Uncertainty propagation in orbital mechanics via tensor decomposition

DOI10.1007/s10569-015-9662-zzbMath1336.70042OpenAlexW2290892069MaRDI QIDQ285135

Mrinal Kumar, Yifei Sun

Publication date: 18 May 2016

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-015-9662-z

zbMATH Keywords

Fokker-Planck equationstochastic modelingcurse of dimensionalitytensor decompositionuncertainty quantificationorbital mechanicsspace situational awareness

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Orbital mechanics (70M20) Fokker-Planck equations (35Q84)

Related Items (3)

Comparison of continuity equation and Gaussian mixture model for long-term density propagation using semi-analytical methods ⋮ The Optimization Landscape for Fitting a Rank-2 Tensor with a Rank-1 Tensor ⋮ Orbit uncertainty propagation and sensitivity analysis with separated representations

Cites Work

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• Tensor Decompositions and Applications
• Proper generalized decompositions and separated representations for the numerical solution of high dimensional stochastic problems
• Multiparametric response surface construction by means of proper generalized decomposition: an extension of the PARAFAC procedure
• A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids. II: Transient simulation using space-time separated representations
• A numerical solver for high dimensional transient Fokker-Planck equation in modeling polymeric fluids
• Nonlinear filtering for a dust-perturbed two-body model
• A least-squares approximation of partial differential equations with high-dimensional random inputs
• Image representation using Laplacian regularized nonnegative tensor factorization
• Numerical solution of high dimensional stationary Fokker-Planck equations via tensor decomposition and Chebyshev spectral differentiation
• Line search and trust region strategies for canonical decomposition of semi-nonnegative semi-symmetric 3rd order tensors
• Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young decomposition
• Sequential Monte Carlo Methods in Practice
• A literature survey of low-rank tensor approximation techniques
• An Online Manifold Learning Approach for Model Reduction of Dynamical Systems
• Nonlinear model reduction via a locally weighted POD method
• Complete triangular structures and Lie algebras
• Tensor Spaces and Numerical Tensor Calculus
• Fast Solution of Parabolic Problems in the Tensor Train/Quantized Tensor Train Format with Initial Application to the Fokker--Planck Equation
• Adaptive Gaussian Sum Filters for Space Surveillance
• Dynamics of a stochastically perturbed two-body problem
• Analysis of nonlinear stochastic systems by means of the Fokker–Planck equation†
• Algorithms for Numerical Analysis in High Dimensions

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