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Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions by Halko, N., Martinsson, P. G., Tropp, J. A.

“…Low-rank matrix approximations, such as the truncated singular value decomposition and the rank-revealing QR decomposition, play a central role in data analysis and scientific computing…”
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An attractive numerical algorithm for solving nonlinear Caputo–Fabrizio fractional Abel differential equation in a Hilbert space by Al-Smadi, Mohammed, Djeddi, Nadir, Momani, Shaher, Al-Omari, Shrideh, Araci, Serkan

“…Our aim in this paper is presenting an attractive numerical approach giving an accurate solution to the nonlinear fractional Abel differential equation based on a reproducing kernel algorithm…”
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Efficient Quantum Algorithms for Simulating Sparse Hamiltonians by Berry, Dominic W., Ahokas, Graeme, Cleve, Richard, Sanders, Barry C.

“…We present an efficient quantum algorithm for simulating the evolution of a quantum state for a sparse Hamiltonian H over a given time t in terms of a procedure for computing the matrix entries of H…”
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Population-Based Algorithm Portfolios for Numerical Optimization by Peng, Fei, Tang, Ke, Chen, Guoliang, Yao, Xin

“…In this paper, we consider the scenario that a population-based algorithm is applied to a numerical optimization problem and a solution needs to be presented within a given time budget…”
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Numerical Algorithms for the Forward and Backward Fractional Feynman–Kac Equations by Deng, Weihua, Chen, Minghua, Barkai, Eli

“… ), this paper focuses on providing algorithms for numerically solving the forward and backward fractional Feynman–Kac equations…”
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Parallel domain discretization algorithm for RBF-FD and other meshless numerical methods for solving PDEs by Depolli, Matjaž, Slak, Jure, Kosec, Gregor

“… In this paper, we present a novel parallel dimension-independent node positioning algorithm that is capable of generating nodes with variable density, suitable for meshless numerical analysis…”
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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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Hybridizing cuckoo search algorithm with bat algorithm for global numerical optimization by Shehab, Mohammad, Khader, Ahamad Tajudin, Laouchedi, Makhlouf, Alomari, Osama Ahmad

“…) to solve numerical optimization problems. The proposed algorithm, called CSBA, begins by establishing the population of host nests in standard CSA and then obtains a solution through particular…”
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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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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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Fuzzy clustering with capacity constraints: Algorithm, convergence analysis and numerical experiments by Benatti, Kléber A., Pedroso, Lucas G., Ribeiro, Ademir A.

“… We propose a general formulation of the clustering problem, where each point has an associated weight and the sum of the weights of the points that compose each group is established a priori…”
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A Robust Gauss‐Newton Algorithm for the Optimization of Hydrological Models: Benchmarking Against Industry‐Standard Algorithms by Qin, Youwei, Kavetski, Dmitri, Kuczera, George

“…‐type methods, in the light of the geometrically problematic features of objective functions, such as multiple optima and general nonsmoothness…”
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A comparison of nine PLS1 algorithms by Andersson, Martin

“…Nine PLS1 algorithms were evaluated, primarily in terms of their numerical stability, and secondarily their speed…”
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Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm by Benamou, Jean-David, Carlier, Guillaume, Nenna, Luca

“…Starting from Brenier’s relaxed formulation of the incompressible Euler equation in terms of geodesics in the group of measure-preserving diffeomorphisms, we propose a numerical method based…”
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Mixed convolutional and long short-term memory network for the detection of lethal ventricular arrhythmia by Picon, Artzai, Irusta, Unai, Álvarez-Gila, Aitor, Aramendi, Elisabete, Alonso-Atienza, Felipe, Figuera, Carlos, Ayala, Unai, Garrote, Estibaliz, Wik, Lars, Kramer-Johansen, Jo, Eftestøl, Trygve

“…) in AED shock decision algorithms. Recently, deep learning architectures based on 1D Convolutional Neural Networks (CNN…”
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A mixture-energy-consistent six-equation two-phase numerical model for fluids with interfaces, cavitation and evaporation waves by Pelanti, Marica, Shyue, Keh-Ming

“… This alternative formulation allows us to easily design a simple numerical method that ensures consistency with mixture total energy conservation at the discrete level and agreement of the relaxed…”
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Physical formulation and numerical algorithm for simulating N immiscible incompressible fluids involving general order parameters by Dong, S.

“…We present a family of physical formulations, and a numerical algorithm, based on a class of general order parameters for simulating the motion of a mixture of N (N⩾2…”
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Efficient high order algorithms for fractional integrals and fractional differential equations by Banjai, L., López-Fernández, M.

“… Several numerical results illustrate the method and we describe how to apply the new algorithm to solve fractional diffusion equations…”
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Efficient Nonlinear Model Predictive Control for Quadrotor Trajectory Tracking: Algorithms and Experiment by Wang, Dong, Pan, Quan, Shi, Yang, Hu, Jinwen, Zhao, Chunhui

“…/generalized minimal residual (<inline-formula> <tex-math notation="LaTeX">{i}\text{C} </tex-math></inline-formula>/GMRES) algorithm. Compared with the standard C/GMRES…”
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On the ergodic convergence rates of a first-order primal–dual algorithm by Chambolle, Antonin, Pock, Thomas

“… The new results can deal with explicit terms and nonlinear proximity operators in spaces with quite general norms…”
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