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An explicit substructuring method for overlapping domain decomposition based on stochastic calculus
In a recent paper [7], a hybrid supercomputing algorithm for elliptic equations has been proposed. The idea is that the interfacial …
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An iterative method for Helmholtz boundary value problems arising in wave propagation
The complex Helmholtz equation (Δ+k2)u=f (where k∈R,u(⋅),f(⋅)∈ℂ) is a mainstay of computational wave simulation. Despite its apparent …
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Correction to: A Fast Monte Carlo Algorithm for Evaluating Matrix Functions with Application in Complex Networks (Journal of Scientific Computing, (2024), 99, 2, (41), 10.1007/s10915-024-02500-w)
https://doi.org/10.1007/s10915-024-02500-w. The Funding information “PTDC/CCI-INF/6762/2020” was missing from this article and should …
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A Fast Monte Carlo Algorithm for Evaluating Matrix Functions with Application in Complex Networks
We propose a novel stochastic algorithm that randomly samples entire rows and columns of the matrix as a way to approximate an …
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A Meshfree RBF-FD Constant along Normal Method for Solving PDEs on Surfaces
Abstract. This paper introduces a novel meshfree methodology based on radial basis function–finite difference (RBF-FD) approximations …
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A radial basis function partition of unity method for steady flow simulations
A methodology is presented for the numerical solution of nonlinear elliptic systems in unbounded domains, consisting of three elements. …
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A stochastic method for solving time-fractional differential equations
We present a stochastic method for efficiently computing the solution of time-fractional partial differential equations (fPDEs) that …
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Contests in two fronts
Within the framework of Game Theory, there are games where rewards depend on the relative rank between contenders rather than their …
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Correction to: Survey of a class of iterative row-action methods: The Kaczmarz method (Numerical Algorithms, (2024), 10.1007/s11075-024-01945-2)
The 2nd affiliation of Juan A. Acebrón was inadvertently deleted. The original article has been corrected. © The Author(s) 2024.
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Correlation-informed ordered dictionary learning for imaging in complex media
We propose a method for imaging in scattering media when large and diverse datasets are available. It has two steps. Using a dictionary …
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