Unlocking the potential of hydrogen deuterium exchange via an iterative continuous-flow deuteration process by Kevin Tatoueix, Marco Lepron, Cédric Barboux, Marie-Christine Scherrmann, Grégory Pieters, Sophie Feuillastre

“…This report pinpoints an approach to unlock the potential of HDE using the concept of iterative runs in continuous-flow technology (recirculation process). …”
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Approximate Analytical Solution to Nonlinear Delay Differential Equations by Using Sumudu Iterative Method by Asfaw Tsegaye Moltot, Alemayehu Tamirie Deresse

“…This technique is a mixture of the Sumudu transform method and the new iterative method. The Sumudu transform method is used in this approach to solve the equation’s linear portion, and the new iterative method’s successive iterative producers are used to solve the equation’s nonlinear portion. …”
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A New Family of Iterative Methods Based on an Exponential Model for Solving Nonlinear Equations by Tianbao Liu, Hengyan Li, Zaixiang Pang

“…The first family is developed by fitting the model m(x)=epx(Ax2+Bx+C) to the function f(x) and its derivative f′(x), f″(x) at a point xn. In order to remove the second derivative of the first methods, we construct the second family of iterative methods by approximating the equation f(x)=0 around the point (xn,f(xn)) by the quadratic equation. …”
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Corrigendum to “Polychromatic Iterative Statistical Material Image Reconstruction for Photon-Counting Computed Tomography” by Thomas Weidinger, Thorsten M. Buzug, Thomas G. Flohr, Steffen Kappler, Karl Stierstorfer

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A Family of Optimal Eighth Order Iteration Functions for Multiple Roots and Its Dynamics by Saima Akram, Faiza Akram, Moin-ud-Din Junjua, Misbah Arshad, Tariq Afzal

“…In this manuscript, we present a new general family of optimal iterative methods for finding multiple roots of nonlinear equations with known multiplicity using weight functions. …”
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Evaluation of Algebraic Iterative Image Reconstruction Methods for Tetrahedron Beam Computed Tomography Systems by Joshua Kim, Huaiqun Guan, David Gersten, Tiezhi Zhang

“…It has been shown that iterative reconstruction algorithms are better able to model irregular system geometries and that algebraic iterative algorithms in particular have been able to reduce cone artifacts appearing at large cone angles. …”
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An Efficient Laguerre-Based FDTD Iterative Algorithm in 3D Cylindrical Coordinate System by Da-Wei Zhu, Hai-Lin Chen, Zi-Yu Pan, Bo-Ao Xu, Bin Chen

“…Here an efficient Laguerre-based finite-difference time-domain iterative algorithm is proposed. Different from the previously developed iterative procedure used in the efficient FDTD algorithm, a new perturbation term combined with the Gauss–Seidel iterative procedure is introduced to form the new Laguerre-based FDTD algorithm in the 3D cylindrical coordinate system. …”
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Error Estimates from Noise Samples for Iterative Algorithm in Shift-Invariant Signal Spaces by Jun Xian

“…In detail, we obtain the error estimate for reconstructing a signal from its noise samples, noise samples with time jitter, and iterative noise.…”
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How to Make a Bed Bug Interceptor Trap out of Common Household Items by Benjamin A. Hottel, Rebecca W. Baldwin, Roberto M. Pereira, Philip G. Koehler

“…ENY-2029/IN1022: How to Make a Bed Bug Interceptor Trap out of Common Household Items (ufl.edu) …”
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Breaking New Ground in Monocular Depth Estimation with Dynamic Iterative Refinement and Scale Consistency by Akmalbek Abdusalomov, Sabina Umirzakova, Makhkamov Bakhtiyor Shukhratovich, Azamat Kakhorov, Young-Im Cho

“…In this paper, we propose the Dynamic Iterative Monocular Depth Estimation (DI-MDE) framework, which integrates an iterative refinement process with a novel scale-alignment module to address these issues. …”
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A novel investigation of quaternion Julia and Mandelbrot sets using the viscosity iterative approach by Nabaraj Adhikari, Wutiphol Sintunavarat

“…The paper also examines how variations in the parameters of the iterative methods impact the resulting sets’ characteristics, such as shape, size, symmetry, and color.…”
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An Iterative Algorithm for the Generalized Reflexive Solution of the Matrix Equations AXB=E, CXD=F by Deqin Chen, Feng Yin, Guang-Xin Huang

“…An iterative algorithm is constructed to solve the linear matrix equation pair AXB=E, CXD=F over generalized reflexive matrix X. …”
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Data-Driven Iterative Vibration Signal Enhancement Strategy Using Alpha Stable Distribution by Grzegorz Żak, Agnieszka Wyłomańska, Radosław Zimroz

“…Procedure incorporates application of the time-frequency decomposition, α-stable distribution based signal modeling, and stability parameter in the time domain as a stoppage criterion for iterative part of the procedure. An advantage of the proposed algorithm is data-driven, automative detection of the informative frequency band as well as band with high energy due to the properties of the used distribution. …”
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Application of Homotopy Perturbation and Variational Iteration Methods for Fredholm Integrodifferential Equation of Fractional Order by Asma Ali Elbeleze, Adem Kiliçman, Bachok M. Taib

“…This paper presents the application of homotopy perturbation and variational iteration methods as numerical methods for Fredholm integrodifferential equation of fractional order with initial-boundary conditions. …”
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Blind Channel Estimation Based on Multilevel Lloyd-Max Iteration for Nonconstant Modulus Constellations by Xiaotian Li, Jing Lei, Wei Liu, Erbao Li, Yanbin Li

“…Then, we introduce multilevel Lloyd-Max (ML-LM) iteration to solve this problem. Firstly, by dividing NMC into subsets, Lloyd-Max iteration is used in multilevel. …”
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Necessary and Sufficient Condition for Mann Iteration Converges to a Fixed Point of Lipschitzian Mappings by Chang-He Xiang, Jiang-Hua Zhang, Zhe Chen

“…For given x0∈C, suppose that the sequence {xn}⊂C is the Mann iterative sequence defined by xn+1=(1-αn)xn+αnTxn,n≥0, where {αn} is a sequence in [0, 1], ∑n=0∞αn2<∞, ∑n=0∞αn=∞. …”
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The Effect of Initial State Error for Nonlinear Systems with Delay via Iterative Learning Control by Zhang Qunli

“…An iterative learning control problem for nonlinear systems with delays is studied in detail in this paper. …”
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Effective High-Order Iterative Methods via the Asymptotic Form of the Taylor-Lagrange Remainder by Isaac Fried

“…The asymptotic form of the Taylor-Lagrange remainder is used to derive some new, efficient, high-order methods to iteratively locate the root, simple or multiple, of a nonlinear function. …”
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A Methodology for Clustering Items with Seasonal and Non-seasonal Demand Patterns for Inventory Management by Burak Kandemir

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Finite Difference and Iteration Methods for Fractional Hyperbolic Partial Differential Equations with the Neumann Condition by Allaberen Ashyralyev, Fadime Dal

“…A procedure of modified Gauss elimination method is used for solving this difference scheme in the case of one-dimensional fractional hyperbolic partial differential equations. He's variational iteration method is applied. The comparison of these methods is presented.…”
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