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ArticleApproximate methods for stochastic eigenvalue problems

Harri Hakula2015

Article2015

Approximate methods for stochastic eigenvalue problems

Harri Hakula · Vesa Kaarnioja · Mikael Laaksonen

27 citations·0/0 files stored·Applied Mathematics and Computation

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Probabilistic and Robust Engineering Design Advanced Numerical Methods in Computational Mathematics Model Reduction and Neural Networks

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References

1991Stochastic Finite Elements: A Spectral Approach 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data 2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure 2008An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data 2006Karhunen–Loève approximation of random fields by generalized fast multipole methods 2010Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEs 2006On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data

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2014Spectral Power Iterations for the Random Eigenvalue Problem 2024Dynamic characteristics of vertically irregular structures with random fields of different probability distributions based on stochastic homotopy method 2016Inverse Subspace Iteration for Spectral Stochastic Finite Element Methods 2022An efficient reduced‐order method for stochastic eigenvalue analysis

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Year2015

Typearticle

Published2015-02-03

VenueApplied Mathematics and Computation

ISSN-L0096-3003

Languageen

Citations27

Files0 public / 0

ShelfProbabilistic and Robust Engineering Design

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doi10.1016/j.amc.2014.12.112

openalex_workW1985289051

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2021Random matrix eigenvalue problems in structural dynamics: An iterative approach