On numerical stability of randomized projection functional algorithms

DOI10.1080/03610918.2019.1677914OpenAlexW2980903600MaRDI QIDQ5082920

T. E. Bulgakova, A. V. Voitishek

Publication date: 21 June 2022

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918.2019.1677914

zbMATH Keywords

numerical approximationLebesgue constantintegral Fredholm equations of the second kindnumerical stability of the used orthonormal basesrandomized projection and mesh functional algorithms

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Numerical analysis or methods applied to Markov chains (65C40) Numerical solutions to stochastic differential and integral equations (65C30)

Cites Work

• Unnamed Item
• Randomized projection method for estimating angular distributions of polarized radiation based on numerical statistical modeling
• Convergence of discrete-stochastic numerical procedures with independent or weakly dependent estimators at grid nodes
• Statistical modelling algorithm for solving the nonlinear Boltzmann equation based on the projection method
• Development and Optimization of Randomized Functional Numerical Methods for Solving the Practically Significant Fredholm Integral Equations of the Second Kind

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