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arXiv 2025年

作者： Schytt, Marcus Johan Pétursson, Halldór Gauti Jørgensen, John Bagterp Department of Applied Mathematics and Computer Science Technical University of Denmark Kongens Lyngby2800 Denmark MCT Bioseparation ApS Kongens Lyngby2800 Denmark 2-control ApS Herning7400 Denmark

This paper presents a hybrid optimization methodology for parameter estimation of reactive transport systems. Using reduced-order advection-diffusion-reaction (ADR) models, the computational requirements of global optimization with dynamic PDE constraints are addressed by combining metaheuristics with gradient-based optimizers. A case study in preparative liquid chromatography shows that the method achieves superior computational efficiency compared to traditional multi-start methods, demonstrating the potential of hybrid strategies to advance parameter estimation in large-scale, dynamic chemical engineering *** Codes 49M41 (Primary) 35Q49, 35K57, 65K10, (Secondary) © 2025, CC BY-NC-ND.

关键词： Liquid chromatography

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Minimization of Nonlinear Energies in Python Using FEM and Automatic Differentiation Tools 15th

Minimization of Nonlinear Energies in Python Using FEM and...

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15th International Conference on Parallel Processing and applied mathematics, PPAM 2024

作者： Béreš, Michal Valdman, Jan Institute of Geonics of the Czech Academy of Sciences Studentská 1768 Ostrava708 00 Czech Republic Department of Applied Mathematics VSB - Technical University of Ostrava 17. listopadu 15/2172 Ostrava708 00 Czech Republic Institute of Information Theory and Automation of the Czech Academy of Sciences Pod vodárenskou věží 4 Prague18208 Czech Republic Department of Computer Science Faculty of Science University of South Bohemia Branišovská 31 České Budějovice37005 Czech Republic

ISBN: (纸本)9783031857027

This contribution examines the capabilities of the Python ecosystem to solve nonlinear energy minimization problems, with a particular focus on transitioning from traditional MATLAB methods to Python’s advanced computational tools, such as automatic differentiation. We demonstrate Python’s streamlined approach to minimizing nonlinear energies by analyzing three problem benchmarks - the p-Laplacian, the Ginzburg-Landau model, and the Neo-Hookean hyperelasticity. This approach merely requires the provision of the energy functional itself, making it a simple and efficient way to solve this category of problems. The results show that the implementation is about ten times faster than the MATLAB implementation for large-scale problems. Our findings highlight Python’s efficiency and ease of use in scientific computing, establishing it as a preferable choice for implementing sophisticated mathematical models and accelerating the development of numerical simulations. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.

关键词： Python

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On the constitutive behaviour of the inertial drag with radiative and dissipative heat and chemical reaction for Casson fluid flow over an extending surface through permeable medium

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Partial Differential Equations in applied mathematics 2025年 14卷

作者： Baithalu, Rupa Agbaje, Titilayo M Panda, Subhajit Mishra, S.R. Department of Mathematics Siksha ‘O’ Anusandhan Deemed to be University Odisha Bhubaneswar 751030 India School of Computer Science and Applied Mathematics University of the Witwatersrand Private Bag 3 Braamfontein Johannesburg 2050 South Africa Centre for Data Science Department of Computer Science and Engineering Siksha ‘O’ Anusandhan Deemed to be University Odisha Bhubaneswar 751030 India

In advanced industrial and biomedical application combined with polymer processing, blood flow analysis, and food processing, the Casson fluid model emerged as a crucial framework for illustrating the transportation of non-Newtonian fluids. The proposed analysis investigates the constitutive behavior of the Darcy-Forchheimer inertial drag considering Casson fluid flow through an extending surface packed with Darcy medium. Also, favorable body forces like radiative and dissipative heat effects and chemical reactions are analyzed to carry out the synergistic role in the thermal and concentration distribution. The suitable assumptions of transformation rules are adopted to transform the governing flow phenomena into dimensionless forms. This leads to the appearance of certain factors involved in these governing equations. Further, coupled nonlinear sets of model problems are handled numerically employing the “spectral Quasi-linearization method”. The conformity of the attribute of convergence of the current strategy and the validation with the earlier investigation supported the particular cases. Further, the behaviour of the controlling factors on the flow profiles is depicted graphically. The results reveal the effective interaction of inertial drag and radiant heat on the velocity vis-a-vis temperature distributions. Moreover, the illustration of the enhanced chemical reaction influences the concentration profile with stronger reactions leading to sharper gradients. © 2025 The Author(s)

