@ARTICLE{Taylor1981,
       author = {{Weisberg}, J.~M. and {Taylor}, J.~H. and {Fowler}, L.~A.},
        title = "{Gravitational waves from an orbiting pulsar}",
      journal = {Scientific American},
     keywords = {Binary Stars, Gravitational Waves, Pulsars, Relativity, Stellar Motions, Stellar Radiation, Mercury (Planet), Orbital Elements, Orbital Mechanics, Planetary Orbits, Radial Velocity, White Dwarf Stars, Astrophysics},
         year = 1981,
        month = oct,
       volume = {245},
        pages = {74-82},
          doi = {10.1038/scientificamerican1081-74},
       adsurl = {https://ui.adsabs.harvard.edu/abs/1981SciAm.245d..74W},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article{Backer1984,
author = {BACKER, D. C.},
title = {The 1.5-Millisecond Pulsar},
journal = {Annals of the New York Academy of Sciences},
volume = {422},
number = {1},
pages = {180-181},
doi = {https://doi.org/10.1111/j.1749-6632.1984.tb23351.x},
url = {https://nyaspubs.onlinelibrary.wiley.com/doi/abs/10.1111/j.1749-6632.1984.tb23351.x},
eprint = {https://nyaspubs.onlinelibrary.wiley.com/doi/pdf/10.1111/j.1749-6632.1984.tb23351.x},
year = {1984}
}

@book{Fourier1822,
  title={Th{\'e}orie analytique de la chaleur},
  author={Fourier, J.B.J.},
  series={Landmarks of Science},
  url={https://books.google.co.uk/books?id=TDQJAAAAIAAJ},
  year={1822},
  publisher={Didot}
}

@article{Goertzel1958,
 ISSN = {00029890, 19300972},
 URL = {http://www.jstor.org/stable/2310304},
 author = {Gerald Goertzel},
 journal = {The American Mathematical Monthly},
 number = {1},
 pages = {34--35},
 publisher = {[Taylor & Francis, Ltd., Mathematical Association of America]},
 title = {An Algorithm for the Evaluation of Finite Trigonometric Series},
 urldate = {2025-05-05},
 volume = {65},
 year = {1958}
}

@article{Cooley1965,
 ISSN = {00255718, 10886842},
 URL = {http://www.jstor.org/stable/2003354},
 author = {James W. Cooley and John W. Tukey},
 journal = {Mathematics of Computation},
 number = {90},
 pages = {297--301},
 publisher = {American Mathematical Society},
 title = {An Algorithm for the Machine Calculation of Complex Fourier Series},
 urldate = {2025-05-05},
 volume = {19},
 year = {1965}
}

@software{knierim_tikz_assortment,
  author       = {Anno Knierim},
  title        = {{aknierim/TikZ\_assortment: Assortment of TikZ 
                   graphics/source code.}},
  month        = apr,
  year         = 2024,
  publisher    = {Zenodo},
  version      = {v1.1},
  doi          = {10.5281/zenodo.11045574},
  url          = {https://doi.org/10.5281/zenodo.11045574}
}

@article{Hernandez2018,
   title={Time-symmetric integration in astrophysics},
   volume={475},
   ISSN={1365-2966},
   url={http://dx.doi.org/10.1093/mnras/sty184},
   DOI={10.1093/mnras/sty184},
   number={4},
   journal={Monthly Notices of the Royal Astronomical Society},
   publisher={Oxford University Press (OUP)},
   author={Hernandez, David M and Bertschinger, Edmund},
   year={2018},
   month=jan, pages={5570–5584}
}

@article{Moore2012,
    author = {Moore, J. D. and Skokov, K. P. and Liu, J. and Gutfleisch, O.},
    title = {Procedure for numerical integration of the magnetocaloric effect},
    journal = {Journal of Applied Physics},
    volume = {112},
    number = {6},
    pages = {063920},
    year = {2012},
    month = {09},
    issn = {0021-8979},
    doi = {10.1063/1.4754561},
    url = {https://doi.org/10.1063/1.4754561},
}

@article{Shu2024,
  author    = {Guoqiang Shu and Zheng Shan and Jinchen Xu and Jie Zhao and Shuya Wang},
  title     = {A general quantum algorithm for numerical integration},
  journal   = {Scientific Reports},
  volume    = {14},
  pages     = {10432},
  year      = {2024},
  doi       = {10.1038/s41598-024-61010-9},
  url       = {https://doi.org/10.1038/s41598-024-61010-9}
}

