An Alternative Framework for Dynamic Mode Decomposition with Control by Gyurhan Nedzhibov

“…Compared to the traditional formulation, the proposed method restructures the computation by decoupling the influence of the state and control components, allowing for a more modular and interpretable implementation. …”
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A Study on the Coarse-to-Fine Error Decomposition and Compensation Method of Free-Form Surface Machining by Yueping Chen, Junchao Wang, Qingchun Tang, Jie Li

“…The simulation and analysis results of the design show that the method has a more ideal processing error decomposition ability and can decompose the systematic error contained in the processing error in a more complete way. …”
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A heuristic method for multi-block parallel decomposition of a system of partial Boolean functions by Yu. V. Pottosin

“…A heuristic method for multi-block parallel decomposition of a system of partial Boolean functions is described. …”
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Computation of the General Relativistic Perihelion Precession and of Light Deflection via the Laplace-Adomian Decomposition Method by Man Kwong Mak, Chun Sing Leung, Tiberiu Harko

“…We study the equations of motion of the massive and massless particles in the Schwarzschild geometry of general relativity by using the Laplace-Adomian Decomposition Method, which proved to be extremely successful in obtaining series solutions to a wide range of strongly nonlinear differential and integral equations. …”
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Solution of nonlinear fractional partial differential equations by Shehu transform and Adomian decomposition method (STADM) by Amandeep Singh, Sarita Pippal

“…Several well-known nonlinear partial differential equations (NPDEs) of integer order, including the Heat Equation and the Korteweg–de Vries (KDV) Equation, as well as NPDEs of fractional order, including the fractional advection equation (FAE), fractional gas dynamic equation (FGDE), diffusion equation, and fractional Burger equation (FBE), are approximated analytically in this study using the Shehu Transform Adomian Decomposition Method, which is a combination of two methods, namely, Shehu Transform (ST) and Adomian Decomposition Method (ADM). …”
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BS-CP: Efficient streaming Bayesian tensor decomposition method via assumed density filtering. by Jiaqi Liu, Qiwu Wu, Lingzhi Jiang, Renjun Zhan, Xiaochuan Zhao, Husheng Wu, Weicong Tan

“…This evidence proves that our algorithm has better results on large datasets and is more suitable for real-world scenarios. Compared with most other comparison methods, our approach has demonstrated an improvement of over 10% and exhibits superior stability.…”
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Application of the Natural Decomposition Method to Strongly Coupled Partial Differential Equations: The Gray-Scott Model. by Nsingwire, Godwin

“…This study investigated the application of the natural decomposition method for solving the Gray-Scott reaction-diffusion model, which is known for its complex nonlinearities and strong coupling between chemical species. …”
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Extended semilocal convergence for the Newton- Kurchatov method by H.P. Yarmola, I. K. Argyros, S.M. Shakhno

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Solution of Linear Radiative Transfer Equation in Hollow Sphere by Diamond Difference Discrete Ordinates and Decomposition Methods by Marcelo Schramm, Cibele Ladeia, Julio Cesar Fernandes

“… In this article, we present a methodology to solve radiative transfer problems in spherical geometry without other forms of heat exchange. We use a decomposition method based on the Adomian formulations, together with a diamond difference scheme and a trapezoidal rule to approximate the integral part of the solution. …”
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Effect of Human Capital Development on Household Income Growth in Burkina Faso: An Analysis Through a Decomposition Method by Alain Siri, Omer Combary

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An optimised scattering power decomposition method oriented to ship detection in polarimetric synthetic aperture radar imagery by Lu Fang, Wenxing Mu, Ning Wang, Tao Liu

“…Compared to other scattering power decompositions, the optimised decomposition method not only achieves better performance but is more in accordance with the real scattering mechanisms, which is more applicable to ship detection.…”
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Enhancing hydrodynamic efficiency in Autonomous Underwater Vehicles (AUVs) utilizing adjoint method and proper orthogonal decomposition. by Shorob Alam Bhuiyan, Md Jahid Hasan, Md Araful Hoque

“…While there have been notable breakthroughs in applying the adjoint technique to optimize air and land vehicles, there is still a deficiency in optimizing AUVs using the adjoint method. The present research explores how to improve the hydrodynamic efficiency of an AUV using the gradient-based adjoint technique and Proper Orthogonal Decomposition (POD). …”
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A Novel Detrended Fluctuation Analysis Method for Gear Fault Diagnosis Based on Variational Mode Decomposition by Sinian Hu, Han Xiao, Cancan Yi

“…For this reason, a novel signal processing method based on variational mode decomposition (VMD) and detrended fluctuation analysis (DFA) is proposed to diagnose the gear faults of heavy gearbox. …”
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Optimization method of building energy efficiency design based on decomposition multi objective and agent assisted model by Bai Chaoqin, Yang Zhuoyue

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A feature extraction method based on improved resonance sparse decomposition for early faults in rolling bearings by SUN Meng, GAO Bingpeng, CHENG Jing

“…The results of simulation and XJTU-SY bearing full life cycle fault signal test show that the proposed method is more useful in extracting early weak fault characteristics of bearings.…”
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A Novel, Direct Matrix Solver for Supersonic Boundary Element Method Systems by Cory Goates, Douglas Hunsaker

“…A novel direct solution method is developed here based on fast Givens rotations and the QR decomposition. …”
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A Two-Level Parallel Incremental Tensor Tucker Decomposition Method with Multi-Mode Growth (TPITTD-MG) by Yajian Zhou, Zongqian Yue, Zhe Chen

“…With the rapid growth of streaming data, traditional tensor decomposition methods can hardly handle real-time, high-dimensional data of massive amounts in this scenario. …”
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The methodology of teaching of the integration techniques of the rational functions by using partial fraction decomposition method and integration of the trigonometric functions by D. D. Gadjiev

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A Fast Method of Feature Extraction for Lowering Vehicle Pass-By Noise Based on Nonnegative Tucker3 Decomposition by Haijun WANG, Guo CHENG, Guoyong DENG, Xueping LI, Honggeng LI, Yuanyi HUANG

“…In the proposed method, the nonnegative Tucker3 decomposition (NTD) with fast updating algorithm, signed as NTD FUP, can find out the natural frequency of the parts/components from the exhaust system. …”
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A Cooperative Spectrum Sensing Method Based on Empirical Mode Decomposition and Information Geometry in Complex Electromagnetic Environment by Yonghua Wang, Shunchao Zhang, Yongwei Zhang, Pin Wan, Jiangfan Li, Nan Li

“…This paper proposes a cooperative spectrum sensing method based on empirical mode decomposition and information geometry. …”
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