关键词： Casson fluid Chemical reaction Darcy-Forchheimer drag Shooting based numerical technique Thermal radiation

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Radiative heat transfer in MHD copper-based polymer nanofluid over a sphere using larger radius and inter particle spacing of nanoparticles

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Results in Engineering 2025年 26卷

作者： Darvesh, Adil Boukhris, Imed Collantes Santisteban, Luis Jaime Al-Buriahi, M.S. Elqahtani, Zainab Mufarreh Akgül, Ali García, Lucerito Katherine Ortiz Hassani, Murad Khan Department of Mathematics and Statistics Hazara University Mansehra21300 Pakistan Department of Physics Faculty of Science King Khalid University P.O. Box 960 Abha Saudi Arabia Department of Mathematics Universidad Nacional Pedro Ruiz Gallo Lambayeque Peru Department of Physics Sakarya University Sakarya Turkey Department of Physics College of science Princess Nourah bint Abdulrahman University P.O. Box 84428 Riyadh11671 Saudi Arabia Department of Electronics and Communication Engineering Saveetha School of Engineering SIMATS Tamilnadu Chennai India Siirt University Art and Science Faculty Department of Mathematics Siirt56100 Turkey Department of Computer Engineering Biruni University Topkapı Istanbul34010 Turkey Near East University Mathematics Research Center Department of Mathematics Near East Boulevard PC: 99138 Nicosia Mersin 10 Turkey Applied Science Research Center. Applied Science Private University Amman Jordan Universidad Nacional Pedro Ruiz Gallo Lambayeque Peru Ghazni University Department of Mathematics Afghanistan

The impact of nanoparticle size and interparticles spacing play a crucial role in fluid theology due to its significance on enhance heat transfer performance, which is crucial in many engineering and industrial processes particularly in thermal management systems. Due to this attention, the proposed study aims to explore the influence of nanoparticle radius and inter-particle spacing on thermal transport in a Copper (Cu) Polymer nanofluid over a sphere with radiative and magnetohydrodynamic (MHD) effects. Physical model incorporates Carreau fluid viscosity model. In addition, with incorporation of exponential heat generation and thermal radiation, the analysis reveals how tuning nanoparticle geometry significantly enhances heat transfer performance, which is critical for advanced thermal management systems. The governing nonlinear partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) using similarity transformations and solved using the well-known bvp4c computational method. Results of proposed study indicate that larger nanoparticles and wider inter-particle spacing improve thermophysical and rheological behavior of fluid specifically thermal conductivity and fluid viscosity, which enhanced heat transport and intensified the temperature profile. Conversely, velocity profile decreases for smaller particle sizes and spacing but improves with increased nanoparticle dimensions. © 2025 The Author(s)

关键词： Radiant heating

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Critical (P5, W4)-Free Graphs

arXiv

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arXiv 2025年

作者： Xia, Wen Jooken, Jorik Goedgebeur, Jan Beaton, Iain Cameron, Ben Huang, Shenwei College of Computer Science Nankai University Tianjin300071 China Tianjin Key Laboratory of Network and Data Security Technology Nankai University Tianjin300071 China Department of Computer Science KU Leuven Campus Kulak-Kortrijk Kortrijk8500 Belgium Department of Applied Mathematics Computer Science and Statistics Ghent University Ghent9000 Belgium Department of Mathematics and Statistics Acadia University WolfvilleNS Canada School of Mathematical and Computational Sciences University of Prince Edward Island CharlottetownPE Canada

A graph G is k-vertex-critical if χ(G) = k but χ(G − v) 1, H2)-free if it contains no induced subgraph isomorphic to H1 nor H2. A W4 is the graph consisting of a C4 plus an additional vertex adjacent to all the vertices of the C4. We show that there are finitely many k-vertex-critical (P5, W4)-free graphs for all k ≥ 1 and we characterize all 5-vertex-critical (P5, W4)-free graphs. Our results imply the existence of a polynomial-time certifying algorithm to decide the k-colorability of (P5, W4)-free graphs for each k ≥ 1 where the certificate is either a k-coloring or a (k + 1)-vertex-critical induced subgraph. Copyright © 2025, The Authors. All rights reserved.

