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  1. 21

    Using Domain Decomposition Method and Non-Matching Grids for Solving Some Variational Inequalities by M.A. Ignatieva, A.V. Lapin

    Published 2015-06-01
    “…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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  2. 22

    An Adaptive Robust Event-Triggered Variational Bayesian Filtering Method with Heavy-Tailed Noise by Di Deng, Peng Yi, Junlin Xiong

    Published 2025-05-01
    “…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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  3. 23

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

    Published 2025-03-01
    “…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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    Evaluation and prediction of coal seam mining mode: Coefficient of Variation-TOPSIS and CNN-NGO methods by Haixiong Li, Fei Wang

    Published 2025-01-01
    “…Selecting the appropriate method for coal seam mining is the foremost task for the safe and efficient production of coal mines. …”
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    Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method by Birol İbiş, Mustafa Bayram

    Published 2014-01-01
    “…This paper aims to obtain the approximate solution of time-fractional advection-dispersion equation (FADE) involving Jumarie’s modification of Riemann-Liouville derivative by the fractional variational iteration method (FVIM). FVIM provides an analytical approximate solution in the form of a convergent series. …”
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  11. 31

    A novel unified variational finite difference (VFD) solution method for optimal control problems by Amir Norouzzadeh, Nader Nariman-zadeh, Reza Ansari

    Published 2025-05-01
    “…To do so, the general form of quadratic performance index function and nonlinear state equations are considered first. Then, the idea of variational differential quadrature method is used to convert the integral/differential equations to the equivalent algebraic form. …”
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  12. 32

    The variation rule of TBM tunneling parameters in deep composite strata and the recognition method of boreability grade by Haibin Wang, Guogang Cui, Zhen Shi, Ling Zhang, Chengdeng Gao, Ziwei Ding

    Published 2025-04-01
    “…The results show that: (1) the change characteristics of five main tunneling parameters in different formations are obtained through data preprocessing, and the change trends of tunneling speed and penetration in different formations are consistent, while the change trends of cutter speed, thrust, and torque are opposite to that of penetration. (2) The main tunneling parameters in different formations are analyzed by numerical statistics, and it is found that all of them are normally distributed, and the 25% and 75% position of data distribution is taken to the values of 25% and 75% of the data distribution are given, and the reasonable regulation range of each parameter is given. (3) The two characteristic parameters of thrust factor and tunneling specific energy are introduced to analyze the tunneling energy efficiency of TBM tunneling in different strata, and the variation of the characteristic parameters in a single stratum is small, and the oscillatory nature of them in composite strata is significantly higher than that of a single stratum by a factor ranging from 1.29 to 3.64. (4) The identifying method of the tunneling grade of a strata has been established based on the indicators of the tunneling speed and the energy consumption of tunneling, and a characteristic parameter is proposed to identify the level of the tunneling performance. …”
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  13. 33

    A Novel Variational Bayesian Method with Unknown Noise for Underwater INS/DVL/USBL Localization by Haoqian Huang, Chenhui Dong, Yutong Zhang, Shuang Zhang

    Published 2025-06-01
    “…Subsequently, the posterior information of the system is jointly calculated by employing the variational Bayesian method. Simulations and real trials illustrate that the proposed IW-VACKF can improve the state estimation precision efficiently in the complex underwater environment.…”
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    A New Modification of the Reconstruction of Variational Iteration Method for Solving Multi-order Fractional Differential Equations by E. Hesameddini, A. Rahimi

    Published 2016-01-01
    “…In this work, the Reconstruction of Variational Iteration Method (RVIM) technique has been successfully used to solve two types of multi-order fractional differential equations, linear and nonlinear. …”
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    A Numerical Method Based on the Parametric Variational Principle for Simulating the Dynamic Behavior of the Pantograph-Catenary System by Dongdong He, Qiang Gao, Wanxie Zhong

    Published 2018-01-01
    “…Based on the finite element method (FEM), the parametric variational principle (PVP) is combined with a numerical time-domain integral method to simulate the dynamic behavior of the pantograph-catenary system. …”
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    Phase and thermal diffusivity variation of saline water diagnosed by visual and temperature method during freezing process by Shih-Chang Huang, Chin-Chi Cheng, Hong-Ping Cheng

    Published 2024-12-01
    “…The location of vial on the shelf affects the stability and efficiency of thermal transmission. Moreover, the concentration of saline water has the relationship with the thermal diffusivity, and ice layer is an indicator of variation of temperature and thermal diffusivity for saline water during freezing process. …”
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