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1. Full Text Chaos in King’s iterative family
by Cordero, Alicia and García-Maimó, Javier and Torregrosa, Juan R and Vassileva, Maria P and Vindel, Pura
Applied mathematics letters, ISSN 0893-9659, 08/2013, Volume 26, Issue 8, pp. 842 - 848
Nonlinear equations | Dynamical behavior | Iterative methods | Fatou and Julia sets | King’s family | Quadratic polynomials | King's family | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Nonlinear dynamics | Dynamic tests | Chaos theory | Mathematical analysis | Complexity | Convergence
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2. Polynomial-chaos-based Kriging
by Schöbi, Roland and Sudret, Bruno and Wiart, Joe
International journal for uncertainty quantification, ISSN 2152-5080, 2015, Volume 5, Issue 2, pp. 171 - 193
Benchmark functions | Polynomial chaos expansions | Meta-modeling | PC-Kriging | Emulator | Kriging | Gaussian process modeling | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mathematics | Science & Technology
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3. Full Text Extreme Decoherence and Quantum Chaos
by Xu, Zhenyu and García-Pintos, Luis Pedro and Chenu, Aurélia and Del Campo, Adolfo and Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Physical review letters, ISSN 0031-9007, 01/2019, Volume 122, Issue 1, pp. 014103 - 014103
Physics, Multidisciplinary | Physical Sciences | Physics | Science & Technology | Variations | Polynomials | Chaos theory | Dependence | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
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4. Full Text Chaos on the hypercube
by Jia, Yiyang and Verbaarschot, Jacobus J. M
The journal of high energy physics, ISSN 1029-8479, 11/2020, Volume 2020, Issue 11, pp. 1 - 46
Random Systems | Matrix Models | 1/N Expansion | Physical Sciences | Physics, Particles & Fields | Physics | Science & Technology | Spectral density function | Magnetic flux | Fermions | Two dimensional models | Hypercubes | Spectra | Hermite polynomials | Density | Sums | Symmetry
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5. Full Text Global sensitivity analysis using polynomial chaos expansions
by Sudret, Bruno
Reliability engineering & system safety, ISSN 0951-8320, 2008, Volume 93, Issue 7, pp. 964 - 979
Sobol’ indices | Global sensitivity analysis | Regression | Polynomial chaos | Stochastic finite elements | Analysis of variance | Generalized chaos | Sobol' indices | Operations Research & Management Science | Engineering | Engineering, Industrial | Technology | Science & Technology | Reliability theory. Replacement problems | Experimental design | Operational research and scientific management | Exact sciences and technology | Applied sciences | Mathematics | Probability and statistics | Statistics | Operational research. Management science | Sciences and techniques of general use
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6. Full Text A new surrogate modeling technique combining Kriging and polynomial chaos expansions – Application to uncertainty analysis in computational dosimetry
by Kersaudy, Pierric and Sudret, Bruno and Varsier, Nadège and Picon, Odile and Wiart, Joe
Journal of computational physics, ISSN 0021-9991, 04/2015, Volume 286, pp. 103 - 117
Least-angle regression | Polynomial chaos expansions | Specific absorption rate | Dosimetry | Kriging | Physical Sciences | Computer Science, Interdisciplinary Applications | Technology | Physics, Mathematical | Computer Science | Physics | Science & Technology | Electromagnetic radiation | Monte Carlo method | Algorithms | Electromagnetism | Electromagnetic waves | Electric waves | Computer simulation | Computation | Chaos theory | Regression | Mathematical models | Exposure | Polynomials | Mathematics | BENCHMARKS | MONTE CARLO METHOD | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ALGORITHMS | CHAOS THEORY | COMPUTERIZED SIMULATION | POLYNOMIALS | ELECTROMAGNETIC RADIATION | EXPERIMENT DESIGN | REGRESSION ANALYSIS | ABSORPTION | KRIGING | DOSIMETRY | ENVIRONMENTAL EXPOSURE | MATHEMATICAL METHODS AND COMPUTING | SENSITIVITY ANALYSIS
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7. Full Text Efficient posterior exploration of a high‐dimensional groundwater model from two‐stage Markov chain Monte Carlo simulation and polynomial chaos expansion
by Laloy, Eric and Rogiers, Bart and Vrugt, Jasper A and Mallants, Dirk and Jacques, Diederik
Water resources research, ISSN 0043-1397, 05/2013, Volume 49, Issue 5, pp. 2664 - 2682
high‐parameter dimensionality | groundwater model | polynomial chaos | two‐stage MCMC | two-stage MCMC | high-parameter dimensionality | Limnology | Physical Sciences | Life Sciences & Biomedicine | Marine & Freshwater Biology | Water Resources | Environmental Sciences & Ecology | Science & Technology | Environmental Sciences | Models | Markov analysis | Groundwater | Expansion | Monte Carlo simulation | Markov chains | Stochasticity | Computer applications
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8. Full Text Polynomial chaos expansion for sensitivity analysis
by Crestaux, Thierry and Le Maıˆtre, Olivier and Martinez, Jean-Marc
Reliability engineering & system safety, ISSN 0951-8320, 2009, Volume 94, Issue 7, pp. 1161 - 1172
Uncertainty quantification | Polynomial chaos | Sensitivity analysis | Sobol's decomposition | Reliability theory. Replacement problems | Applied sciences | Operational research and scientific management | Operational research. Management science | Exact sciences and technology
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9. Full Text Adaptive sparse polynomial chaos expansion based on least angle regression
by Blatman, Géraud and Sudret, Bruno
Journal of computational physics, ISSN 0021-9991, 2011, Volume 230, Issue 6, pp. 2345 - 2367
Sensitivity analysis | Adaptive stochastic finite elements | Sparse polynomial chaos expansion | Least angle regression | Sequential experimental design | Response surfaces | Physical Sciences | Computer Science, Interdisciplinary Applications | Technology | Physics, Mathematical | Computer Science | Physics | Science & Technology | General | Mathematical methods in physics | Exact sciences and technology | Computational techniques | Finite element method | Analysis | Algorithms | Chaos theory | Mathematical analysis | Regression | Mathematical models | Computational efficiency | Personal computers | RANDOMNESS | TENSORS | SERIES EXPANSION | STOCHASTIC PROCESSES | NUMERICAL SOLUTION | APPROXIMATIONS | CALCULATION METHODS | ALGORITHMS | FUNCTIONS | CHAOS THEORY | FINITE ELEMENT METHOD | ACCURACY | POLYNOMIALS | MATHEMATICS | MATHEMATICAL SOLUTIONS | CONVERGENCE | MATHEMATICAL LOGIC | VECTORS | MATHEMATICAL METHODS AND COMPUTING | SENSITIVITY ANALYSIS
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10. Full Text Polynomial chaos‐based extended Padé expansion in structural dynamics
by Jacquelin, E and Dessombz, O and Sinou, J.‐J and Adhikari, S and Friswell, M. I
International journal for numerical methods in engineering, ISSN 0029-5981, 09/2017, Volume 111, Issue 12, pp. 1170 - 1191
polynomial chaos expansion | multivariate Padé approximants | random modes | random dynamical systems | Mathematics, Interdisciplinary Applications | Engineering | Physical Sciences | Technology | Engineering, Multidisciplinary | Mathematics | Science & Technology | Dynamic response | Economic models | Parameter uncertainty | Resonant frequencies | Approximants | Polynomials | Mathematical models | Galerkin method | Dynamical systems | Frequency response functions | Mechanics | Engineering Sciences
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