关键词： Graph algorithms

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Prediction of land cover changes in an Urban City of Bangladesh using artificial neural network-based cellular automata

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Urban Lifeline 2025年第1期3卷 1-16页

作者： Yeasmin, Tania Karmaker, Sourav Islam, Md Shafiqul Hasan, Irteja Rahman, Saifur Hasan, Mahmudul GIS & RS Solution Dhaka Bangladesh Envirocare International Limited Dhaka Bangladesh Faculty of Computer Science Mathematics and Geoinformatics Stuttgart University of Applied Sciences Stuttgart Germany EQMS Consulting Limited Dhaka Bangladesh Department of Coastal Studies and Disaster Management University of Barishal Barishal Bangladesh Department of Geo-Information Science and Earth Observations Patuakhali Science and Technology University Patuakhali Bangladesh

Savar, a newly developed suburb of Dhaka, is rapidly urbanizing due to various socioeconomic and environmental factors. This study was conducted to evaluate temporal and spatial changes in Land Use and Land Cover (LULC) for the years 1980, 2000, and 2020 and predict future LULC changes. Supervised classification algorithms and cellular automata model based on Artificial Neural Networks (ANN) were used to prepare LULC maps and future simulations. The methodology was designed to overcome limitations in traditional land use and land cover change modeling, including low accuracy, computational inefficiency, and limited adaptability to complex spatial patterns. The study revealed that the rate of built-up area increased significantly over 40 years while barren land and agricultural land decreased drastically. Future LULC simulation results illustrated that the built-up area would increase by 95.07 km2 (33.29%) in 2040. The model's prediction of the growth of built-up areas by 2040 demonstrated a significant rise in urban coverage with an accuracy rate of 41.14%. Therefore, this study will help us to understand the present and future urban land dynamics along with the trend of temporal and spatial LULC changes that assist planners, policymakers, and stakeholders in sustainable urban planning techniques and urban land management.

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A new two-parameter family of discrete distributions

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Heliyon 2025年第3期11卷 e41459页

作者： Haddari, Allaeddine Zeghdoudi, Halim Pakyari, Reza Mathematics Department Faculty of Mathematics and Computer Science Batna 2 University Batna Algeria LaPS Laboratory Badji Mokhtar–Annaba University Annaba 23000 Algeria Statistics Program Department of Mathematics and Statistics College of Arts and Sciences Qatar University Doha 2713 Qatar

This paper introduces a new family of discrete distributions with two shape parameters, termed the Generalized Two-Parameter Discrete Distribution (GTPDD). The raw and central moments are derived from a general expression for its rth factorial moments. Additionally, the paper provides expressions for the moment generating function, coefficient of variation, skewness, kurtosis, index of dispersion and the hazard function. Parameter estimation is addressed using the maximum likelihood estimation method, and the uniqueness of the maximum likelihood estimators is also verified. The applicability of the proposed distribution is illustrated through the modeling of two real data sets, one from engineering and the other from survival analysis. © 2024

关键词： Maximum likelihood estimation Moments Monte Carlo simulation Poisson distribution Poisson-Lindley distribution

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Deformation of the Heisenberg-Weyl algebra and the Lie superalgebra osp (1|2): Exact solution for the quantum harmonic oscillator with a position-dependent mass

arXiv

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arXiv 2025年

作者： Jafarov, E.I. Nagiyev, S.M. Van der Jeugt, J. Institute of Physics Ministry of Science and Education Javid av. 131 BakuAZ1143 Azerbaijan Department of Applied Mathematics Computer Science and Statistics Ghent University Krijgslaan 281-S9 Gent9000 Belgium

We propose a new deformation of the quantum harmonic oscillator Heisenberg-Weyl algebra with a parameter a > −1. This parameter is introduced through the replacement of the homogeneous mass m0 in the definition of the momentum operator pˆx as well as in the creation-annihilation operators â± with a mass varying with position x. The realization of such a deformation is shown through the exact solution of the corresponding Schrödinger equation for the non-relativistic quantum harmonic oscillator within the canonical approach. The obtained analytical expression of the energy spectrum consists of an infinite number of equidistant levels, whereas the wavefunctions of the stationary states of the problem under construction are expressed through the Hermite polynomials. Then, the Heisenberg-Weyl algebra deformation is generalized to the case of the Lie superalgebra osp (1|2). It is shown that the realization of such a generalized superalgebra can be performed for the parabose quantum harmonic oscillator problem, the mass of which possesses a behavior completely overlapping with the position-dependent mass of the canonically deformed harmonic oscillator problem. This problem is solved exactly for both even and odd stationary states. It is shown that the energy spectrum of the deformed parabose oscillator is still equidistant, however, both even and odd state wavefunctions are now expressed through the Laguerre polynomials. Some basic limit relations recovering the canonical harmonic oscillator with constant mass are also discussed *** Codes 17B81, 81Q37, 33C45 17B81 © 2025, CC BY.

