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  1. Diabetes Mellitus is a metabolic disorder which may result in severe and potentially fatal complications if not well-treated and monitored. In this study, a quantitative analysis of the data collected using CG...

    Authors: Giulia Elena Aliffi, Giovanni Nastasi, Vittorio Romano, Dario Pitocco, Alessandro Rizzi, Elvin J. Moore and Andrea De Gaetano
    Citation: Journal of Mathematics in Industry 2024 14:23
  2. While interactive simulations have been mostly limited to Computer Graphics applications, new generations of Graphics Processing Units (GPUs) allow the realization of industrial-grade interactive 3D physics si...

    Authors: Stefan Gavranovic, Zain Hassan, Lukas Failer and Dirk Hartmann
    Citation: Journal of Mathematics in Industry 2024 14:22
  3. This paper addresses the challenging task of guide wire navigation in cardiovascular interventions, focusing on the parameter estimation of a guide wire system using Ensemble Kalman Inversion (EKI) with a subs...

    Authors: Matei Hanu, Jürgen Hesser, Guido Kanschat, Javier Moviglia, Claudia Schillings and Jan Stallkamp
    Citation: Journal of Mathematics in Industry 2024 14:21
  4. In the design process of large adaptive mirrors numerical simulations represent the first step to evaluate the system design compliance in terms of performance, stability and robustness. For the next generatio...

    Authors: Bernadett Stadler, Roberto Biasi, Mauro Manetti, Andreas Obereder, Ronny Ramlau and Matteo Tintori
    Citation: Journal of Mathematics in Industry 2024 14:20
  5. In this paper we propose an algorithm for testing whether the independent observations come from finite-variance distribution. The preliminary knowledge about the data properties may be crucial for its further...

    Authors: Katarzyna Skowronek, Radosław Zimroz and Agnieszka Wyłomańska
    Citation: Journal of Mathematics in Industry 2024 14:19
  6. In this work we focus on the development of a numerical algorithm for the inverse elastography problem. The goal is to perform an efficient material parameter identification knowing the elastic displacement fi...

    Authors: Sílvia Barbeiro, Rafael Henriques and José Luis Santos
    Citation: Journal of Mathematics in Industry 2024 14:18
  7. Training defect detection algorithms for visual surface inspection systems requires a large and representative set of training data. Often there is not enough real data available which additionally cannot cove...

    Authors: Natascha Jeziorski and Claudia Redenbach
    Citation: Journal of Mathematics in Industry 2024 14:17
  8. The molecular movement in single particle tracking (SPT) experiments shows a crucial role of diffusion in many biological processes such as signaling, cellular organization, transport mechanisms, and more. The...

    Authors: Aleksander A. Stanislavsky and Aleksander Weron
    Citation: Journal of Mathematics in Industry 2024 14:16
  9. In this paper we build a methodology for pricing of insurance-linked securities which are tied to multiple natural catastrophe perils. As a representative example, we construct a multi-peril catastrophe (CAT) ...

    Authors: Krzysztof Burnecki, Marek A. Teuerle and Martyna Zdeb
    Citation: Journal of Mathematics in Industry 2024 14:14
  10. Functional data analysis is typically performed in two steps: first, functionally representing discrete observations, and then applying functional methods to the so-represented data. The initial choice of a fu...

    Authors: Rani Basna, Hiba Nassar and Krzysztof Podgórski
    Citation: Journal of Mathematics in Industry 2024 14:13
  11. This paper employs a statistical mechanical model as a framework to investigate how socioeconomic factors of individuals such as gender and place of residence influence their decision when deciding between com...

    Authors: Richard Kwame Ansah, Alex Akwasi Opoku, Kassim Tawiah, Richard Kena Boadi, Bridget Nana-Ama Gana, Sampson Tackie, Maud Avevor Ayornu and Stephen Manu Ampofo Mills
    Citation: Journal of Mathematics in Industry 2024 14:12
  12. Concatenated backward ray mapping is an alternative for ray tracing in 2D. It is based on the phase-space description of an optical system. Phase space is the set of position and direction coordinates of light...

    Authors: Willem Jansen, Martijn Anthonissen, Jan ten Thije Boonkkamp and Wilbert IJzerman
    Citation: Journal of Mathematics in Industry 2024 14:11
  13. In the present paper the high-frequency induction welding process is studied numerically. The mathematical model comprises a harmonic vector potential formulation of the Maxwell equations and a quasi-static, c...

