Modified Mathematical Model of Tumor Treatment by Radiotherapy by Saad Naji AL- Azzawi, Fatima Ahmed Shihab

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Numerical simulation study on the evolution of wrinkling defects in carbon fiber laminates based on spatial decomposition damage variable method by ZHENG Haocheng, ZHOU Bo, LI Hui, WANG Yajie, SUN Ning, ZHANG Xueyan

“…In order to investigate the compression damage evolution of carbon fiber laminates with wrinkles and accurately predict the mechanical behavior of damage initiation and propagation, a progressive damage finite element model was proposed based on three-dimensional elastic theory by employing a spatial decomposition of damage variables method to establish the damage constitutive relation. …”
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Unsupervised Classification Method for Polarimetric Synthetic Aperture Radar Imagery Based on Yamaguchi Four-Component Decomposition Model by Sheng Sun, Renfeng Liu, Wen Wen

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IMPLEMENTATION OF THE METHOD OF KINEMATIC DECOMPOSITION FOR CALCULATIONS IN NONLINEAR FORMULATION by E. K. Agakhanov, G. M. Kravchenko, L. N. Panasyuk, E. V. Trufanova

“…Method kinematic decomposition in a physically non-linear formulation of solid mechanics computations of the screw piles AKSIS taking into account soil models based on the hypothesis marginal surface of the Mises - Schleicher - Botkin.…”
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A Robust Adaptive Signal Decomposition Method for Enhanced Mode Extraction in Financial Time Series by Laiba Sultan Dar, Muhammad Aamir, Muhammad Hamraz, Nosheen Faiz, Walid Emam, Yusra Tashkandy

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Approximate Analytical Solutions for Mathematical Model of Tumour Invasion and Metastasis Using Modified Adomian Decomposition and Homotopy Perturbation Methods by Norhasimah Mahiddin, S. A. Hashim Ali

“…The modified decomposition method (MDM) and homotopy perturbation method (HPM) are applied to obtain the approximate solution of the nonlinear model of tumour invasion and metastasis. …”
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A Short-Term Electricity Load Complementary Forecasting Method Based on Bi-Level Decomposition and Complexity Analysis by Xun Dou, Yu He

“…Therefore, this paper proposes a complementary forecasting method based on bi-level decomposition and complexity analysis. …”
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Convolutive blind source separation method based on tensor decomposition by Baoze MA, Tianqi ZHANG, Zeliang AN, Pan DENG

“…A convolutive blind source separation algorithm was proposed based on tensor decomposition framework, to address the estimation of mixed filter matrix and the permutation alignment of frequency bin simultaneously.Firstly, the tensor models at all frequency bins were constructed according to the estimated autocorrelation matrix of the observed signals.Secondly, the factor matrix corresponding to each frequency bin was calculated by tensor decomposition technique as the estimated mixed filter matrix for that bin.Finally, a global optimal permutation strategy with power ratio as the permutation alignment measure was adopted to eliminate the permutation ambiguity in all the frequency bins.Experimental results demonstrate that the proposed method achieves better separation performance than other existing algorithms when dealing with convolutive mixed speech under different simulation conditions.…”
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Decomposition and Conceptualization to Support System Dynamics Behavior Modeling by Fiona Tulinayo, Theo van der Weide, Patrick van Bommel

“…In this article, we use the decomposition mechanism to better conceptualize and understand the System Dynamics (SD) model behavior, and show how using a natural language based domain modeling method (Object-Role Modeling, ORM) helps in dealing with complex SD models. …”
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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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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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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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Adomian Decomposition and Variational Iteration Methods in the Context of Partial Differential Equations by Khadeejah James Audu, Lawrence Linus, Yusuph Amuda Yahaya, Sıkırulaı Akande

“…This paper aims to investigate two semianalytical techniques called the Adomian Decomposition Method (ADM) and the Variational Iteration Method (VIM), how these methods can be used in practice, and to make a comparative study of the two methods for solving linear and nonlinear PDEs. …”
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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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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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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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Data-Driven Method of Modeling Sparse Flow Field Data by WANG Hongxin, XU Degang, ZHOU Kaiwen, LI Linwen, WEN Xin

“…In offline modeling, aimed at the high-dimensional challenge of the flow field, the eigenortho decomposition and other methods are used to reduce the dimensionality of the data and extract the spatial mode of the main flow field. …”
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A Tensor-Based Go Decomposition Method for Hyperspectral Anomaly Detection by Meiping Song, Xiao Zhang, Lan Li, Hongju Cao, Haimo Bao

“…Specifically, the TGODEC-AD method combines the typical RX-AD and R-AD with the above decomposition result of the TGODEC model and constructs different modal operator detectors. …”
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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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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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