SIP-IFVM: A Time-evolving Coronal Model with an Extended Magnetic Field Decomposition Strategy by Haopeng Wang, Liping Yang, Stefaan Poedts, Andrea Lani, Yuhao Zhou, Yuhang Gao, Luis Linan, Jiakun Lv, Tinatin Baratashvili, Jinhan Guo, Rong Lin, Zhan Su, Caixia Li, Man Zhang, Wenwen Wei, Yun Yang, Yucong Li, Xinyi Ma, Edin Husidic, Hyun-Jin Jeong, Mahdi Najafi-Ziyazi, Juan Wang, Brigitte Schmieder

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Identification of Dielectric Response Parameters of Pumped Storage Generator-Motor Stator Winding Insulation Based on Sparsity-Enhanced Dynamic Decomposition of Depolarization Curr... by Guangya Zhu, Shiyu Ma, Shuai Yang, Yue Zhang, Bingyan Wang, Kai Zhou

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Koopman-Based Model Predictive Control of Functional Electrical Stimulation for Ankle Dorsiflexion and Plantarflexion Assistance by Mayank Singh, Noor Hakam, Trisha M. Kesar, Nitin Sharma

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A voxel-based approach for simulating microbial decomposition in soil: Comparison with LBM and improvement of morphological models. by Mouad Klai, Olivier Monga, Mohamed Soufiane Jouini, Valérie Pot

“…Within this context, computational costs and storage requirements constitute critical factors for running simulations on large datasets over extended periods. In this research, we represent the pore space by a graph of voxels (Voxel Graph-Based Approach, VGA) and model transport in fully saturated conditions (two-phase system) using Fick's law and coupled diffusion with biodegradation processes to simulate microbial decomposition in soil. …”
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Asymptotically stable data-driven koopman operator approximation with inputs using total extended DMD by Louis Lortie, James Richard Forbes

“…The performance of the proposed method is then compared to the well-known extended dynamic mode decomposition (DMD) method and to the newly introduced forward–backward extended DMD method using a simulated Duffing oscillator dataset and experimental soft robot arm dataset.…”
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Recursive Forward-Backward EDMD: Guaranteed Algebraic Search for Koopman Invariant Subspaces by Masih Haseli, Jorge Cortes

“…This approximation is generally done by orthogonally projecting on the subspace. Extended Dynamic Mode Decomposition (EDMD) is a popular, special case of this projection procedure in a data-driven setting. …”
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Long-time dynamics of a random higher-order Kirchhoff model with variable coefficient rotational inertia by Penghui Lv, Yuxiao Cun, Guoguang Lin

“…The equation is solved using the Galerkin method, and a stochastic dynamical system is established on this basis. Uniform estimation demonstrates a family of Dk−absorbing sets in the stochastic dynamical system Φk, and the asymptotic compactness of Φk is proved via decomposition. …”
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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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Fast dynamical simulation combining harmonic-modal hybrid formulations with space separated representations by Claudia Germoso, Sebastian Rodriguez, Angelo Pasquale, Francisco Chinesta

“…This was achieved through the offline construction of a parametric dynamic response solution using PGD-based model order reduction techniques.Building upon these advancements, this paper extends the use of harmonic-modal hybrid formulations to dynamical problems in degenerated domains. …”
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Enhanced bearing health indicator extraction using slope adaptive signal decomposition for predictive maintenance by Dev Bhanushali, Pooja Kamat, Harsh Dhiman

“…This study introduces the Slope Adaptive Signal Decomposition (SASD) algorithm, a novel method for extracting enhanced intrinsic machine health indicators from vibration data. …”
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A Data-Driven Observer for Wind Farm Power Gain Potential: A Sparse Koopman Operator Approach by Yue Chen, Bingchen Wang, Kaiyue Zeng, Lifu Ding, Yingming Lin, Ying Chen, Qiuyu Lu

“…The approach is rooted in Koopman operator theory, which allows a linear representation of nonlinear dynamics. Specifically, a model is developed using an Input–Output Extended Dynamic Mode Decomposition framework combined with Sparse Identification (IOEDMDSINDy). …”
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Impact of temperature and flow rate on oxygen dynamics and water quality in major Turkish rivers by Veysel Süleyman Yavuz

“…Abstract This study investigates the effects of temperature and flow variations on dissolved oxygen and biochemical oxygen demand across four major Turkish rivers: Kızılırmak, Sakarya, Seyhan, and Yeşilırmak. An Extended Streeter-Phelps Model, incorporating temperature-dependent deoxygenation and flow-sensitive reoxygenation rates, was employed to simulate oxygen dynamics under diverse environmental condition. …”
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Optimal Coverage Path Planning for Unmanned Surface Vehicles Using Flexible Formation Tracking Control by Minsung Park, Bo Woo Nam

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Qualitative results and numerical approximations of the $ (k, \psi) $-Caputo proportional fractional differential equations and applications to blood alcohol levels model by Weerawat Sudsutad, Chatthai Thaiprayoon, Aphirak Aphithana, Jutarat Kongson, Weerapan Sae-dan

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Key Nodes Identification Method in Scale-Free Network Based on Structural Holes by Weiyan Liu

“…It introduces two innovations: Dynamic multi-hop bridge detection, extending beyond the 2-hop limitation of E-Burt to quantify long-range bridging influence efficiently; and a weighted fusion model balancing coreness (via MDD) and bridging roles (via structural holes) with linear time complexity.Experiments on synthetic (Barabási-Albert), social (dolphin), infrastructure(Western U.S. power grid), and collaboration (co-authorship) networks demonstrate superiority. …”
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Microbially‐Mediated Soil Carbon‐Nitrogen Dynamics in Response to Future Soil Moisture Change by Wanyu Li, Gangsheng Wang, Zirui Mu, Shanshan Qi, Shuhao Zhou, Daifeng Xiang

“…However, the lagged effects of future change in soil moisture on soil C‐N dynamics remain poorly understood. Here, we employed the Microbial‐ENzyme Decomposition model to simulate the long‐term impacts of future soil moisture variation on soil C‐N dynamics using the standardized soil moisture index (SSI) across four Shared Socioeconomic Pathways (SSPs). …”
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Data-Driven Identification of Gas Turbine Engine Dynamics via Koopman Operator Genetic Algorithm by David Grasev

“…Linear parameter-varying and bilinear Koopman models were considered. Extended dynamic mode decomposition was employed to obtain a finite-dimensional approximation of the operator. …”
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Multifractal Carbon Market Price Forecasting with Memory-Guided Adversarial Network by Na Li, Mingzhu Tang, Jingwen Deng, Liran Wei, Xinpeng Zhou

“…A “decomposition–prediction–correction” residual compensation system further decomposes base model errors via wavelet packet decomposition (WPD), with ARIMA-driven dynamic weighting enabling bias correction. …”
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Extreme Short-Term Prediction of Unmanned Surface Vessel Nonlinear Motion Under Waves by Yiwen Wang, Jian Li, Shan Wang, Hantao Zhang, Long Yang, Weiguo Wu

“…With a PAT of 5.6 s, the accuracy gains increase to 32.9% for Case I and 94.6% for Case II, demonstrating the model’s robustness in extended prediction scenarios.…”
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Dislocation-precipitate interaction and β'' deformation in Al–Mg–Si alloys: Ex-situ TEM stretching and molecular dynamics simulations by Hong Mao, Qingtao Liang, Zheng Deng, Mingjun Yang, Xiaoyu Zheng, Jiaming Liu, Xiaohong Zhang, Hongzhi Zhou, Min Hu, Yong Du

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