A Closed-Form Solution to Planar Feature-Based Registration of LiDAR Point Clouds by Yongbo Wang, Nanshan Zheng, Zhengfu Bian

“…With the real data, the calculated registration results were consistent with the results calculated by iterative methods. Conclusions can be drawn from the two experiments: (1) The proposed solution does not require any initial estimates of the unknown parameters in advance, which assures the stability and robustness of the solution; (2) Using dual quaternions to represent spatial transformation greatly reduces the additional constraints in the estimation process.…”
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The Wave Energy Converter Design Process: Methods Applied in Industry and Shortcomings of Current Practices by Ali Trueworthy, Bryony DuPont

“…From the review and survey results, we conclude that the most common methods of WEC design are iterative methods in which design parameters are defined, evaluated, and then changed based on evaluation results. …”
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Forchheimer flow to a well-considering time-dependent critical radius by Q. Wang, H. Zhan, Z. Tang

“…In this study, a two-region model considering time-dependent <i>R</i>_CD was established, where the non-Darcian flow was described by the Forchheimer equation. A new iteration method was proposed to estimate <i>R</i>_CD based on the finite-difference method. …”
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State-dependent mortality can enhance behavioral unpredictability by Toshinori Okuyama

“…In the model, the relationship was obtained by using the backward iteration method for each foraging time step. Results State-dependent mortality adds curvature to the relationship between the state and fitness, which makes the effect of behavioral unpredictability on fitness either positive or negative. …”
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Vehicular networking and computer vision-based distance estimation for VANET application using Raspberry Pi 3 by Mulia Pratama, Giambattista Gruosso, Widodo Budi Santoso, Achmad Praptijanto

“…For distance estimation, at least three methods have been compared in this research and found evidence that, for measuring 5 meters, the iterative methods shows 5.80. This method performs well up to 15 meters. …”
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Novel calculation method to predict gas–water two-phase production for the fractured tight-gas horizontal well by Min Lv, Bo Xue, Weipeng Guo, Jing Li, Bin Guan

“…By combining the mass balance equation with the Newton–Raphson iteration method, the nonlinear parameters of the flow model are updated step by step using the average reservoir pressure. …”
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Geoelectric investigation of the aquifer characteristics and groundwater potential in Kwale, Delta State, Nigeria by JO Oseji, EA Atakpo, EC Okolie

“…The data was interpreted using the conventional curve matching and computer iteration method. The results reveal a five layer HKH, KQH and AKH type curves. …”
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The volume integral equation method in magnetostatic problem by Pavel G Akishin, Andrey A Sapozhnikov

“…Reduction of singular integrals to the combination of the regular integrals is proposed with the methods based on the concept of homogeneous functions. Simple iteration methods are used to solve non-linear discretized systems, allowing to avoid reversing large-scale matrixes. …”
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Cutting-Edge Monte Carlo Framework: Novel “Walk on Equations” Algorithm for Linear Algebraic Systems by Venelin Todorov, Ivan Dimov

“…Our findings reveal that the proposed WE Monte Carlo algorithm, especially when combined with sequential MC, converges significantly faster than well-known deterministic iterative methods such as the Jacobi method. This enhanced convergence is more pronounced in larger matrices. …”
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A study of steady creep of layered metal-composite beams of laminated-fibrous structures with account of their weakened resistance to the transverse shift by Andrei P Yankovskii

“…Under the hypotheses of the Timoshenko theory the boundary value problem is formulated for the calculation of the considered beams, which allows taking into account the weakened resistance of the walls of the transverse shifts. The simple iteration method based on the idea of the se-cant modulus method is applied for linearization of the problem. …”
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A Design Methodology for the Seismic Retrofitting of Existing Frame Structures Post-Earthquake Incident Using Nonlinear Control Systems by Assaf Shmerling, Matthias Gerdts

“…The fixed-point iteration method relates to first-order PDE equations; hence, a new state-space formulation for weakened inelastic frame systems is developed and presented using the frame system’s lateral force equilibrium equation. …”
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Active vibration control of a piezoelectric beam using PID controller: Experimental study by Najeeb ur Rahman, M. Naushad Alam

“…Undamped Natural Frequencies are obtained by solving the Eigen Value problem using Subspace Iteration method for cantilever beam. A state space model characterizing the dynamics of the physical system is developed from experimental results using PID approach for the purpose of control law design. …”
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Numerical Study of Non-Darcian Natural Convection Heat Transfer in a Rectangular Enclosure Filled with Porous Medium Saturated with Viscous Fluid by Mahmood H. Ali, Ahmed T. Ahmed, Khalaf I. Hamada

