Results 1 to 10 of about 25,793 (141)
NFFT Meets Krylov Methods: Fast Matrix-Vector Products for the Graph Laplacian of Fully Connected Networks [PDF]
Frontiers in Applied Mathematics and Statistics, 2018 The graph Laplacian is a standard tool in data science, machine learning, and image processing. The corresponding matrix inherits the complex structure of the underlying network and is in certain applications densely populated.
Dominik Alfke +3 more
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Cluster Networking and Cooperative Localization Based on Biogeography Optimization and Improved Super-Multidimensional Scaling for Multi-Unmanned Aerial Vehicles [PDF]
SensorsThe cooperative localization of Unmanned Aerial Vehicles (UAVs) has emerged as a pivotal application in Internet of Things (IoT) tasks. However, the frequent exchange of localization data among UAVs leads to significant energy consumption and escalates ...
Shuhao Zhang +4 more
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PLoS ONE, 2023 Highly oscillatory Volterra integral equations are frequently encountered in engineering applications. The Nyström-type method is an important numerical approach for solving such problems.
Qinghua Wu, Mengjun Sun
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A Nyström Method for 2D Linear Fredholm Integral Equations on Curvilinear Domains
Mathematics, 2023 This paper is devoted to the numerical treatment of two-dimensional Fredholm integral equations, defined on general curvilinear domains of the plane. A Nyström method, based on a suitable Gauss-like cubature formula, recently proposed in the literature ...
Anna Lucia Laguardia, Maria Grazia Russo
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Vietnam Journal of Mechanics, 2021 Zhang and Shimizu (1998) proposed a numerical algorithm based on Newmark method to calculate the dynamic response of mechanical systems involving fractional derivatives.
Nguyen Van Khang +2 more
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A More Efficient and Practical Modified Nyström Method
Mathematics, 2023 In this paper, we propose an efficient Nyström method with theoretical and empirical guarantees. In parallel computing environments and for sparse input kernel matrices, our algorithm can have computation efficiency comparable to the conventional Nyström
Wei Zhang +3 more
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Approximating Hamiltonian dynamics with the Nyström method [PDF]
Quantum, 2020 Simulating the time-evolution of quantum mechanical systems is BQP-hard and expected to be one of the foremost applications of quantum computers. We consider classical algorithms for the approximation of Hamiltonian dynamics using subsampling methods ...
Alessandro Rudi +5 more
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HYBRID METHOD OF HIGHER-ORDER MOM AND NYSTRÃM DISRETIZATION PO FOR 3D PEC PROBLEMS [PDF]
Progress In Electromagnetics Research, 2010 This paper presents an e-cient and accurate hybrid approach of method of moments (MoM) and physical optics (PO) for radiation problems such as antennas mounted on a large platform. The new method employs higher-order hierarchical Legendre basis functions in the MoM region and higher-order Nystrom scheme in the PO region.
Ben Lai +3 more
openaire +1 more source
Simulation for non-homogeneous transport equation by Nyström method
Brazilian Journal of Radiation Sciences, 2021 In this work we solve numerically the one-dimensional transport equation with semi-reflective boundary conditions and non-homogeneous domain. The proposed methodology consists of applying the Nyström method in order to discretize the integral formulation
Luana Lazzari +2 more
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Third-order explicit two-step Runge-Kutta-Nyström method for solving second-order ordinary differential equations [PDF]
, 2012 A two-stage explicit two-step Runge-Kutta-Nyström (TSRKN) method is constructed for the numerical integration of special second-order IVPs. Algebraic order conditions of the method are obtained and third-order method is derived.
Md Ariffin, Latifah +2 more
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