Space-Time Finite Element Tensor Network Approach for the Time-Dependent Convection–Diffusion–Reaction Equation with Variable Coefficients by Dibyendu Adak, Duc P. Truong, Radoslav Vuchkov, Saibal De, Derek DeSantis, Nathan V. Roberts, Kim Ø. Rasmussen, Boian S. Alexandrov

“…This method utilizes a mixed formulation of the tensor-train (TT) and quantized tensor-train (QTT) (please see Section Tensor-Train Decomposition), designed for the finite element discretization (Q1-FEM) of the time-dependent convection–diffusion–reaction (CDR) equation. …”
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Efficient quantum of mechanical simulation of diffusion-weighted MRI by Ahmed J. Allami, Hany Akeel Al-Hussaniy, Amjad Ibraim Oraibi, Zuhair Abdulkareem Dawah

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Increasing the efficiency of forging tools by thermal diffusion boronizing by Željko Stojanović, Sanja Stanisavljev, Spasoje Erić, Mića Đurđev

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A nonlinear stratification paradigm for squeezing flow between parallel plates incorporating ternary hybrid nanoparticles with Soret-Dufour effects by Chandralekha Mahanta, Ram Prakash Sharma

“…The article explores the effects of highly thermal active three nanoparticles i.e. gold (Au), graphene (Gr), and copper (Cu) in a carboxymethyl cellulose (CMC)-water base fluid and their behaviors of time-dependent flow between two horizontal plates. …”
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A Point Source Identification Problem for a Time Fractional Diffusion Equation by Xiao-Mei Yang, Zhi-Liang Deng

“…An inverse source identification problem for a time fractional diffusion equation is discussed. …”
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Efficient Probabilistic Modelling of Corrosion Initiation in RC Structures Considering Non-Diffusive Barriers and Censored Data by Guilherme Henrique Rossi Vieira, Ritermayer Monteiro Teixeira, Leila Cristina Meneghetti, Sandoval José Rodrigues Júnior

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An Eighth-Order Numerical Method for Spatial Variable-Coefficient Time-Fractional Convection–Diffusion–Reaction Equations by Yuelong Feng, Xindong Zhang, Leilei Wei

“…In this paper, we propose a high-order compact difference scheme for a class of time-fractional convection–diffusion–reaction equations (CDREs) with variable coefficients. …”
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Temperature‐Dependent Dynamics of Charge Carriers in Tellurium Hyperdoped Silicon by KM Ashikur Rahman, Mohd Saif Shaikh, Qianao Yue, S. Senali Dissanayake, Mao Wang, Shengqiang Zhou, Meng‐Ju Sher

“…Abstract Tellurium‐hyperdoped silicon (Si:Te) shows significant promise as an intermediate band material candidate for highly efficient solar cells and photodetectors. Time‐resolved THz spectroscopy (TRTS) is used to study the excited carrier dynamics of Si hyperdoped with 0.5, 1, and 2%. …”
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Iterative Assessment of Edge Criticality: Efficiency Enhancement or Hidden Insufficiency Detection by Vasily Lubashevskiy, Hamza Ejjbiri, Ihor Lubashevsky

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Physics-Informed Neural Network-Based Inverse Framework for Time-Fractional Differential Equations for Rheology by Sukirt Thakur, Harsa Mitra, Arezoo M. Ardekani

“…Inverse problems involving time-fractional differential equations have become increasingly important for modeling systems with memory-dependent dynamics, particularly in biotransport and viscoelastic materials. …”
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An Analytical Formula for the Transition Density of a Conic Combination of Independent Squared Bessel Processes with Time-Dependent Dimensions and Financial Applications by Nopporn Thamrongrat, Chhaunny Chhum, Sanae Rujivan, Boualem Djehiche

“…These results also yield new analytical formulas for the TPDF and conditional moments of both squared Bessel processes and Bessel processes with time-dependent dimensions. The proposed formulas provide a unified analytical framework for modeling and computation involving a broad class of time-inhomogeneous diffusion processes. …”
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Harmonic Path Integral Diffusion by Hamidreza Behjoo, Michael Chertkov

“…Harmonic Path Integral Diffusion (H-PID) introduces a novel approach to sampling from complex, continuous probability distributions by creating a time-dependent “bridge” from an initial point to the target distribution. …”
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Central composite design in predicting heat transfer rate on the time-dependent flow of Williamson nanofluid with chemical reaction: A response surface methodology by B.C. Rout, Subhajit Panda, S.R. Mishra, Rupa Baithalu

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A Review of Marine Dual-Fuel Engine New Combustion Technology: Turbulent Jet-Controlled Premixed-Diffusion Multi-Mode Combustion by Jianlin Cao, Zebang Liu, Hao Shi, Dongsheng Dong, Shuping Kang, Lingxu Bu

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Multi-scale adversarial diffusion network for image super-resolution by Yanli Shi, Xianhe Zhang, Yi Jia, Jinxing Zhao

“…A time-dependent discriminator is introduced to model complex multimodal distributions, significantly improving the efficiency of single-step sampling. …”
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Hybrid deep learning framework based on EfficientViT for classification of gastrointestinal diseases by Vishesh Tanwar, Bhisham Sharma, Dhirendra Prasad Yadav, Abolfazl Mehbodniya

“…Traditional methods like endoscopy take time and depend majorly on the judgment of the physician. …”
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ProT-GFDM: A generative fractional diffusion model for protein generation by Xiao Liang, Wentao Ma, Eric Paquet, Herna Viktor, Wojtek Michalowski

“…This approach builds on the continuous-time score-based generative diffusion modeling paradigm, where data are progressively transformed into noise via a stochastic differential equation and reversed to generate structured samples. …”
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A novel explicit scheme for stochastic diffusive SIS models with treatment effects by Muhammad Shoaib Arif

“…The scheme is designed as an explicit two-stage method, where only the time-dependent terms are discretized, ensuring computational efficiency. …”
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Vacancies in sulfides facilitate fluid-induced solid-state diffusion and critical metals accumulation by Zheng-Jie Qiu, Yanlu Xing, Joël Brugger, Barbara Etschmann, Zsanett Pintér, Denis Fougerouse, Jing Xu, Zhiyang Yu, Guang-Jun Guo, Hong-Rui Fan

“…Here, we analyzed the distribution of cobalt (Co) in natural pyrite from a Cu-Co ore deposit and found that metals distribution is best described by steady-state diffusion with constant flux and concentration-dependent diffusivities, rather than transient-state diffusion with time-evolving concentrations. …”
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Thickness-dependent Electrochromic Properties of Amorphous Tungsten Trioxide Thin Films by K.J. Patel, G.G. Bhatt, S.S. Patel, R.R. Desai, J.R. Ray, C.J. Panchal, Priya Suryavanshi, V.A. Kheraj, A.S. Opanasyuk

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