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Mathematics
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Recent Advances in Scientific Computing & Applications
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Recent Advances in Scientific Computing & Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".

Deadline for manuscript submissions: 31 July 2025 | Viewed by 1907

Special Issue Editors

Prof. Dr. Tiberiu Letia

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Guest Editor
Faculty of Automation and Computer Science, Department of Automation, Technical University of Cluj-Napoca, 400020 Cluj-Napoca, Romania
Interests: real-time systems; real-time control; intelligent control; urban vehicle traffic control; railway traffic control
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Nicolae Tudoroiu

E-Mail Website
Guest Editor
Automation and Control, John Abbott College, Quebec, QC H9X 3L9, Canada
Interests: systems theory (linear, nonlinear, optimal, stochastic, and adaptive); artificial intelligence; neural networks; control systems; automation (PLC); signal processing; robotics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

New opportunities have appeared in the scientific research and applications of dynamic systems involving artificial intelligence or quantum computing.  Both are mixed in classical computation, leading to new concepts, methods, and approaches. New relations link abstract or physical entities, often beyond human understanding.

High-speed information transfer and communication benefit from new technology, leading to new support for dynamic systems. 

The newly conceived theories should involve different approaches for their validation, but these have to be generally approved and accepted by scientific societies. These theories can be applied to practical applications, but they need new, clear specifications and requirements for this purpose.

There is a gap between the complex mathematical techniques that sustain the new theories and their potential practical applications. The expected contributions can cover this gap for the benefit of the entire research community. 

Prof. Dr. Tiberiu Letia
Prof. Dr. Nicolae Tudoroiu
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • classical and quantum computing
  • classical and quantum computer interactions
  • application development technology
  • artificial intelligence
  • research methodology
  • dynamic control
  • evolutionary systems involved in dynamic systems
  • model finding, simulation and identification
  • algorithm synthesis
  • conceptual and theoretical frameworks

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Related Special Issue

Published Papers (2 papers)

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Research

30 pages, 481 KiB  
Article
Attempting the Impossible: Enumerating Extremal Submodular Functions for n = 6
by Elod P. Csirmaz and Laszlo Csirmaz
Mathematics 2025, 13(1), 97; https://doi.org/10.3390/math13010097 - 29 Dec 2024
Viewed by 864
Abstract
Enumerating the extremal submodular functions defined on subsets of a fixed base set has only been done for base sets up to five elements. This paper reports the results of attempting to generate all such functions on a six-element base set. Using improved [...] Read more.
Enumerating the extremal submodular functions defined on subsets of a fixed base set has only been done for base sets up to five elements. This paper reports the results of attempting to generate all such functions on a six-element base set. Using improved tools from polyhedral geometry, we have computed 360 billion of them, and provide the first reasonable estimate of their total number, which is expected to be between 1000 and 10,000 times this number. The applied Double Description and Adjacency Decomposition methods require an insertion order of the defining inequalities. We introduce two novel orders, which speed up the computations significantly, and provide additional insight into the highly symmetric structure of submodular functions. We also present an improvement to the combinatorial test used as part of the Double Description method, and use statistical analyses to estimate the degeneracy of the polyhedral cone used to describe these functions. The statistical results also highlight the limitations of the applied methods. Full article
(This article belongs to the Special Issue Recent Advances in Scientific Computing & Applications)
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10 pages, 1867 KiB  
Article
A New Scheme to Generate Frequency 12-tupling Millimeter Wave Signals Only Based on Cascaded Three MZMs
by Dongfei Wang, Xueyao Yan, Zufang Yang, Xiangqing Wang and Xiaokun Yang
Mathematics 2024, 12(23), 3759; https://doi.org/10.3390/math12233759 - 28 Nov 2024
Cited by 1 | Viewed by 585
Abstract
In the proposed scheme, only three Mach–Zehnder modulators (MZMs) in cascaded mode are employed to generate a frequency 12-tupling millimeter wave (mm-wave) signal. In order to eventually get the frequency 12-tupling mm-wave signal, it is necessary to generate ±6th order harmonics. Therefore, the [...] Read more.
In the proposed scheme, only three Mach–Zehnder modulators (MZMs) in cascaded mode are employed to generate a frequency 12-tupling millimeter wave (mm-wave) signal. In order to eventually get the frequency 12-tupling mm-wave signal, it is necessary to generate ±6th order harmonics. Therefore, the next work is to generate pure ±6th order optical sidebands to obtain a high-quality frequency 12-tupling signal. First of all, by adjusting the MZM bias voltage at peak point to suppress odd order sidebands; then, by controlling the phase differences to cancel even order sidebands except for the (6n)th order; lastly, by setting the modulation index to eliminate the 0th order optical carrier. Based on the above, the pure ±6th order optical harmonics are obtained. Moreover, the feasibility of the scheme has been demonstrated through a simulation. The optical sideband suppression ratio (OSSR) and radio frequency spurious suppression ratio (RFSSR) of the generated signal are 59.45 dB and 44.44 dB, respectively. In the end, the non-ideal factors that will affect the signal quality are also analyzed. Full article
(This article belongs to the Special Issue Recent Advances in Scientific Computing & Applications)
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