    Authors: John Inge Asperheim, Prerana Das, Bjørnar Grande, Dietmar Hömberg and Thomas Petzold
    Citation: Journal of Mathematics in Industry 2024 14:10
  14. In epidemic modeling, interpretation of compartment quantities, such as s, i, and r in relevant equations, is not always straightforward. Ambiguities regarding whether these quantities represent numbers or fracti...

    Authors: Ihsan Arharas, Mohamed El Fatini, Mohammed Louriki and Roger Pettersson
    Citation: Journal of Mathematics in Industry 2024 14:9
  15. Mathematical modelling of a dengue epidemic with two serotypes including a temporary cross-immunity yields a nonlinear system consisting of ordinary differential equations (ODEs). We investigate an optimal con...

    Authors: Bernd Kugelmann and Roland Pulch
    Citation: Journal of Mathematics in Industry 2024 14:8
  16. Thermal spray coating is a critical process in many industries, involving the application of coatings to surfaces to enhance their functionality. This paper proposes a framework for modelling and predicting cr...

    Authors: Wolfgang Rannetbauer, Simon Hubmer, Carina Hambrock and Ronny Ramlau
    Citation: Journal of Mathematics in Industry 2024 14:7
  17. Design patterns provide a systematic way to convey solutions to recurring modeling challenges. This paper introduces design patterns for hybrid modeling, an approach that combines modeling based on first princ...

    Authors: Maja Rudolph, Stefan Kurz and Barbara Rakitsch
    Citation: Journal of Mathematics in Industry 2024 14:3
  18. Volatile electrical energy prices are a challenge and an opportunity for small and medium-sized companies in energy-intensive industries. By using electrical energy storage and/or an adaptation of production p...

    Authors: Michael Stiglmayr, Svenja Uhlemeyer, Björn Uhlemeyer and Markus Zdrallek
    Citation: Journal of Mathematics in Industry 2024 14:2
  19. As the number one building material, concrete is of fundamental importance in civil engineering. Understanding its failure mechanisms is essential for designing sustainable buildings and infrastructure. Micro-...

    Authors: Christian Jung and Claudia Redenbach
    Citation: Journal of Mathematics in Industry 2023 13:10
  20. In this paper, we model mass running urban races, taking into consideration several conditioning factors. The main goal is to find ideal configurations of the start of the race, splitting it into several waves...

    Authors: Ricardo Enguiça and Nuno D. Lopes
    Citation: Journal of Mathematics in Industry 2023 13:8
  21. Parallel-in-time (PinT) methods were developed to accelerate time-domain solution of evolutionary problems using modern parallel computer architectures. In this paper we incorporate one of the efficient PinT a...

    Authors: Jens Hahne, Björn Polenz, Iryna Kulchytska-Ruchka, Stephanie Friedhoff, Stefan Ulbrich and Sebastian Schöps
    Citation: Journal of Mathematics in Industry 2023 13:6
  22. Crop protection from diseases through applications of plant protection products is crucial to secure worldwide food production. Nevertheless, sustainable management of plant diseases is an open challenge with ...

    Authors: Alessandro Benfenati, Paola Causin, Roberto Oberti and Giovanni Stefanello
    Citation: Journal of Mathematics in Industry 2023 13:5
  23. We consider an optimal control problem for a single-spot pulsed laser welding problem. The distribution of thermal energy is described by a quasilinear heat equation. Our emphasis is on materials which tend to...

    Authors: Roland Herzog and Dmytro Strelnikov
    Citation: Journal of Mathematics in Industry 2023 13:4
  24. Fast assessment of the composition of amyloid fibril samples from cryo-EM data poses a serious challenge to existing image analysis tools. We develop a method for automated segmentation of single fibrils requi...

    Authors: Matthias Weber, Matthias Neumann, Matthias Schmidt, Peter Benedikt Pfeiffer, Akanksha Bansal, Marcus Fändrich and Volker Schmidt
    Citation: Journal of Mathematics in Industry 2023 13:2
  25. To ensure safety in automated driving, the correct perception of the situation inside the car is as important as its environment. Thus, seat occupancy detection and classification of detected instances play an...

    Authors: Claudia Drygala, Matthias Rottmann, Hanno Gottschalk, Klaus Friedrichs and Thomas Kurbiel
    Citation: Journal of Mathematics in Industry 2022 12:13
  26. In this paper the industrial application of Reduced Order Multirate (ROMR) schemes is presented. This paper contains the mathematical foundations of the ROMR schemes and elaborates on the construction of these...

