Higher-order Taylor series expansion for uncertainty quantification with efficient local sensitivity
Authors:
- Achyut PaudelAPAchyut Paudel
- Subham GuptaSGSubham Gupta
- Mishal ThapaMTMishal Thapa
- Sameer B. MulaniSMSameer B. Mulani
- Robert W. WaltersRWRobert W. Walters
- 22 April 2022
- journal article
- research article
- Published by Elsevier in Aerospace Science and Technology
- Vol. 126
Abstract
No abstract availableKeywords
This publication has 35 references indexed in Scilit:
- Propagating Skewness and Kurtosis Through Engineering Models for Low-Cost, Meaningful, Nondeterministic DesignJournal of Mechanical Design, 2012
- Hybrid perturbation-Polynomial Chaos approaches to the random algebraic eigenvalue problemComputer Methods in Applied Mechanics and Engineering, 2012
- Reliability sensitivity by method of momentsApplied Mathematical Modelling, 2010
- An adaptive multi-element generalized polynomial chaos method for stochastic differential equationsJournal of Computational Physics, 2005
- On the performance of discrete adjoint CFD codes using automatic differentiationInternational Journal for Numerical Methods in Fluids, 2005
- The complex-step derivative approximationACM Transactions on Mathematical Software, 2003
- Modeling uncertainty in flow simulations via generalized polynomial chaosJournal of Computational Physics, 2003
- Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimatesMathematics and Computers in Simulation, 2001
- Random field finite elementsInternational Journal for Numerical Methods in Engineering, 1986
- The Homogeneous ChaosAmerican Journal of Mathematics, 1938