VEST: Abstract Vector Calculus Simplification in Mathematica | Zendy

J. Burby and H. Qin J. Squire | Zendy

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VEST: Abstract Vector Calculus Simplification in Mathematica

Author(s) -

J. Burby and H. Qin J. Squire

Publication year - 2013

Publication title -

osti oai (u.s. department of energy office of scientific and technical information)

Language(s) - English

Resource type - Reports

DOI - 10.2172/1073490

Subject(s) - calculus (dental) , transformation (genetics) , code (set theory) , vest , center (category theory) , computer science , tokamak , algebra over a field , mathematics , physics , pure mathematics , programming language , nuclear physics , medicine , biochemistry , chemistry , plasma , computer security , dentistry , set (abstract data type) , crystallography , gene

We present a new package, VEST (Vector Einstein Summation Tools), that performs abstract vector calculus computations in Mathematica. Through the use of index notation, VEST is able to reduce scalar and vector expressions of a very general type using a systematic canonicalization procedure. In addition, utilizing properties of the Levi-Civita symbol, the program can derive types of multi-term vector identities that are not recognized by canonicalization, subsequently applying these to simplify large expressions. In a companion paper [1], we employ VEST in the automation of the calculation of Lagrangians for the single particle guiding center system in plasma physics, a computation which illustrates its ability to handle very large expressions. VEST has been designed to be simple and intuitive to use, both for basic checking of work and more involved computations.

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