An Advection Scheme using Paired Explicit Runge-Kutta Time Integration for Atmospheric Modeling by Zhaoyang SUN, Chungang CHEN, Xingliang LI, Xueshun SHEN

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Explicit Time Integration Method Based on Uniform Trigonometric B-Spline Function for Transient Heat Conduction Analysis by Zixu Li, Yongyu Hong, Pan Wang, Weibin Wen

“…In this paper, a new explicit time integration method for transient heat conduction analysis is proposed based on the uniform trigonometric B-spline function. …”
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Comparative Analysis of ALE Method Implementation in Time Integration Schemes for Pile Penetration Modeling by Ihab Bendida Bourokba, Abdelmadjid Berga, Patrick Staubach, Nazihe Terfaya

“…Comparative analysis revealed the explicit time integration method as more robust and computationally efficient, particularly for complex soil–pile interactions with higher friction coefficients.…”
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Lightweight Explicit 3D Human Digitization via Normal Integration by Jiaxuan Liu, Jingyi Wu, Ruiyang Jing, Han Yu, Jing Liu, Liang Song

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Explicit solutions of nonlocal reverse-time Hirota-Maxwell-Bloch system by Zh. Myrzakulova, Z. Zakariyeva, K. Suleimenov, U. Uralbekova, K. Yesmakhanova

“…In this paper, we investigate the nonlocal reverse-time Hirota-Maxwell-Bloch system, focusing on its soliton solutions using the Darboux transformation method. …”
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Integrated Optimization of Production Scheduling and Explicit Model Predictive Control for Batch Process Based on SEN Framework by Yue WANG, Xiaohui GUO, Yuting JIN, Xin JIN

“…In the scheduling section, a production scheduling model is established based on the State Equipment Network (SEN) and the unit⁃specific event⁃based continuous time modeling method; the integrated model of scheduling and control belongs to a mixed integer dynamic optimization problem, and solving it requires a large amount of complex computation, in order to alleviate the burden of online computing, Explicit Model Predictive Control (EMPC) is utilized for offline solving; the MPT toolbox is used to solve the dynamic problem of EMPC; introducing binary variables, converting the obtained explicit control solution into explicit linear constraints, and adding them to the common constraint objective in the scheduling model; through case analysis, the optimization results were compared and analyzed with the pure scheduling model, and the economic feasibility of the integrated model is verified.…”
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Modification of ARL for detecting changes on the double EWMA chart in time series data with the autoregressive model by Kotchaporn Karoon, Yupaporn Areepong, Saowanit Sukparungsee

“…The results showed that the explicit formula's use of the ARL outperformed the NIE approach in terms of computation time. …”
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SIMULATION ACCURACY STUDY ON THE STRENGTH TEST OF SEATBELTS ANCHORAGES BASED ON LS-DYNA by ZHENG SongLin, WANG XiaoLong, LI YingJun, AN ChaoQun

“…As to the strength test of seatbelts anchorages which is a quasi-static problem,through comparative analysis of central difference method（ explicit integration） and Newmark method（ implicit integration） in elastodynamics,this paper used explicit solution method in LS-DYNA to compute the seatbelts FE model of domestic minibuses exported to Australia. …”
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Nonlinear evolution of disturbances in higher time-derivative theories by Andreas Fring, Takano Taira, Bethan Turner

“…In the latter case this implies that the solutions exhibit oscillations that spread in time but remain finite. We confirm these analytical predictions by explicitly solving the associated Cauchy problem numerically with multiple initial profiles for various higher time-derivative versions of integrable modified Korteweg-de Vries equations. …”
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Explicit Finite Difference Methods for the Delay Pseudoparabolic Equations by I. Amirali, G. M. Amiraliyev, M. Cakir, E. Cimen

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Distorted time window for sensorimotor integration and preserved time window for sense of agency in patients with post-stroke limb apraxia by Satoshi Nobusako, Satoshi Nobusako, Rintaro Ishibashi, Takaki Maeda, Sotaro Shimada, Shu Morioka, Shu Morioka

“…However, whether these deficits affect explicit sense of agency (SoA) remains unclear. This study investigated the time window for sensorimotor integration and explicit SoA in post-stroke patients with and without apraxia. …”
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Integrating time in definitions of carbon sequestration and greenhouse gas removals and reversals by Carlos Sierra

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On the use of an high order perturbation method for numerical time integration in structural dynamics. by Claude, Bertille, Girault, Grégory, Leblé, Bruno, Cadou, Jean-Marc

“…Numerical results show that asymptotic time expansions is robust, efficient and gives more accurate solutions than the ones obtained with classical time-integration schemes (implicit or explicit), even when the considered meshes are coarse.…”
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Path integral of free fields and the determinant of Laplacian in warped space-time by Soumangsu Chakraborty, Akikazu Hashimoto, Horatiu Nastase

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On a Class of Integrals Involving a Bessel Function Times Gegenbauer Polynomials by Stamatis Koumandos

“…We provide information and explicit formulae for a class of integrals involving Bessel functions and Gegenbauer polynomials. …”
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New Insight of Time-transformed Symplectic Integrator. I. Hybrid Methods for Hierarchical Triples by Long Wang

“…Accurate N -body simulations of multiple systems such as binaries and triples are essential for understanding the formation and evolution of interacting binaries and binary mergers, including gravitational wave sources, blue stragglers, and X-ray binaries. The logarithmic time-transformed explicit symplectic integrator (LogH), also known as algorithmic regularization, is a state-of-the-art method for this purpose. …”
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Integrating Landsat, Sentinel-2 and Sentinel-1 time series for mapping intermediate crops by Kassandra Jensch, Gohar Ghazaryan, Stefan Ernst, Patrick Hostert, Claas Nendel

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Path integral measures and diffeomorphism invariance by Alfio Bonanno, Kevin Falls, Renata Ferrero

“…We demonstrate this explicitly by computing the free scalar field contribution to the divergent part of the gravitational effective action using different measures and a proper-time cutoff. …”
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Spatially Explicit Analysis of Landscape Structures, Urban Growth, and Economic Dynamics in Metropolitan Regions by Ioannis Vardopoulos, Marco Maialetti, Donato Scarpitta, Luca Salvati

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Semi-analytical implicit direct time integration scheme on example of 1-D wave propagation problem by Igor Orynyak, Roman Mazuryk, Volodymyr Tsybulskyi

“…Here on example of 1-D wave propagation problem the original implicit scheme is proposed, which contains the time interval value explicitly in space interpolation function as results of analytical solution of differential equation for considered moment of time. …”
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