SZodixStudyAcademic Library
ShelvesOpen access
Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated
Hybrid perturbation-Polynomial Chaos approaches to the random algebraic eigenvalue problem
16 references·14 citing·36 second hop
Hybrid perturbation-Polynomial Chaos approaches to the random algebraic eigenvalue problem (2012)Hybrid perturbation-Polynomial Chaos appr…Spectral methods for uncertainty quantification : with applications to computational fluid dynamics (2010)Spectral methods for uncertai…A stochastic collocation method for large classes of mechanical problems with uncertain parameters (2010)A stochastic collocation meth…The stochastic finite element method: Past, present and future (2008)The stochastic finite element…Stochastic convergence acceleration through basis enrichment of polynomial chaos expansions (2007)Stochastic convergence accele…Efficient characterization of the random eigenvalue problem in a polynomial chaos decomposition (2007)Efficient characterization of…Random matrix eigenvalue problems in structural dynamics (2006)Random matrix eigenvalue prob…A solution of the random eigenvalue problem by a dimensional decomposition method (2006)A solution of the random eige…Beyond Wiener–Askey Expansions: Handling Arbitrary PDFs (2005)Beyond Wiener–Askey Expansion…Analysis of Eigenvalues and Modal Interaction of Stochastic Systems (2005)Analysis of Eigenvalues and M…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Random eigenvalue problems for large systems (2002)Random eigenvalue problems fo…Computational procedure for a fast calculation of eigenvectors and eigenvalues of structures with random properties (2001)Computational procedure for a…Optimal Discretization of Random Fields (1993)Optimal Discretization of Ran…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…The stochastic finite-element method (1980)The stochastic finite-element…Modal Analysis of Random Structural Systems (1972)Modal Analysis of Random Stru…Dynamic characteristics of vertically irregular structures with random fields of different probability distributions based on stochastic homotopy method (2024)Dynamic characteristics of ve…Higher-order Taylor series expansion for uncertainty quantification with efficient local sensitivity (2022)Higher-order Taylor series ex…An efficient reduced‐order method for stochastic eigenvalue analysis (2022)An efficient reduced‐order me…Random matrix eigenvalue problems in structural dynamics: An iterative approach (2021)Random matrix eigenvalue prob…Neumann enriched polynomial chaos approach for stochastic finite element problems (2021)Neumann enriched polynomial c…Extended Wittrick–Williams algorithm for eigenvalue solution of stochastic dynamic stiffness method (2021)Extended Wittrick–Williams al…Graph-Theoretic-Approach-Assisted Gaussian Process for Nonlinear Stochastic Dynamic Analysis under Generalized Loading (2019)Graph-Theoretic-Approach-Assi…Extreme value oriented random field discretization based on an hybrid polynomial chaos expansion — Kriging approach (2018)Extreme value oriented random…Stochastic model reduction for robust dynamical characterization of structures with random parameters (2017)Stochastic model reduction fo…Homotopy approach for random eigenvalue problem (2017)Homotopy approach for random …Inverse Subspace Iteration for Spectral Stochastic Finite Element Methods (2016)Inverse Subspace Iteration fo…Inverse Subspace Iteration for Spectral Stochastic Finite Element Methods (2016)Inverse Subspace Iteration fo…Polynomial Chaos for random fractional order differential equations (2013)Polynomial Chaos for random f…A hybrid approach for the time domain analysis of linear stochastic structures (2013)A hybrid approach for the tim…Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Multi-resolution analysis of Wiener-type uncertainty propagation schemes (2004)Stochastic finite elements: Computational approaches to stochastic partial differential equations (2008)Stochastic Models of Uncertainties in Computational Mechanics (2012)Reliability assessment in structural dynamics (2013)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Modeling physical uncertainties in dynamic stall induced fluid–structure interaction of turbine blades using arbitrary polynomial chaos (2007)SAMBA: Sparse Approximation of Moment-Based Arbitrary Polynomial Chaos (2016)Review of Polynomial Chaos-Based Methods for Uncertainty Quantification in Modern Integrated Circuits (2018)The eigenvalue problem for structural systems with statistical properties. (1969)Structural Dynamics with Parameter Uncertainties (1987)Progress in Structural Dynamics With Stochastic Parameter Variations: 1987-1998 (1999)Experimental case studies for uncertainty quantification in structural dynamics (2009)Doubly Spectral Stochastic Finite-Element Method for Linear Structural Dynamics (2011)Exact and Invariant Second-Moment Code Format (1974)Random field finite elements (1986)A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics (2004)Fast Numerical Methods for Stochastic Computations: A Review (2009)Structural Reliability under Incomplete Probability Information (1986)Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Convergence study of the truncated Karhunen–Loeve expansion for simulation of stochastic processes (2001)The PHI2 method: a way to compute time-variant reliability (2003)Estimation of small failure probabilities in high dimensions by subset simulation (2001)Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion (2014)Direct probability integral method for stochastic response analysis of static and dynamic structural systems (2019)Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Wind effects on structures: a probabilistic viewpoint (1987)Response of Uncertain Systems to Stochastic Excitation (1988)Stochastic finite element analysis of the free vibration of laminated composite plates (2007)Simulation-based optimal Bayesian experimental design for nonlinear systems (2012)Compressive sampling of polynomial chaos expansions: Convergence analysis and sampling strategies (2014)Stochastic finite element methods for partial differential equations with random input data (2014)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)
this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2008The stochastic finite element method: Past, present and future999 cited
  • 1993Optimal Discretization of Random Fields728 cited
  • 1980The stochastic finite-element method641 cited
  • 2010Spectral methods for uncertainty quantification : with applications to computational fluid dynamics572 cited
  • 2005Beyond Wiener–Askey Expansions: Handling Arbitrary PDFs153 cited
  • 2007Efficient characterization of the random eigenvalue problem in a polynomial chaos decomposition132 cited
  • 2006Random matrix eigenvalue problems in structural dynamics98 cited
  • 1972Modal Analysis of Random Structural Systems91 cited
  • 2005Analysis of Eigenvalues and Modal Interaction of Stochastic Systems80 cited
  • 2002Random eigenvalue problems for large systems77 cited
  • 2007Stochastic convergence acceleration through basis enrichment of polynomial chaos expansions69 cited
  • 2001Computational procedure for a fast calculation of eigenvectors and eigenvalues of structures with random properties62 cited
  • 2010A stochastic collocation method for large classes of mechanical problems with uncertain parameters

