Accuracy improvement of the most probable point-based dimension reduction method using the Hessian matrix

DOI10.1002/NME.5458zbMATH Open1548.62238MaRDI QIDQ6557360

Seong Bin Kang, Ikjin Lee, Jeong Woo Park

Publication date: 18 June 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

eigenvalueeigenvectorHessian matrixdimension reduction method (DRM)most probable point (MPP)

Mathematics Subject Classification ID

Estimation in survival analysis and censored data (62N02) Numerical linear algebra (65F99)

Cites Work

• Title not available (Why is that?)
• A comparative study of probability estimation methods for reliability analysis
• An adaptive dimension decomposition and reselection method for reliability analysis
• Sensitivity based reduced approaches for structural reliability analysis
• Two-point estimates in probabilities
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• Inverse analysis method using MPP-based dimension reduction for reliability-based design optimization of nonlinear and multi-dimensional systems
• Second-order reliability method-based inverse reliability analysis using Hessian update for accurate and efficient reliability-based design optimization
• Asymptotic distribution method for structural reliability analysis in high dimensions
• A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics
• Remarks on a Multivariate Transformation

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