Monolithic and Decomposition Methods for Optimal Scheduling of Dynamically Adaptive Water Networks by Bradley Jenks, Aly-Joy Ulusoy, Ivan Stoianov

“…We compare the performance of a decomposition method using the alternating direction method of multipliers (ADMM) with a gradient-based sequential convex programming (SCP) monolithic solver. …”
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Domain Decomposition CN-FDTD Method for Analyzing Dispersive Metallic Gratings by Xiao-Kun Wei, Wei Shao, Haiyan Ou

“…In this paper, an efficient domain decomposition (DD) technique is originally introduced into the unconditionally stable Crank–Nicolson finite-difference time-domain (CN-FDTD) method for analyzing the extraordinary optical transmission (EOT) phenomenon of periodic metallic gratings. …”
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Decomposition–Linearization–Sequential Homotopy Methods for Nonlinear Differential/Integral Equations by Chein-Shan Liu, Chung-Lun Kuo, Chih-Wen Chang

“…In the paper, two new analytic methods using the decomposition and linearization technique on nonlinear differential/integral equations are developed, namely, the decomposition–linearization–sequential method (DLSM) and the linearized homotopy perturbation method (LHPM). …”
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An Alternative Framework for Dynamic Mode Decomposition with Control by Gyurhan Nedzhibov

“…The new scheme aims to improve computational efficiency while maintaining the reliability and accuracy of the decomposition. We provide a theoretical proof that the dynamic modes produced by the proposed method are exact eigenvectors of the corresponding Koopman operator. …”
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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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Deep attention model for arrhythmia signal classification based on multi-objective crayfish optimization algorithmic variational mode decomposition by Yihang Zhang, Hang Zhao

“…The ablation study was implemented to verify the effectiveness of the proposed signal decomposition method and deep attention modules. The performance of the model based on MOCOA-VMD achieves the best accuracy of 94.35%, much higher than the model constructed by modules of EEMD, VMD and CNN. …”
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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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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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Modelling and Mechanical Characterization of a Metamaterial Inspired by the Spinodal Decomposition by Barbara Mandolesi, Christian Iandiorio, Valerio G. Belardi, Francesco Vivio

“…The diffusion process of the binary mixture is modeled using the Cahn–Hilliard equation, which is typically approached with a statistical method (superimposition of Gaussian random fields) that is well founded only for its initial stages. …”
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Model of decomposition of the native absorption spectrum of Porphyridium purpureum culture by D. N. Chernyshev, V. S. Klochkova, A. S. Lelekov

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Modeling Electromechanical Overcurrent Relays Using Singular Value Decomposition by Feng-Jih Wu, Chih-Ju Chou, Ying Lu, Jarm-Long Chung

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Effects of termites growth on litter decomposition: a modeling approach by Abdourhimou Amadou Issoufou, Idrissa Soumana, Garba Maman, Souleymane Konate, Ali Mahamane

“…We aimed at building a termite population growth model which could deal with one substrate. Methods Our model divides the decomposition/growth process at the population level. …”
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EEG-based neurodegenerative disease diagnosis: comparative analysis of conventional methods and deep learning models by B. R. Nayana, M. N. Pavithra, S. Chaitra, T. N. Bhuvana Mohini, Thompson Stephan, Vijay Mohan, Neha Agarwal

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Modeling within-host Chikungunya virus dynamics with the immune system using semi-analytical approaches by Morufu Oyedunsi Olayiwola, Akeem Olarewaju Yunus, Adedapo Ismaila, Alaje, Joseph Adeleke Adedeji

“…The Laplace Adomian Decomposition Method (LADM) is used to solve the model. …”
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Federated Bayesian Deep Learning: The Application of Statistical Aggregation Methods to Bayesian Models by John Fischer, Marko Orescanin, Justin Loomis, Patrick Mcclure

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Indoor Wi-Fi fingerprint localization method based on CSI tensor decomposition by Mu ZHOU, Yuexin LONG, Qiaolin PU, Yong WANG, Wei HE

“…Aiming at the problem that as the scale of the fingerprint database increases, the training cost and processing complexity of CSI fingerprints will also greatly increase, an indoor Wi-Fi fingerprint localization method based on CSI tensor decomposition was proposed.Firstly, the tensor decomposition algorithm based on the PARAFAC (parallel factor) analysis model and the ALS (alternate least squares) iterative algorithm were combined to reduce the interference of the environment.Then, the tensor wavelet decomposition algorithm was used to extract the feature and obtain the CSI fingerprint.Finally, a localization model was established based on the PLSR (partial least squares regression) algorithm to realize the location estimation.Experimental results show that the confidence probability of the proposed method is 94.88% within 4 m localization error, which verifies that the proposed method has good localization performance while fitting the relationship between CSI location fingerprints and location coordinates.…”
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RESEARCH OF EXISTENCE OF RELATIONSHIP BETWEEN VARIABLES BY THE METHOD OF CONDITION-CONSEQUENCE DECOMPOSITION OF EVENTS by V. Dron'

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Coefficient Matrix Decomposition Method and BIBO Stabilization of Stochastic Systems with Time Delays by Xia Zhou, Shouming Zhong

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