thesis.bbl 5.1 KB

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  1. \begin{thebibliography}{HSW89}
  2. % this bibliography is generated by alphadin.bst [8.2] from 2005-12-21
  3. \providecommand{\url}[1]{\texttt{#1}}
  4. \expandafter\ifx\csname urlstyle\endcsname\relax
  5. \providecommand{\doi}[1]{doi: #1}\else
  6. \providecommand{\doi}{doi: \begingroup \urlstyle{rm}\Url}\fi
  7. \bibitem[And91]{Anderson1991}
  8. \textsc{Anderson}, Robert~M. Roy Malcolm;~May~M. Roy Malcolm;~May:
  9. \newblock \emph{Infectious diseases of humans : dynamics and control}.
  10. \newblock Oxford University Press, 1991
  11. \bibitem[Dem21]{Demtroeder2021}
  12. \textsc{Demtröder}, Wolfgang:
  13. \newblock \emph{Lehrbuch}. Bd.~1: {\emph{Experimentalphysik 1}}.
  14. \newblock 9. Auflage.
  15. \newblock Berlin : Springer Spektrum, 2021. --
  16. \newblock ISBN 978--3--662--62727--3. --
  17. \newblock Auf dem Umschlag: Mit über 2,5 h Lösungsvideos zu ausgewählten
  18. Aufgaben
  19. \bibitem[EK05]{EdelsteinKeshet2005}
  20. \textsc{Edelstein-Keshet}, Leah:
  21. \newblock \emph{Mathematical Models in Biology}.
  22. \newblock Society for Industrial and Applied Mathematics, 2005
  23. \bibitem[GBC16]{Goodfellow-et-al-2016}
  24. \textsc{Goodfellow}, Ian ; \textsc{Bengio}, Yoshua ; \textsc{Courville},
  25. Aaron:
  26. \newblock \emph{Deep Learning}.
  27. \newblock MIT Press, 2016. --
  28. \newblock \url{http://www.deeplearningbook.org}
  29. \bibitem[HSW89]{Hornik1989}
  30. \textsc{Hornik}, Kurt ; \textsc{Stinchcombe}, Maxwell ; \textsc{White},
  31. Halbert:
  32. \newblock Multilayer feedforward networks are universal approximators.
  33. \newblock {In: }\emph{Neural Networks} 2 (1989), Januar, Nr. 5, S. 359--366.
  34. \newblock \url{http://dx.doi.org/10.1016/0893-6080(89)90020-8}. --
  35. \newblock DOI 10.1016/0893--6080(89)90020--8. --
  36. \newblock ISSN 0893--6080
  37. \bibitem[KM27]{1927}
  38. \textsc{Kermack}, William~O. ; \textsc{McKendrick}, A.~G.:
  39. \newblock A contribution to the mathematical theory of epidemics.
  40. \newblock {In: }\emph{Proceedings of the Royal Society of London. Series A,
  41. Containing Papers of a Mathematical and Physical Character} 115 (1927),
  42. August, Nr. 772, S. 700--721.
  43. \newblock \url{http://dx.doi.org/10.1098/rspa.1927.0118}. --
  44. \newblock DOI 10.1098/rspa.1927.0118. --
  45. \newblock ISSN 2053--9150
  46. \bibitem[LLF97]{Lagaris1997}
  47. \textsc{Lagaris}, I.~E. ; \textsc{Likas}, A. ; \textsc{Fotiadis}, D.~I.:
  48. \newblock Artificial Neural Networks for Solving Ordinary and Partial
  49. Differential Equations.
  50. \newblock (1997).
  51. \newblock \url{http://dx.doi.org/10.48550/ARXIV.PHYSICS/9705023}. --
  52. \newblock DOI 10.48550/ARXIV.PHYSICS/9705023
  53. \bibitem[Mat84]{Matsumoto1984}
  54. \textsc{Matsumoto}, T.:
  55. \newblock A chaotic attractor from Chua’s circuit.