“…The resulting algebraic equations obtained from finite difference discritization of vorticity and temperature equations are solved using (ADI) method which uses Three Diagonal Matrix Algorithm (TDMA) in each direction, while that of the stream function equation solved using successive iteration method. The study was done for the range of enclosure aspect ratio ( 2 H / L 30 ) which is in the tall layers region at medium Rayleigh number (5 2000 m Ra ), Darcy number (Da=10-3, 10-4, 10-5 ), porosity ( =0.35, 0.45, 0.55), particle to fluid thermal conductivity (kS/kf=5.77, 38.5, 1385.5).The results showed that the Nusselt number is direct proportional to medium Rayleigh number and porosity and reversely proportional to Darcy number, ratio of particle to fluid thermal conductivity and enclosure aspect ratio. …”
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NUMERICAL STUDY OF NON-DARCIAN NATURAL CONVECTION HEAT TRANSFER IN A RECTANGULAR ENCLOSURE FILLED WITH POROUS MEDIUM SATURATED WITH VISCOUS FLUID by Mahmood H. Ali, Ahmed T. Ahmed, Khalaf Ibraheem Hamada

“…The resulting algebraic equations obtained from finite difference discritization of vorticity and temperature equations are solved using (ADI) method which uses Three Diagonal Matrix Algorithm (TDMA) in each direction, while that of the stream function equation solved using successive iteration method.</p><p>The study was done for the range of enclosure aspect ratio ( ) which is in the tall layers region at medium Rayleigh number ( ), Darcy number (Da=10^-3, 10^-4, 10^-5 ), porosity (e=0.35, 0.45, 0.55), particle to fluid thermal conductivity (k_S/k_f=5.77, 38.5, 1385.5).The results showed that the Nusselt number is direct proportional to medium Rayleigh number and porosity and reversely proportional to Darcy number, ratio of particle to fluid thermal conductivity and enclosure aspect ratio. …”
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Fractals as Julia Sets of Complex Sine Function via Fixed Point Iterations by Swati Antal, Anita Tomar, Darshana J. Prajapati, Mohammad Sajid

“…We explore some new variants of the Julia set by developing the escape criteria for a function <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo form="prefix">sin</mo><mo>(</mo><msup><mi>z</mi><mi>n</mi></msup><mo>)</mo><mo>+</mo><mi>a</mi><mi>z</mi><mo>+</mo><mi>c</mi></mrow></semantics></math></inline-formula>, where <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>a</mi><mo>,</mo><mi>c</mi><mo>∈</mo><mi mathvariant="double-struck">C</mi></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi><mo>≥</mo><mn>2</mn></mrow></semantics></math></inline-formula>, and <i>z</i> is a complex variable, utilizing four distinct fixed point iterative methods. Furthermore, we examine the impact of parameters on the deviation of dynamics, color, and appearance of fractals. …”
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Development of a Fault Detection Instrument for Fiber Bragg Grating Sensing System on Airplane by Cuicui Du, Deren Kong, Chundong Xu

“…The aggregation center value of the above feature values is obtained through the loop iteration method. Furthermore, the separation degrees of features are calculated and then form the synthetical anomaly index so as to make an effective diagnosis of the state of the FBG sensor. …”
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OPTIMIZATION OF NONLINEAR STOCHASTIC SYSTEMS IN THE SPECTRAL CHARACTERISTICS OF CONTROLS by K. A. Rybakov

“…This nonlinear equations system solving method does not depend on the chosen basis, it is solved either with iterative methods or with reducing it to the equivalent method of unconditional optimization with the following usage of zero-order method, including metaheuristic methods global extremum search. …”
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Addressing gaps in physician knowledge regarding transgender health and healthcare through medical education by Deborah McPhail, Marina Rountree-James, Ian Whetter

“…Data were transcribed and analyzed with NVivo qualitative data software using iterative methods. Results: An overwhelming finding of this study was a lack of physician knowledge, as reported both by trans people and by physicians, that resulted in a denial of trans-specific care and also impacted general care. …”
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Iterated pressure-correction projection methods for the unsteady incompressible Navier–Stokes equations by Aoussou, Jean, Lin, Jing, Lermusiaux, Pierre FJ

“…Iterated pressure-correction projection schemes for the unsteady incompressible Navier–Stokes equations are developed, analyzed and exemplified, in relation to preconditioned iterative methods and the pressure-Schur complement equation. …”
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Iterated pressure-correction projection methods for the unsteady incompressible Navier–Stokes equations by Aoussou, Jean, Lin, Jing, Lermusiaux, Pierre

“…Iterated pressure-correction projection schemes for the unsteady incompressible Navier–Stokes equations are developed, analyzed and exemplified, in relation to preconditioned iterative methods and the pressure-Schur complement equation. …”
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