Error Analysis for Probabilities of Rare Events with Approximate Models
DOI10.1137/20M1359808zbMath1492.65331arXiv2008.06368OpenAlexW3186179194MaRDI QIDQ5001383
Fabian Wagner, Jonas Latz, Iason Papaioannou, Elisabeth Ullmann
Publication date: 19 July 2021
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.06368
Random fields (60G60) Inequalities; stochastic orderings (60E15) Bayesian inference (62F15) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with randomness, stochastic partial differential equations (35R60)
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- Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients
- Convex analysis and nonlinear optimization. Theory and examples.
- Bayesian analysis of rare events
- An Introduction to Computational Stochastic PDEs
- Multifidelity Preconditioning of the Cross-Entropy Method for Rare Event Simulation and Failure Probability Estimation
- Multilevel Sequential Importance Sampling for Rare Event Estimation
- A Priori Error Estimates for the Finite Element Discretization of Elliptic Parameter Identification Problems with Pointwise Measurements
- Analysis of the Ensemble and Polynomial Chaos Kalman Filters in Bayesian Inverse Problems
- Multilevel Estimation of Rare Events
- Optimal L ∞ Error Estimates for Galerkin Approximations to Solutions of Two-Point Boundary Value Problems
- Finite Element Error Analysis of Elliptic PDEs with Random Coefficients and Its Application to Multilevel Monte Carlo Methods
- Interacting Langevin Diffusions: Gradient Structure and Ensemble Kalman Sampler
- Elliptic Differential Equations
- A Multilevel Monte Carlo Method for Computing Failure Probabilities
- Finite Elements
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