    Authors: Marcus W. F. M. Bannenberg, Angelo Ciccazzo and Michael Günther
    Citation: Journal of Mathematics in Industry 2022 12:12
  27. This work is devoted to the efficient simulation of large multi-physical networks stemming from automated modelling processes in system simulation software. The simulation of hybrid, battery and fuel cell elec...

    Authors: Michael Kolmbauer, Günter Offner, Ralf Uwe Pfau and Bernhard Pöchtrager
    Citation: Journal of Mathematics in Industry 2022 12:11
  28. Understanding the physical basis of corneal transparency has been a subject of interest amongst physicists, basic scientists and ophthalmologists. Impairment of corneal clarity is a significant cause of visual...

    Authors: Adérito Araújo, Sílvia Barbeiro, Rui Bernardes, Miguel Morgado and Sunčica Sakić
    Citation: Journal of Mathematics in Industry 2022 12:10
  29. Cloudiness or formation is a concept routinely used in industry to address deviations from homogeneity in nonwovens and papers. Measuring a cloudiness index based on image data is a common task in industrial q...

    Authors: Michael Godehardt, Ali Moghiseh, Christine Oetjen, Joachim Ohser and Katja Schladitz
    Citation: Journal of Mathematics in Industry 2022 12:9
  30. The integration of machine learning (Keplerian paradigm) and more general artificial intelligence technologies with physical modeling based on first principles (Newtonian paradigm) will impact scientific compu...

    Authors: Stefan Kurz, Herbert De Gersem, Armin Galetzka, Andreas Klaedtke, Melvin Liebsch, Dimitrios Loukrezis, Stephan Russenschuck and Manuel Schmidt
    Citation: Journal of Mathematics in Industry 2022 12:8
  31. A natural coupling of a circuit with an electromagnetic device is possible if special boundary conditions, called Electric Circuit Element (ECE), are used for the electromagnetic field formulation. This contri...

    Authors: Gabriela Ciuprina, Daniel Ioan and Ruth V. Sabariego
    Citation: Journal of Mathematics in Industry 2022 12:7
  32. The use of trigonometric polynomials as Lagrange multipliers in the harmonic mortar method enables an efficient and elegant treatment of relative motion in the stator-rotor coupling of electric machine simulat...

    Authors: Herbert Egger, Mané Harutyunyan, Richard Löscher, Melina Merkel and Sebastian Schöps
    Citation: Journal of Mathematics in Industry 2022 12:6
  33. Medical data often appear in the form of numerical matrices or sequences. We develop mathematical tools for automatic screening of such data in two medical contexts: diagnosis of systemic lupus erythematosus (...

    Authors: Ana Carpio, Alejandro Simón, Alicia Torres and Luis F. Villa
    Citation: Journal of Mathematics in Industry 2022 12:3
  34. In the field of model order reduction for frequency response problems, the minimal rational interpolation (MRI) method has been shown to be quite effective. However, in some cases, numerical instabilities may ...

    Authors: Davide Pradovera and Fabio Nobile
    Citation: Journal of Mathematics in Industry 2022 12:2
  35. Deep learning is a powerful tool, which is becoming increasingly popular in financial modeling. However, model validation requirements such as SR 11-7 pose a significant obstacle to the deployment of neural ne...

    Authors: Nikolai Nowaczyk, Jörg Kienitz, Sarp Kaya Acar and Qian Liang
    Citation: Journal of Mathematics in Industry 2022 12:1
  36. In topology optimization the goal is to find the ideal material distribution in a domain subject to external forces. The structure is optimal if it has the highest possible stiffness. A volume constraint ensur...

    Authors: Moritz Ebeling-Rump, Dietmar Hömberg, Robert Lasarzik and Thomas Petzold
    Citation: Journal of Mathematics in Industry 2021 11:19
  37. We develop a methodology for classifying defects based on their morphology and induced mechanical response. The proposed approach is fairly general and relies on morphological operators (Angulo and Meyer in 9t...

    Authors: Hugo Launay, François Willot, David Ryckelynck and Jacques Besson
    Citation: Journal of Mathematics in Industry 2021 11:18
  38. The finite element method is widely used in simulations of various fields. However, when considering domains whose extent differs strongly in different spatial directions a finite element simulation becomes co...

    Authors: Jonas Bundschuh, Laura A. M. D’Angelo and Herbert De Gersem
    Citation: Journal of Mathematics in Industry 2021 11:17