@incollection{chapra_canale_case_studies,
  author    = {Steven C. Chapra and Raymond P. Canale},
  title     = {Case Studies: Numerical Integration and Differentiation},
  booktitle = {Numerical Methods for Engineers},
  edition   = {6th},
  publisher = {McGraw-Hill},
  year      = {2010},
  chapter   = {24},
  pages     = {675--677},
  note      = {Accessed from https://lms.su.edu.pk/download?filename=1588353167-case-studies-nd-and-ni-numerical-methods-for-engineers-chapra-canale.pdf\&lesson=7570}
}

@incollection{chapra_canale_case_studies1,
  author    = {Steven C. Chapra and Raymond P. Canale},
  title     = {Case Studies: Numerical Integration and Differentiation},
  booktitle = {Numerical Methods for Engineers},
  edition   = {6th},
  publisher = {McGraw-Hill},
  year      = {2010},
  chapter   = {24},
  pages     = {677--680},
  note      = {Accessed from https://lms.su.edu.pk/download?filename=1588353167-case-studies-nd-and-ni-numerical-methods-for-engineers-chapra-canale.pdf\&lesson=7570}
}

@incollection{Stefanopoulou2015,
title = {10 - System-level management of rechargeable lithium-ion batteries},
editor = {Alejandro A. Franco},
booktitle = {Rechargeable Lithium Batteries},
publisher = {Woodhead Publishing},
pages = {281-302},
year = {2015},
series = {Woodhead Publishing Series in Energy},
isbn = {978-1-78242-090-3},
doi = {https://doi.org/10.1016/B978-1-78242-090-3.00010-9},
url = {https://www.sciencedirect.com/science/article/pii/B9781782420903000109},
author = {A.G. Stefanopoulou and Y. Kim},
keywords = {Battery state estimation, Cell equalization, Thermal management},
abstract = {Battery management systems are essential not only to protect lithium-ion batteries from violating operational constraints, but also to maximize utilization or efficiency. This chapter reviews basic system-level management strategies to estimate and control the electrical and thermal dynamics of Li-ion batteries in large banks of series-connected battery cells.}
}

@article{Jiang2014,
title = {Numerical Simulation of a Wind Turbine with a Hydraulic Transmission System},
journal = {Energy Procedia},
volume = {53},
pages = {44-55},
year = {2014},
note = {EERA DeepWind' 2014, 11th Deep Sea Offshore Wind R&D Conference},
issn = {1876-6102},
doi = {https://doi.org/10.1016/j.egypro.2014.07.214},
url = {https://www.sciencedirect.com/science/article/pii/S1876610214010911},
author = {Zhiyu Jiang and Limin Yang and Zhen Gao and Torgeir Moan},
keywords = {wind turbine, hydraulic transmission, Dynamic Link Library, Ordinary Differential Equation, Runge-Kutta-Fehlberg method},
}

@misc{control2025,
  title        = {Numerical Integration},
  author       = {{Control.com Editorial Team}},
  year         = {2025},
  url          = {https://control.com/textbook/calculus/numerical-integration},
  note         = {Accessed: 2025-05-08}
}

@article{Senthilkumar2013,
  title={Runge-Kutta(5,5) Methods for Robot Arm \& Initial Value Problem},
  author={Senthilkumar, Sukumar and Lee, Malrey and Kwon, Tae-Kyu},
  journal={International Journal of Control and Automation},
  volume={6},
  number={3},
  year={2013},
  publisher={NADIA},
  url={https://article.nadiapub.com/IJCA/vol6_no3/30.pdf}
}

@techreport{Ueng1995,
  author = {S. K. Ueng and K. Sikorski and Kwan-Liu Ma},
  title = {Fast Algorithms for Visualizing Fluid Motion in Steady Flow on Unstructured Grids},
  institution = {NASA},
  year = {1995},
  number = {NASA-CR-198198},
  address = {NASA Ames Research Center},
  note = {ICASE-95-58},
  url = {https://ntrs.nasa.gov/api/citations/19960002576/downloads/19960002576.pdf}
}

@inproceedings{Iskandar2022,
  author = {Iskandar, Danial and Tiong, Ong Chee},
  title = {The Application of Runge Kutta Fourth Order Method in SIR Model for simulation of COVID-19 Cases},
  year = {2022},
  pages = {61--70},
  url = {https://science.utm.my/procscimath/wp-content/uploads/sites/605/2022/10/61-70-Danial-Iskandar_Ong-Chee-Tiong.pdf},
  publisher = {Proc. Sci. Math.},
}

