A posteriori Variational Multiscale Methods for the 1D convection-diffusion equations by Chacón Rebollo, Tomás, Domínguez-Delgado, Antonio, Gómez Marmol, Macarena

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A Convex Variational Interactive Model with Projection Method for Digital Images Partitioning by Abdul Kadir Jumaat, Mohamed Ammareza Mohamed Shariff, Nuruljannah Khairunnizam

“…Moreover, the idea of utilising the projection method is proposed to speed up the partitioning process with improved accuracy. …”
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Variational Homotopy Perturbation Method for Solving Fractional Initial Boundary Value Problems by Yanqin Liu

“…It is observed that the variational iteration method is very efficient and easier to implements; illustrative examples are included to demonstrate the high accuracy and fast convergence of this new algorithm.…”
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Investigation of Performance of Stone Fin Solar Still Absorber by Water Depth Variations by Nova Risdiyanto Ismail*, Dadang Hermawan, Purbo Suwandono, Leo Hutri Wicaksono

“…This study aims to increase the distillate output and Efficiency of Solar still. This study's method compares stone fin solar stills absorbers using water depth variations of 1 cm, 2 cm, and 3 cm with conventional solar stills at a water depth of 1 cm. …”
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Efficient use of optimality conditions in Interval Branch and Bound methods by Mihály Gencsi, Boglárka G.-Tóth

“…The method uses Interval Arithmetic (IA) to handle rounding errors in calculations. …”
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Efficiency of public spending in education, health, and infrastructure: an international benchmarking exercise by Santiago Herrera, Hironobu Isaka, Abdoulaye Ouedraogo

“…This paper gauges public spending efficiency on human and physical capital formation using non-parametric methods. …”
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Investigation of patterns of variation in water quality indicators of the Iset River with the use of neuronet methods by Oleg M. Rosenthal, Vladislav K. Fedotov

Variational Iteration and Linearized Liapunov Methods for Seeking the Analytic Solutions of Nonlinear Boundary Value Problems by Chein-Shan Liu, Botong Li, Chung-Lun Kuo

“…The boundary shape function method (BSFM) and the variational iteration method (VIM) are merged together to seek the analytic solutions of nonlinear boundary value problems. …”
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The Approximate Solution of Fractional Fredholm Integrodifferential Equations by Variational Iteration and Homotopy Perturbation Methods by Abdelouahab Kadem, Adem Kilicman

“…Variational iteration method and homotopy perturbation method are used to solve the fractional Fredholm integrodifferential equations with constant coefficients. …”
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Research on Efficiency Evaluation Method of PV Grid-connected Inverter by WANG Lingling, HU Shuju, MENG Yanfeng, MA Rui, DENG Ya

“…It shows that by means of weighted method, the calculated conversion efficiency can emulate the PV inverters operating efficiency in the field more precisely. …”
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Using Domain Decomposition Method and Non-Matching Grids for Solving Some Variational Inequalities by M.A. Ignatieva, A.V. Lapin

“…Finite difference approximations and iterative solution methods are constructed for a class of variational inequalities with constraints imposed on the solution and a priori known subdomain containing a free boundary. …”
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Solving Multidimensional Partial Differential Equations Using Efficient Quantum Circuits by Manu Chaudhary, Kareem El-Araby, Alvir Nobel, Vinayak Jha, Dylan Kneidel, Ishraq Islam, Manish Singh, Sunday Ogundele, Ben Phillips, Kieran Egan, Sneha Thomas, Devon Bontrager, Serom Kim, Esam El-Araby

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MSVMD-Informer: A Multi-Variate Multi-Scale Method to Wind Power Prediction by Zhijian Liu, Jikai Chen, Hang Dong, Zizhuo Wang

“…Wind power prediction plays a crucial role in enhancing power grid stability and wind energy utilization efficiency. Existing prediction methods demonstrate insufficient integration of multi-variate features, such as wind speed, temperature, and humidity, along with inadequate extraction of correlations between variables. …”
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Variational method of numerical solution of the inverse problem of gas lift oil production process by N.M. Temirbekov, A.K. Turarov

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The Strong Convergence of Prediction-Correction and Relaxed Hybrid Steepest-Descent Method for Variational Inequalities by Haiwen Xu

“…We establish the strong convergence of prediction-correction and relaxed hybrid steepest-descent method (PRH method) for variational inequalities under some suitable conditions that simplify the proof. …”
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An Adaptive Robust Event-Triggered Variational Bayesian Filtering Method with Heavy-Tailed Noise by Di Deng, Peng Yi, Junlin Xiong

“…In this paper, an adaptive robust event-triggered variational Bayesian filtering method is designed for heavy-tailed noise with inaccurate nominal covariance matrices. …”
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Efficient Prediction of Shallow-Water Acoustic Transmission Loss Using a Hybrid Variational Autoencoder–Flow Framework by Bolin Su, Haozhong Wang, Xingyu Zhu, Penghua Song, Xiaolei Li

“…Traditional physical modeling methods require repeated calculations for each new scenario in practical waveguide environments, leading to low computational efficiency. …”
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Systems of Approximating Functions when Using Variational Methods for Calculating Thin-Walled Building Structures by Vladimir V. Karpov

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Variations in Gut Microbiome Profiles Based on Different DNA Extraction Methods: A Comparative Study by Yameng Liu, Xianchun Zhong, Yibin Wang, Kanglong Wang, Cuina Li, Xinyu Liang, Suqin Lin, Ru Zhou, Cen Xie

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Energy Characterization Method of Resource-efficient Multiple Voltage Thresholds Sampling by WANG Fei, ZHOU Jiawen, CAI Chao

“…To address this, a resource-efficient multiple voltage thresholds (REMVT) sampling method was proposed. …”