Probabilistic oil price forecasting with a variational mode decomposition-gated recurrent unit model incorporating pinball loss by Zhesen Cui, Tian Li, Zhe Ding, Xi'an Li, Jinran Wu

“…Thus far, we introduced a novel hybrid model to forecast future crude oil prices. Our approach leverages the variational mode decomposition (VMD) to simplify the complexity of the original time series, yielding a set of subseries. …”
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Adomian Decomposition Method Combined with Padé Approximation and Laplace Transform for Solving a Model of HIV Infection of CD4+T Cells by Fang Chen, Qing-Quan Liu

“…The classical Adomian decomposition method (ADM) is implemented to solve a model of HIV infection of CD4+T cells. …”
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Accelerated Restricted Additive Schwarz method for asynchronous processing by A. Ben bouzid, Y. Khali, S. Khallouq, N. Nagid

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Multi-Scale Multi-Domain Hybrid Finite Element Modeling of Light Propagation by Jingwei Wang, Zhanwen Wang, Lida Liu, Yuntian Chen

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Metasurface-Refractive Hybrid Lens Modeling with Vector Field Physical Optics by Ko-Han Shih, C. Kyle Renshaw

“…At the center of the proposed framework is the Gaussian decomposition method for modeling beam propagation through refractive optics. …”
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Comparison of the Atmospheric 200 hPa Jet’s Analyses between Proper Orthogonal Decomposition and Advanced Dynamic Mode Decomposition Method by Mei Gao, Xiao-Qun Cao, Bai-Nian Liu, Zi-Hang Han, Shi-Cheng Hou, Guo-Gui Yang

“…The dynamic mode decomposition method (DMD) is an effective technique to extract dynamic information from flow fields that is generated from direct experiment measurements or numerical simulation and has been broadly employed to study the dynamics of the flow, to achieve a reduced-order model (ROM) of the complex high dimensional flow field, and even to predict the evolution of the flow in a short time in the future. …”
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On the strain energy decomposition in phase field brittle fracture: established models and novel cleavage plane-based techniques by Nour Habib, Saber El Arem, Amine Ammar

“…Central to our discussion is an in-depth analysis of strain energy decomposition methods integral to phase field models. …”
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Variant Design of Modular Products Using Functional Modelling and Multi-Criteria Evaluation Method by Mirko Pastović, Mirko Karakašić, Željko Ivandić, Ivan Grgić

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Research on optimal selection of runoff prediction models based on coupled machine learning methods by Xing Wei, Mengen Chen, Yulin Zhou, Jianhua Zou, Libo Ran, Ruibo Shi

“…The study first selects artificial neural network (ANN) and support vector machine (SVM) as the base models. Then, it evaluates and selects from three time-series decomposition methods. …”
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Flowtigs: Safety in flow decompositions for assembly graphs by Francisco Sena, Eliel Ingervo, Shahbaz Khan, Andrey Prjibelski, Sebastian Schmidt, Alexandru Tomescu

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Evolution of CFD numerical methods and physical models towards a full discrete approach by Caltagirone, Jean-Paul

“…The physical models and numerical methodologies of Computational Fluid Dynamics (CFD) are historically linked to the concept of continuous medium and to analysis where continuity, derivation and integration are defined as limits at a point. …”
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Chaos in Fractional-Order Glucose–Insulin Models with Variable Derivatives: Insights from the Laplace–Adomian Decomposition Method and Generalized Euler Techniques by Sayed Saber, Emad Solouma, Rasmiyah A. Alharb, Ahmad Alalyani

“…Employing the Laplace–Adomian Decomposition Method (LADM) and the Generalized Euler Method (GEM), the research models glucose–insulin interactions with time-varying fractional orders to simulate long-term physiological processes. …”
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Modeling and numerical simulation of Maxwell nanofluid flow with heat generation and convective heating: a combined Adomian decomposition method and Mohand transform by M. M. Khader, M. Adel, Mohammed Messaoudi

“…The study closely examines the effects of heat source terms and viscous forces on the development of the thermal boundary layer (BL) and how convective boundary conditions contribute to increased heat and mass transfer. The modified decomposition method (MDM) combines the Mohand transform and Adomian decomposition method (ADM) to solve complex equations numerically, yielding a convergent series solution. …”
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Approximate Solution of the Fractional Order Sterile Insect Technology Model via the Laplace–Adomian Decomposition Method for the Spread of Zika Virus Disease by William Atokolo, Remigius Okeke Aja, Stephen Ekwueme Aniaku, Ifeanyi Sunday Onah, Godwin C. E. Mbah

“…We employed the use Laplace–Adomian decomposition method (LADM) to determine an analytical (approximate) solution of the model. …”
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Approximate Analytic Solutions for the Two-Phase Stefan Problem Using the Adomian Decomposition Method by Xiao-Ying Qin, Yue-Xing Duan, Mao-Ren Yin

“…An Adomian decomposition method (ADM) is applied to solve a two-phase Stefan problem that describes the pure metal solidification process. …”
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Research on Feature Extraction Method of Engine Misfire Fault Based on Signal Sparse Decomposition by Canyi Du, Fei Jiang, Kang Ding, Feng Li, Feifei Yu

“…To address these problems, this paper combines the priority of signal sparse decomposition and engine finite element model to research a novel feature extraction method for engine misfire diagnosis. …”
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Analysis of Aerodynamic Characteristics of Rotating Detonation Turbine Based on Proper Orthogonal Decomposition Method by Meiting Ling, Ting Zhao, Wenguo Luo, Jianfeng Zhu, Yancheng You

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Gaussian decomposition method for full waveform data of LiDAR base on neural network by Jie Liu, Xinjie Zhang, Jing Lv, Xinyu Li, Libin Du

“…This paper introduces a method for Gaussian decomposition of full waveform data using a convolutional neural network. …”
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Modeling tuberculosis transmission in environmental ecology incorporating vaccination and treatment effects via a fractional-order approach and the Laplace–Adomian decomposition method by Morufu Oyedunsi OLAYIWOLA, Taye Azeez IYANDA, Adedapo Ismaila ALAJE, Akeem Olarewaju YUNUS

“…The memory effects are taken using fractional calculus and solutions obtained using La place-Adomian Decomposition Method (LADM) using semi-analytical solutions formula.The model emphasizes how human ecology reservoirs ensure transmissibility through simulating human ecology interactions with the environment. …”
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THE DEGENERATE STATE RECOGNITION METHOD OF ROLLING BEARING BASED ON LCD AND GMM-VPMCD HYBRID MODEL by LIU Jibiao, CHENG Junsheng, LIU Yanfei

“…In this paper,LCD,VPMCD and Gaussain mixture model（ GMM） are combined. Furthermore,the degenerate state recognition method of rolling bearings based on LCD and GMM-VPMCD hybrid model is proposed. …”
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