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BiBTeX citation export for WEPLS14: A C++ TPSA/DA Library With Python Wrapper

  author       = {H. Zhang and Y. Zhang},
  title        = {{A C++ TPSA/DA Library With Python Wrapper}},
  booktitle    = {Proc. NAPAC'19},
  pages        = {796--798},
  paper        = {WEPLS14},
  language     = {english},
  keywords     = {multipole, simulation, operation, framework, collective-effects},
  venue        = {Lansing, MI, USA},
  series       = {North American Particle Accelerator Conference},
  number       = {4},
  publisher    = {JACoW Publishing, Geneva, Switzerland},
  month        = {10},
  year         = {2019},
  issn         = {2673-7000},
  isbn         = {978-3-95450-223-3},
  doi          = {10.18429/JACoW-NAPAC2019-WEPLS14},
  url          = {http://jacow.org/napac2019/papers/wepls14.pdf},
  note         = {https://doi.org/10.18429/JACoW-NAPAC2019-WEPLS14},
  abstract     = {Truncated power series algebra (TPSA) or differential algebra (DA) is often used by accelerator physicists to generate a transfer map of a dynamic system. The map then can be used in dynamic analysis of the system or in particle tracking study. TPSA/DA can also be used in some fast algorithms, eg. the fast multipole method, for collective effect simulation. This paper reports a new TPSA/DA library written in C++. This library is developed based on Dr. Lingyun Yang’s TPSA code, which has been used in MAD-X and PTC. Compared with the original code, the updated version has the following changes: (1) The memory management has been revised to improve the efficiency; (2) A new data type of DA vector is defined and supported by most frequently used operators; (3) Support of inverse trigonometric functions and hyperbolic functions for the DA vector has been added; (4) function composition is revised for better efficiency; (5) a python wrapper is provided. The code is hosted at github and available to the public.},