Stable Approximations of a Minimal Surface Problem with Variational Inequalities by M. Zuhair Nashed, Otmar Scherzer

“…We establish convergence and stability of approximate regularized solutions which are solutions of a family of variational inequalities. We also prove convergence of an iterative method based on Uzawa's algorithm for implementation of our regularization procedure.…”
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Improving measures of context in process evaluations: development and use of the Context Tracker tool by Joanna Busza, Fortunate Machingura, Cedomir Vuckovic

“…We tracked these over time across study sites using routine programme statistics, observation and qualitative methods. The Context Tracker enables identification and comparison of facilitators and barriers to implementation, variations in engagement with interventions, and how mechanisms of action are (or are not) triggered in different settings. …”
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A Personalized Energy Expenditure Estimation Method Using Modified MET and Heart Rate-Based DQN by Min-Seo Kim, Ju-Hyeon Seong

“…In this paper, we propose Real-Time Energy Expenditure (RTEE), a novel real-time and personalized energy expenditure estimation (EEE) method. The proposed RTEE integrates a Deep Q-Network (DQN)-based activity intensity coefficient inference network with a modified energy consumption prediction algorithm to estimate energy expenditure based on real-time variations in the user’s heart rate measurements. …”
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A New Method to Calculate Induced Current of Thin Wire over Anisotropic Ground under HPM by Le Cao

“…In this paper, the induced current of a thin wire over layered anisotropic half-space under a high-power microwave (HPM) is calculated by using the time-domain integral equation (TDIE) method. The reflection coefficient of a layered anisotropic medium is obtained by the general transmitting matrix (GTM) method combined with Fourier transform. …”
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Variational Approaches for Drug-Disease-Gene Links in Periodontal Inflammation by Pradeep Kumar Yadalam, Prabhu Manickam Natarajan, Musab Hamed Saeed, Carlos M. Ardila

“…Advances in generative AI techniques, such as variational autoencoders (VAEs) and quantum variational classifiers (QVCs), offer promising tools for predicting gene associations between drugs and diseases. …”
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Development and Validation of Bioanalytical LC–MS/MS Method for Pharmacokinetic Assessment of Amoxicillin and Clavulanate in Human Plasma by Sangyoung Lee, Da Hyun Kim, Sabin Shin, Jee Sun Min, Duk Yeon Kim, Seong Jun Jo, Ui Min Jerng, Soo Kyung Bae

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Evaluating the power mean method to determine an equivalent sandgrain roughness parameter over streamwise-heterogeneous roughness by Vidya Vishwanathan, Nicholas Hutchins, Michael P. Schultz

“…The sandgrain roughness computed using these averaging methods, $k_{s_{eq}}$ , is then compared with true parameters, $k_{s_{eff}}$ , estimated from the fully rough asymptote model and a modified momentum integral method that accounts for the streamwise variation of skin friction over the heterogeneous surface. …”
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Acoustic Fault Diagnosis Method for Rotating Machinery Based on Collaborative Perception Information Aggregation Guidance Network by Chaofan Li, Fan Zhang, Qichen Wang, Yufei Han, Tianrui Li, Fei Teng, Cai Yi, Yongmeng Wu

“…Subsequently, the collaborative perception layer integrates local frequency information extraction, multi-receptive field temporal information fusion, and redundancy reduction, thereby capturing the time-frequency variations of acoustic signals under complex operating conditions and enhancing condition awareness. …”
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Parcel Segmentation Method Combined YOLOV5s and Segment Anything Model Using Remote Sensing Image by Xiaoqin Wu, Dacheng Wang, Caihong Ma, Yi Zeng, Yongze Lv, Xianmiao Huang, Jiandong Wang

“…Accurate land parcel segmentation in remote sensing imagery is critical for applications such as land use analysis, agricultural monitoring, and urban planning. However, existing methods often underperform in complex scenes due to small-object segmentation challenges, blurred boundaries, and background interference, often influenced by sensor resolution and atmospheric variation. …”
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A Bearing Fault Diagnosis Method Combining Multi-Source Information and Multi-Domain Information Fusion by Tao Sui, Yixiang Feng, Sitian Sui, Xueran Xie, Hui Li, Xiuzhi Liu

