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Molecular Dynamics Using Gaalop GPC for OpenCL

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Foundations of Geometric Algebra Computing

Part of the book series: Geometry and Computing ((GC,volume 8))

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Abstract

A molecular dynamics simulation of the kind described here [101] models the point-pair interactions of a system of molecules, each molecule consisting of several atoms, and numerically solves Newton’s and Euler’s equations of motion for each molecule. This can be expressed in the mathematical language of Conformal Geometric Algebra.

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References

  1. David Hestenes. Old wine in new bottles: A new algebraic framework for computational geometry. In Eduardo Bayro-Corrochano and Garret Sobczyk, editors, Geometric Algebra with Applications in Science and Engineering. Birkhäuser, 2001.

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  2. David Hestenes. New tools for computational geometry and rejuvenation of screw theory. In Eduardo Bayro-Corrochano and Gerik Scheuermann, editors, Geometric Algebra Computing in Engineering and Computer Science, volume 1, pages 3–33. Springer, May 2010.

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  3. Florian Seybold, Patrick Charrier, Dietmar Hildenbrand, M. Bernreuther, and D. Jenz. Runtime performance of a molecular dynamics model using conformal geometric algebra. Slides available at http://www.science.uva.nl/~leo/agacse2010/talks_world/Seybold.pdf, 2010.

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Hildenbrand, D. (2013). Molecular Dynamics Using Gaalop GPC for OpenCL. In: Foundations of Geometric Algebra Computing. Geometry and Computing, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31794-1_13

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