data Structures. WADS 2003 (Eds.), Lecture Notes in Computer Science, Springer, Berlin, Heidelberg, 2003.

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Book Chapter | Published | English
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Algorithms and Data Structures. WADS 2003
Abstract
Multi-evaluation of the Coulomb potential induced by N particles is a central part of N-body simulations. In 3D, known subquadratic time algorithms return approximations up to given ABSOLUTE precision. By combining data structures from Computational Geometry with fast polynomial arithmetic, the present work obtains approximations of prescribable RELATIVE error e>0 in time O(1/e*N*polylog N).
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Lecture Notes in Computer Science
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2748
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Ziegler M. Fast Relative Approximation of Potential Fields. In: Dehne F, Sack J, Smid M, Algorithms and Data Structures. WADS 2003, eds. Lecture Notes in Computer Science. Vol 2748. Lecture Notes in Computer Science. Berlin, Heidelberg: Springer; 2003. doi:10.1007/978-3-540-45078-8_13
Ziegler, M. (2003). Fast Relative Approximation of Potential Fields. In F. Dehne, J. Sack, M. Smid, & Algorithms and Data Structures. WADS 2003 (Eds.), Lecture Notes in Computer Science (Vol. 2748). Berlin, Heidelberg: Springer. https://doi.org/10.1007/978-3-540-45078-8_13
@inbook{Ziegler_2003, place={Berlin, Heidelberg}, series={Lecture Notes in Computer Science}, title={Fast Relative Approximation of Potential Fields}, volume={2748}, DOI={10.1007/978-3-540-45078-8_13}, booktitle={Lecture Notes in Computer Science}, publisher={Springer}, author={Ziegler, Martin}, editor={Dehne, F. and Sack, JR. and Smid, M. and Algorithms and Data Structures. WADS 2003Editors}, year={2003}, collection={Lecture Notes in Computer Science} }
Ziegler, Martin. “Fast Relative Approximation of Potential Fields.” In Lecture Notes in Computer Science, edited by F. Dehne, JR. Sack, M. Smid, and Algorithms and Data Structures. WADS 2003, Vol. 2748. Lecture Notes in Computer Science. Berlin, Heidelberg: Springer, 2003. https://doi.org/10.1007/978-3-540-45078-8_13.
M. Ziegler, “Fast Relative Approximation of Potential Fields,” in Lecture Notes in Computer Science, vol. 2748, F. Dehne, J. Sack, M. Smid, and Algorithms and Data Structures. WADS 2003, Eds. Berlin, Heidelberg: Springer, 2003.
Ziegler, Martin. “Fast Relative Approximation of Potential Fields.” Lecture Notes in Computer Science, edited by F. Dehne et al., vol. 2748, Springer, 2003, doi:10.1007/978-3-540-45078-8_13.

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