Practical Uncertainty Quantification in Orbital Mechanics
暂无分享,去创建一个
[1] Massimiliano Vasile,et al. An intrusive approach to uncertainty propagation in orbital mechanics based on Tchebycheff polynomial algebra , 2015 .
[2] Martin Berz,et al. Verified Integration of ODEs and Flows Using Differential Algebraic Methods on High-Order Taylor Models , 1998, Reliab. Comput..
[3] A. Doostan,et al. Nonlinear Propagation of Orbit Uncertainty Using Non-Intrusive Polynomial Chaos , 2013 .
[4] Glenn Shafer,et al. A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.
[5] M. Vasile,et al. Asteroid rotation and orbit control via laser ablation , 2016 .
[6] Puneet Singla,et al. An Approach for Nonlinear Uncertainty Propagation: Application to Orbital Mechanics , 2009 .
[7] Gary Tang,et al. Mixed aleatory-epistemic uncertainty quantification with stochastic expansions and optimization-based interval estimation , 2011, Reliab. Eng. Syst. Saf..
[8] Roger G. Ghanem,et al. On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data , 2006, J. Comput. Phys..
[9] M. Berz,et al. Asteroid close encounters characterization using differential algebra: the case of Apophis , 2010 .
[10] Kiyosi Itô. 109. Stochastic Integral , 1944 .
[11] Terence Soule,et al. Genetic Programming: Theory and Practice , 2003 .
[12] Massimiliano Vasile,et al. On the Use of Positive Polynomials for the Estimation of Upper and Lower Expectations in Orbital Dynamics , 2018 .
[13] Edmondo Minisci,et al. HIGH DIMENSIONAL SENSITIVITY ANALYSIS USING SURROGATE MODELING AND HIGH DIMENSIONAL MODEL REPRESENTATION , 2015 .
[14] Massimiliano Vasile,et al. Comparison of non-intrusive approaches to uncertainty propagation in orbital mechanics , 2015 .
[15] A. Genz,et al. Fully symmetric interpolatory rules for multiple integrals over infinite regions with Gaussian weight , 1996 .
[16] Aubrey B. Poore,et al. Nonlinear Uncertainty Propagation in Orbital Elements and Transformation to Cartesian Space Without Loss of Realism , 2014 .
[17] Angel Jorba,et al. A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods , 2005, Exp. Math..
[18] M. Berz,et al. TAYLOR MODELS AND OTHER VALIDATED FUNCTIONAL INCLUSION METHODS , 2003 .
[19] Peter Walley,et al. Towards a unified theory of imprecise probability , 2000, Int. J. Approx. Reason..
[20] Edmondo Minisci,et al. Uncertainty treatment in the GOCE re-entry , 2017 .
[21] S. Ghosal. Convergence rates for density estimation with Bernstein polynomials , 2001 .
[22] Massimiliano Vasile,et al. Collision and re-entry analysis under aleatory and epistemic uncertainty , 2016 .
[23] H. Montag. Non-gravitational Perturbations and Satellite Geodesy , 1987 .
[24] D. Drob,et al. Nrlmsise-00 Empirical Model of the Atmosphere: Statistical Comparisons and Scientific Issues , 2002 .
[25] Pol D. Spanos,et al. Spectral Stochastic Finite-Element Formulation for Reliability Analysis , 1991 .
[26] R. Park,et al. Nonlinear Mapping of Gaussian Statistics: Theory and Applications to Spacecraft Trajectory Design , 2006 .
[27] Dongbin Xiu,et al. The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations , 2002, SIAM J. Sci. Comput..
[28] Hugh G. Lewis,et al. Multidimensional extension of the continuity equation method for debris clouds evolution , 2016 .
[29] J. C Mason,et al. Near-best multivariate approximation by Fourier series, Chebyshev series and Chebyshev interpolation , 1980 .
[30] Jack P. C. Kleijnen,et al. Kriging Metamodeling in Simulation: A Review , 2007, Eur. J. Oper. Res..
[31] Jeffrey K. Uhlmann,et al. New extension of the Kalman filter to nonlinear systems , 1997, Defense, Security, and Sensing.
[32] Massimiliano Vasile,et al. Autonomous navigation of a spacecraft formation in the proximity of an asteroid , 2016 .
[33] Takao Fujiwara,et al. Integration of the collisionless Boltzmann equation for spherical stellar systems , 1983 .
[34] Thomas Stützle,et al. Ant colony optimization: artificial ants as a computational intelligence technique , 2006 .
[35] Roger Ghanem,et al. Stochastic Finite Element Analysis for Multiphase Flow in Heterogeneous Porous Media , 1998 .
[36] A. Celletti,et al. Four Classical Methods for Determining Planetary Elliptic Elements: A Comparison , 2005 .
[37] T. Singh,et al. Uncertainty Propagation for Nonlinear Dynamic Systems Using Gaussian Mixture Models , 2008 .
[38] Lilia Maliar,et al. Smolyak Method for Solving Dynamic Economic Models: Lagrange Interpolation, Anisotropic Grid and Adaptive Domain , 2013 .
[39] Massimiliano Vasile,et al. Analysis of spacecraft disposal solutions from LPO to the Moon with high order polynomial expansions , 2017 .
[40] Kyle J. DeMars,et al. Probabilistic Initial Orbit Determination Using Gaussian Mixture Models , 2013 .
[41] A. Milani,et al. Theory of Orbit Determination , 2009 .
[42] I. Sobola,et al. Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates , 2001 .
[43] Massimiliano Vasile,et al. De-orbiting and re-entry analysis with generalised intrusive polynomial expansions , 2016 .
[44] H. H. Selim,et al. Final state predictions for J2 gravity perturbed motion of the Earth’s artificial satellites using Bispherical coordinates , 2013 .
[45] Arthur P. Dempster,et al. Upper and Lower Probabilities Induced by a Multivalued Mapping , 1967, Classic Works of the Dempster-Shafer Theory of Belief Functions.
[46] Marco Dorigo,et al. Ant colony optimization , 2006, IEEE Computational Intelligence Magazine.