@article{PereraBoeckmann2020,
  author    = {Perera, Upeksha and B{\"o}ckmann, Christine},
  title     = {Solutions of Sturm-Liouville problems},
  series = {Mathematics},
  volume    = {8},
  journal   = {Mathematics},
  number    = {11},
  publisher = {MDPI},
  address   = {Basel},
  issn      = {2227-7390},
  doi       = {10.3390/math8112074},
  pages     = {14},
  year      = {2020},
  abstract  = {This paper further improves the Lie group method with Magnus expansion proposed in a previous paper by the authors, to solve some types of direct singular Sturm-Liouville problems. Next, a concrete implementation to the inverse Sturm-Liouville problem algorithm proposed by Barcilon (1974) is provided. Furthermore, computational feasibility and applicability of this algorithm to solve inverse Sturm-Liouville problems of higher order (for n=2,4) are verified successfully. It is observed that the method is successful even in the presence of significant noise, provided that the assumptions of the algorithm are satisfied. In conclusion, this work provides a method that can be adapted successfully for solving a direct (regular/singular) or inverse Sturm-Liouville problem (SLP) of an arbitrary order with arbitrary boundary conditions.},
  language  = {en}
}
@article{BenderBertheauKoerppenetal.2022,
  author    = {Bender, Benedict and Bertheau, Clementine and K{\"o}rppen, Tim and Lauppe, Hannah and Gronau, Norbert},
  title     = {A proposal for future data organization in enterprise systems},
  series = {Information systems and e-business management},
  volume    = {20},
  journal   = {Information systems and e-business management},
  publisher = {Springer},
  address   = {Heidelberg},
  issn      = {1617-9846},
  doi       = {10.1007/s10257-022-00555-6},
  pages     = {441 -- 494},
  year      = {2022},
  abstract  = {The digital transformation sets new requirements to all classes of enterprise systems in companies. ERP systems in particular, which represent the dominant class of enterprise systems, are struggling to meet the new requirements at all levels of the architecture. Therefore, there is an urgent need to reconsider the overall architecture of the systems and address the root of the related issues. Given that many restrictions ERP pose on their adaptability are related to the standardization of data, the database layer of ERP systems is addressed. Since database serve as the foundation for data storage and retrieval, they limit the flexibility of enterprise systems and the chance to adapt to new requirements accordingly. So far, relational databases are widely used. Using a systematic literature approach, recent requirements for ERP systems were identified. Prominent database approaches were assessed against the 23 requirements identified. The results reveal the strengths and weaknesses of recent database approaches. To this end, the results highlight the demand to combine multiple database approaches to fulfill recent business requirements. From a conceptual point of view, this paper supports the idea of federated databases which are interoperable to fulfill future requirements and support business operation. This research forms the basis for renewal of the current generation of ERP systems and proposes to ERP vendors to use different database concepts in the future.},
  language  = {en}
}