“…In modern industries, bearings are often subjected to challenges from environmental noise and variations in operating conditions during their operation, which affects existing fault diagnosis methods that rely on signals from single types of sensors. …”
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An Optimally Oriented Coherence Attribute Method and Its Application to Faults and Fracture Sets Detection in Carbonate Reservoirs by Shuai Chen, Shengjun Li, Qi Ma, Lu Qin, Sanyi Yuan

“…The method is guided by depositional and tectonic principles, constructing model traces along directions with maximal structural variation to amplify responses at geological boundaries. …”
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Generation Method for HVAC Systems Design Schemes in Office Buildings Based on Deep Graph Generative Models by Hongxin Wang, Ruiying Jin, Peng Xu, Jiefan Gu

“…Accuracy and precision metrics were used to compare the generated designs with automated forward design solutions, assessing the models’ ability to capture both local variations and broader changes in design logic. A graph-neural-network-based evaluation method was employed to measure the models’ capacity to detect changes. …”
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A hybrid data-driven method for voltage state prediction and fault warning of Li-ion batteries by Yufeng Huang, Xuejian Gong, Zhiyu Lin, Lei Xu

“…Considering the temperature factor and voltage variation, our developed method can be effectively applied to battery management system (BMS).…”
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Research on the Preprocessing Method of Laser Ranging Data with Complex Patterns Based on a Novel Spline Function by Yanning Zheng, Xue Dong, Zhipeng Liang, Jian Gao, Yang Liu, Qingli Song, Xingwei Han, He Dong

“…To address this problem, this paper innovatively designs a new type of spline function and accordingly proposes a laser ranging data preprocessing method that can automatically adapt to the trend of data variation. …”
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Development of a Bicycle Road Surface Roughness and Risk Assessment Method Using Smartphone Sensor Technology by Dong-youn Lee, Ho-jun Yoo, Jae-yong Lee, Gyeong-ok Jeong

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Series Solution Method Used to Solve Linear Caputo Fractional Initial Value Problems with Variable Coefficients by Aghalaya S Vatsala, Govinda Pageni

“…However, to use ‘q’, the order of the fractional derivative, as a parameter for our mathematical model, we need to compute the solution of the equation explicitly and/or numerically. The traditional methods, such as the integrating factor or variation of parameters methods used in the integer-order case, cannot be directly applied because the product rule of the integer derivative does not hold for the Caputo fractional derivative. …”
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SFT-GAN: Sparse Fast Transformer Fusion Method Based on GAN for Remote Sensing Spatiotemporal Fusion by Zhaoxu Ma, Wenxing Bao, Wei Feng, Xiaowu Zhang, Xuan Ma, Kewen Qu

“…First, the method introduces a multi-scale feature extraction and fusion architecture to capture temporal variation features and spatial detail features across multiple scales. …”
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Evaluation of the NHS England Low-Calorie Diet implementation pilot: a coproduced mixed-method study by Louisa J Ells, Tamara Brown, Jamie Matu, Ken Clare, Simon Rowlands, Maria Maynard, Karina Kinsella, Kevin Drew, Jordan R Marwood, Pooja Dhir, Tamla S Evans, Maria Bryant, Wendy Burton, Duncan Radley, Jim McKenna, Catherine Homer, Adam Martin, Davide Tebaldi, Tayamika Zabula, Stuart W Flint, Chris Keyworth, Mick Marston, Tanefa Apekey, Janet E Cade, Chirag Bakhai

“…What are the programme delivery costs, and policy implications for wide-spread adoption? Methods A mixed-methods study underpinned by a realist-informed approach was delivered across five work packages, involving: semistructured interviews with service users (n = 67), National Health Service staff (n = 55), service providers (n = 9); 13 service provider focus groups; and service user surveys (n = 719). …”
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Assessment of Agro-Morphological and Yield-Related Traits of Vijay Wheat (Triticum aestivum L.) Variety Under Different Ploughing and Non-Ploughing Techniques by Md. Shamshad Ansari, Manoj Joshi, Binod Yadav, Bishnu Yadav

“…The results revealed significant variations among tillage practices. The Cultivator + Rotavator + Seed sowing method produced the highest grain yield (4.060 t/ha), outperforming other treatments. …”
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Low-carbon optimization scheduling of IES based on enhanced diffusion model for scenario deep generation by Danhao Wang, Daogang Peng, Dongmei Huang, Huirong Zhao, Bogang Qu

“…With the widespread integration of renewable energy sources into IES (Integrated Energy Systems), the uncertainties in renewable energy outputs and the volatility of user loads present new challenges for energy scheduling optimization. …”
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