  56. \newblock {In: }\emph{IEEE Transactions on Circuits and Systems} 31 (1984),
  57. Dezember, Nr. 12, S. 1055--1058.
  58. \newblock \url{http://dx.doi.org/10.1109/tcs.1984.1085459}. --
  59. \newblock DOI 10.1109/tcs.1984.1085459. --
  60. \newblock ISSN 0098--4094
  61. \bibitem[MP72]{Minsky1972}
  62. \textsc{Minsky}, Marvin ; \textsc{Papert}, Seymour~A.:
  63. \newblock \emph{Perceptrons}.
  64. \newblock 2. print. with corr.
  65. \newblock Cambridge/Mass. [u.a.] : The MIT Press, 1972. --
  66. \newblock ISBN 9780262630221. --
  67. \newblock Literaturangaben
  68. \bibitem[MPF23]{Millevoi2023}
  69. \textsc{Millevoi}, Caterina ; \textsc{Pasetto}, Damiano ; \textsc{Ferronato},
  70. Massimiliano:
  71. \newblock A Physics-Informed Neural Network approach for compartmental
  72. epidemiological models.
  73. \newblock (2023).
  74. \newblock \url{http://dx.doi.org/10.48550/ARXIV.2311.09944}. --
  75. \newblock DOI 10.48550/ARXIV.2311.09944
  76. \bibitem[Oks00]{Oksendal2000}
  77. \textsc{Oksendal}, Bernt:
  78. \newblock \emph{Stochastic Differential Equations}.
  79. \newblock 5th ed.
  80. \newblock Berlin, Heidelberg : Springer Berlin / Heidelberg, 2000 (Universitext
  81. Ser.). --
  82. \newblock ISBN 3--540--63720--6. --
  83. \newblock Description based on publisher supplied metadata and other sources.
  84. \bibitem[Ros58]{Rosenblatt1958}
  85. \textsc{Rosenblatt}, F.:
  86. \newblock The perceptron: A probabilistic model for information storage and
  87. organization in the brain.
  88. \newblock {In: }\emph{Psychological Review} 65 (1958), Nr. 6, S. 386--408.
  89. \newblock \url{http://dx.doi.org/10.1037/h0042519}. --
  90. \newblock DOI 10.1037/h0042519. --
  91. \newblock ISSN 0033--295X
  92. \bibitem[RPK17]{Raissi2017}
  93. \textsc{Raissi}, Maziar ; \textsc{Perdikaris}, Paris ; \textsc{Karniadakis},
  94. George~E.:
  95. \newblock \emph{Physics Informed Deep Learning (Part I): Data-driven Solutions
  96. of Nonlinear Partial Differential Equations}
  97. \bibitem[Rud07]{Rudin2007}
  98. \textsc{Rudin}, Walter:
  99. \newblock \emph{Analysis}.
  100. \newblock Oldenbourg Wissenschaftsverlag GmbH, 2007
  101. \bibitem[Sch26]{Schroedinger1926}
  102. \textsc{Schrödinger}, E.:
  103. \newblock An Undulatory Theory of the Mechanics of Atoms and Molecules.
  104. \newblock {In: }\emph{Physical Review} 28 (1926), Dezember, Nr. 6, S.
  105. 1049--1070.
  106. \newblock \url{http://dx.doi.org/10.1103/physrev.28.1049}. --
  107. \newblock DOI 10.1103/physrev.28.1049. --
  108. \newblock ISSN 0031--899X
  109. \bibitem[SRS21]{Shaier2021}
  110. \textsc{Shaier}, Sagi ; \textsc{Raissi}, Maziar ; \textsc{Seshaiyer},
  111. Padmanabhan:
  112. \newblock \emph{Data-driven approaches for predicting spread of infectious
  113. diseases through DINNs: Disease Informed Neural Networks}
  114. \bibitem[TP85]{Tenenbaum1985}
  115. \textsc{Tenenbaum}, Morris ; \textsc{Pollard}, Harry:
  116. \newblock \emph{Ordinary Differential Equations}.
  117. \newblock Harper and Row, Publishers, Inc., 1985
  118. \end{thebibliography}