关键词： Schrodinger equation

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Locating Domination Set in Some Subclasses of B_1-Vpg Graphs and B_1-Epg Graphs

SSRN

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SSRN 2025年

作者： Yang, Yu Wang, Cai-Xia Xu, Shou-Jun Gutin, Gregory School of Mathematics and Statistics Gansu Key Laboratory of Applied Mathematics and Complex Systems Lanzhou University Gansu Lanzhou730000 China Department of Computer Science Royal Holloway University of London United Kingdom School of Mathematical Sciences LPMC Nankai University China

A graph G is a B_k-VPG graph if there exists an integer k such that each vertex corresponds to an orthogonal path in the plane with at most k bends. Two vertices $u$ and v in V(G) are adjacent if and only if the corresponding paths intersect.A graph G is said to be a B_k-EPG graph if there exists an integer k such that G has a string representation on a grid where each vertex corresponds to an orthogonal path (string) with at most $k$ bends. Two vertices u and v in V(G) are adjacent if and only if the corresponding paths share at least one grid *** consider the problems of finding optimal locating dominating sets, open locating dominating sets, and identifying codes of B_{k}-VPG (resp., B_{k}-EPG) graphs. We prove that the decision problems associated with these three notions are NP-complete in grid graphs (a subclass of unit B_{0}-VPG graphs). Secondly, we give an O(k^{2})-approximation algorithm for the dominating set problem on unit B_{k}-VPG graphs, improving the previous O(k^{4})-approximation algorithm of Chakraborty et al. \cite{dsj22}. Moreover, we show that the decision problem of locating dominating set is NP-complete on a subclass of B_{1}-EPG graphs, and we also show that the minimum locating dominating set problem is APX-hard on B_{1}-EPG graphs, ruling out the possibility of a PTAS unless P=***, we give a linear-time labeling algorithm for finding optimal locating dominating sets on the cactus graphs, which are a subclass of B_{1}-EPG graphs. © 2025, The Authors. All rights reserved.

关键词： Approximation algorithms

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Implicit Neural Representations for Registration of Left Ventricle Myocardium During a Cardiac Cycle 15th

Implicit Neural Representations for Registration of Left V...

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15th International Workshop on Statistical Atlases and Computational Models of the Heart, STACOM 2024, Held in Conjunction with MICCAI 2024

作者： Lowes, Mathias Micheelsen Pedersen, Jonas Jalili Hansen, Bjørn S. Kofoed, Klaus Fuglsang Sermesant, Maxime Paulsen, Rasmus R. Department of Applied Mathematics and Computer Science Technical University of Denmark Kongens Lyngby Denmark The Heart Center Rigshospitalet University of Copenhagen Copenhagen Denmark Inria Université Côte d’Aur Nice France

ISBN: (纸本)9783031877551

Understanding the movement of the left ventricle myocardium (LVmyo) during the cardiac cycle is essential for assessing cardiac function. One way to model this movement is through a series of deformable image registrations (DIRs) of the LVmyo. Traditional deep learning methods for DIRs, such as those based on convolutional neural networks, often require substantial memory and computational resources. In contrast, implicit neural representations (INRs) offer an efficient approach by operating on any number of continuous points. This study extends the use of INRs for DIR to cardiac computed tomography (CT), focusing on LVmyo registration. To enhance the precision of the registration around the LVmyo, we incorporate the signed distance field of the LVmyo with the Hounsfield Unit values from the CT frames. This guides the registration of the LVmyo, while keeping the tissue information from the CT frames. Our framework demonstrates high registration accuracy and provides a robust method for temporal registration that facilitates further analysis of LVmyo motion. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.

关键词： Convolutional neural networks

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