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

61 cited
  • 2006A solution of the random eigenvalue problem by a dimensional decomposition method45 cited
  • Cited by

    • 2022Higher-order Taylor series expansion for uncertainty quantification with efficient local sensitivity33 cited
    • 2013A hybrid approach for the time domain analysis of linear stochastic structures25 cited
    • 2019Graph-Theoretic-Approach-Assisted Gaussian Process for Nonlinear Stochastic Dynamic Analysis under Generalized Loading25 cited
    • 2018Extreme value oriented random field discretization based on an hybrid polynomial chaos expansion — Kriging approach24 cited
    • 2013Polynomial Chaos for random fractional order differential equations22 cited
    • 2021Extended Wittrick–Williams algorithm for eigenvalue solution of stochastic dynamic stiffness method20 cited
    • 2017Homotopy approach for random eigenvalue problem19 cited
    • 2024Dynamic characteristics of vertically irregular structures with random fields of different probability distributions based on stochastic homotopy method11 cited
    • 2016Inverse Subspace Iteration for Spectral Stochastic Finite Element Methods11 cited
    • 2022An efficient reduced‐order method for stochastic eigenvalue analysis11 cited
    • 2021Neumann enriched polynomial chaos approach for stochastic finite element problems11 cited
    • 2021Random matrix eigenvalue problems in structural dynamics: An iterative approach10 cited
    • 2017Stochastic model reduction for robust dynamical characterization of structures with random parameters8 cited
    • 2016Inverse Subspace Iteration for Spectral Stochastic Finite Element Methods8 cited