@article{Menon2025,
  author = {P.K.A. Menon and M.E. Badgett and R.A. Walker},
  title = {Nonlinear Maneuver Autopilot for the F-15 Aircraft},
  year = {1989},
  url = {https://ntrs.nasa.gov/api/citations/19900002171/downloads/19900002171.pdf}
}

@article{Wooward2011,
author = {Woodard, Mark and Cosgrove, Daniel and Morinelli, Patrick and Marchese, Jeffrey and Owens, Brandon and Folta, David},
year = {2011},
month = {01},
pages = {1683},
title = {Orbit Determination of Spacecraft in Earth-Moon L1 and L2 Libration Point Orbits},
volume = {142},
journal = {Advances in the Astronautical Sciences}
}

@article{Beard2005,
author = {Beard, Randal and Kingston, Derek and Quigley, Morgan and Snyder, Deryl and Christiansen, Reed and Johnson, Walt and McLain, Tim and Goodrich, Michael},
year = {2005},
month = {02},
title = {Autonomous Vehicle Technologies for Small Fixed-Wing UAVs},
volume = {2},
journal = {Journal of Aerospace Computing, Information, and Communication},
doi = {10.2514/1.8371}
}

@incollection{Sumanaweera2005,
  author = {Thilaka Sumanaweera and Donald Liu},
  title = {Medical Image Reconstruction with the FFT},
  booktitle = {GPU Gems 2},
  year = {2005},
  pages = {Chapter 48},
  url = {https://developer.nvidia.com/gpugems/gpugems2/part-vi-simulation-and-numerical-algorithms/chapter-48-medical-image-reconstruction}
}

@misc{Paschotta2019,
  author = {Paschotta, R.},
  publisher = {RP Photonics AG},
  title = {Fourier Transform Spectroscopy},
  abstract = {Fourier transform spectroscopy computes optical spectra from raw data using a Fourier transform algorithm.},
  year = {2019},
  month = {},
  howpublished = {RP Photonics Encyclopedia},
  url = {https://www.rp-photonics.com/fourier_transform_spectroscopy.html},
  doi = {10.61835/seo},
  urldate = {2025-05-08},
  keywords = {Fourier transform spectroscopy}
}

@article{Bevilacqua2025,
  title={Full-field Brillouin microscopy based on an imaging Fourier-transform spectrometer},
  author={Bevilacqua, C. and Prevedel, R.},
  journal={Nature Photonics},
  volume={19},
  pages={494--501},
  year={2025},
  doi={10.1038/s41566-025-01619-y}
}

@misc{Zhou2011,
      title={On discrete cosine transform}, 
      author={Jianqin Zhou},
      year={2011},
      eprint={1109.0337},
      archivePrefix={arXiv},
      primaryClass={cs.IT},
      url={https://arxiv.org/abs/1109.0337}, 
}

@article{Lin2016,
author = {Lin, Hsiung and Ye, Yu-Chen and Huang, Bo-Jyun and Su, Jia-Lun},
year = {2016},
month = {10},
pages = {},
title = {Bearing vibration detection and analysis using enhanced fast Fourier transform algorithm},
volume = {8},
journal = {Advances in Mechanical Engineering},
doi = {10.1177/1687814016675080}
}

@article{Noak2020,
author = {Noak, Devin and Darmawan, I Dewa Made Bayu Atmaja},
year = {2020},
month = {01},
pages = {325},
title = {Real Time Pitch Detection For Vocal Tuning Using FFT Algoritma And Spectrogram},
volume = {8},
journal = {JELIKU (Jurnal Elektronik Ilmu Komputer Udayana)},
doi = {10.24843/JLK.2020.v08.i03.p15}
}

@article{Kartono2020,
doi = {10.1088/1742-6596/1491/1/012021},
url = {https://dx.doi.org/10.1088/1742-6596/1491/1/012021},
year = {2020},
month = {mar},
publisher = {IOP Publishing},
volume = {1491},
number = {1},
pages = {012021},
author = {Kartono, A and Fatmawati, V W and Wahyudi, S T and Irmansyah},
title = {Numerical Solution of Nonlinear Schrodinger Approaches Using the Fourth-Order Runge-Kutta Method for Predicting Stock Pricing},
journal = {Journal of Physics: Conference Series},
}