Search Results - Numerical Algorithms and Problems General Terms

Memory based hybrid crow search algorithm for solving numerical and constrained global optimization problems by Braik, Malik, Al-Zoubi, Hussein, Ryalat, Mohammad, Sheta, Alaa, Alzubi, Omar

“… This algorithm lacks a good representation of its individuals’ memory, and as with many other meta-heuristics it faces a problem in efficiently balancing exploration and exploitation…”
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Mirror Prox algorithm for multi-term composite minimization and semi-separable problems by He, Niao, Juditsky, Anatoli, Nemirovski, Arkadi

“…In the paper, we develop a composite version of Mirror Prox algorithm for solving convex…”
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Combination of the variational iteration method and numerical algorithms for nonlinear problems by Wang, Xuechuan, Xu, Qiuyi, Atluri, Satya N

“… polynomials and collocation method. The resulting numerical algorithm is very concise and easy to use, only involving highly sparse matrix operations of addition and multiplication, and no inversion of the Jacobian in nonlinear problems…”
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A general class of Lagrangian smoothed particle hydrodynamics methods and implications for fluid mixing problems by Hopkins, Philip F.

“… Most have involved changes to the algorithm which either introduces artificial correction terms or violates what is arguably the greatest advantage of SPH over other methods…”
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The Novel Analytical–Numerical Method for Multi-Dimensional Multi-Term Time-Fractional Equations with General Boundary Conditions by Lin, Ji, Reutskiy, Sergiy, Zhang, Yuhui, Sun, Yu, Lu, Jun

“…This article presents a simple but effective two-step analytical–numerical algorithm for solving multi-dimensional multi-term time-fractional equations…”
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A numerical algorithm based on modified extended B-spline functions for solving time-fractional diffusion wave equation involving reaction and damping terms by Khalid, Nauman, Abbas, Muhammad, Iqbal, Muhammad Kashif, Baleanu, Dumitru

“…In this study, we have proposed an efficient numerical algorithm based on third degree modified extended B-spline (EBS…”
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Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator by Abu Arqub, Omar, Singh, Jagdev, Maayah, Banan, Alhodaly, Mohammed

“… In this tendency, three computational algorithms and modern trends in terms of analytic and numerical solutions are propagated…”
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Adaptive numerical algorithms in space weather modeling by Tóth, Gábor, van der Holst, Bart, Sokolov, Igor V., De Zeeuw, Darren L., Gombosi, Tamas I., Fang, Fang, Manchester, Ward B., Meng, Xing, Najib, Dalal, Powell, Kenneth G., Stout, Quentin F., Glocer, Alex, Ma, Ying-Juan, Opher, Merav

“… Each component corresponds to a physics domain, and each component is represented by one or more numerical models…”
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Polynomial-time algorithms for multimarginal optimal transport problems with structure by Altschuler, Jason M., Boix-Adserà, Enric

“… ( n , k ) time by characterizing the structure that different algorithms require in terms of simple variants of the dual feasibility oracle…”
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Parallel Algorithms for Fluid-Structure Interaction Problems in Haemodynamics by Crosetto, Paolo, Deparis, Simone, Fourestey, Gilles, Quarteroni, Alfio

“…]). In this work we introduce a class of parallel preconditioners for the FSI problem obtained by exploiting the block-structure of the linear system…”
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Second-Order Three-Scale Asymptotic Analysis and Algorithms for Steklov Eigenvalue Problems in Composite Domain with Hierarchical Cavities by Ye, Shuyu, Ma, Qiang, Tang, Qinglin, Cui, Junzhi, Li, Zhihui

“…A top–down strategy based on the second-order asymptotic method is proposed for solving the Steklov eigenvalue problems on composite perforated materials with three-scale and two-periodic structures…”
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A mixed Harris hawks optimization algorithm based on the pinhole imaging strategy for solving numerical optimization problems by Zeng, Liang, Li, Yanyan, Zhang, Hao, Li, Ming, Wang, Shanshan

“… Due to the shortcomings of this algorithm in solving complex high-dimensional optimization problems with a slow convergence speed, low accuracy, and the high likelihood to fall into local optimum…”
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Numerical approximation of the integral fractional Laplacian by Bonito, Andrea, Lei, Wenyu, Pasciak, Joseph E.

“…We propose a new nonconforming finite element algorithm to approximate the solution to the elliptic problem involving the fractional Laplacian…”
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Unsaturated Algorithms for the Numerical Solution of Elliptic Boundary Value Problems in Smooth Axisymmetric Domains by Belykh, V. N.

“…A fundamentally new, unsaturated , method is constructed for the numerical solution of the Laplace equation in a smooth axisymmetric domain of rather general shape…”
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A class of new three-term descent conjugate gradient algorithms for large-scale unconstrained optimization and applications to image restoration problems by Wang, Xiaoliang, Yuan, Gonglin, Pang, Liping

“… and strong global convergence property. Based on the sufficient descent property and the Dai-Liao conjugate condition, a class of new three-term descent conjugate gradient algorithms are proposed…”
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Comparative Analysis of Numerical-Statistical Projection Algorithms for Solving Transfer Theory Problems by Mikhailov, G. A., Korda, A. S., Rogasinsky, S. V.

“…A comparative analysis of various projection Monte Carlo algorithms as applied to estimating the particle flow through a layer of medium with scattering of the Henyey…”
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A slow-down time-transformed symplectic integrator for solving the few-body problem by Wang, Long, Nitadori, Keigo, Makino, Junichiro

“… The former conserves the Hamiltonian and the angular momentum for a long-term evolution, while the latter significantly reduces the computational cost for a weakly perturbed binary…”
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Alternated and Multi-Step Inertial Algorithm with Three-Term Conjugate Gradient-Like Direction for Split Feasibilities with Applications in Classification Problems and Elastic Net: Alternated and Multi-Step Inertial Algorithm by Ahmad, Abdulwahab, Kumam, Poom, Yahaya, Mahmoud Muhammad, Sitthithakerngkiet, Kanokwan

“…) for split feasibility problems in real Hilbert spaces. The suggested algorithm employs a three-term conjugate gradient-like direction, enabling faster convergence of its iterates toward a point in the solution set of the problem…”
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An efficient numerical algorithm based on the lattice Boltzmann flux solver for trans-media hydrodynamic problems by Lu, Yunpeng, Zhang, Guiyong, Yan, Haoran, Wang, Heng, Yang, Xi, Sun, Tiezhi

“… The instability caused by the interaction of structures with different phases presents significant challenges for numerical algorithms, particularly in three-dimensional simulations, which demand…”
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Algorithms for overcoming the curse of dimensionality for certain Hamilton–Jacobi equations arising in control theory and elsewhere by Darbon, Jérôme, Osher, Stanley

“… (IEEE Trans Autom Control 50(171):947–957, 2005 ) and Mitchell and Tomlin (J Sci Comput 19(1–3):323–346, 2003 ). The cost of these algorithms and, in fact, all PDE numerical approximations is exponential in the space dimension and time…”
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