Journal articles on the topic 'Polynomial chao'
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Schmid, Christine, and Kyle J. DeMars. "Angular Correlation Using Rogers-Szegő-Chaos." Mathematics 8, no. 2 (February 1, 2020): 171. http://dx.doi.org/10.3390/math8020171.
Full textChen, Hong, Ling Wu, Shu Bin Gu, and Qun Ding. "Comparison of the Image Encryption Effects Based on Different Unary Polynomial Transformation Chaos." Advanced Materials Research 846-847 (November 2013): 948–51. http://dx.doi.org/10.4028/www.scientific.net/amr.846-847.948.
Full textGhanem, R. "The Nonlinear Gaussian Spectrum of Log-Normal Stochastic Processes and Variables." Journal of Applied Mechanics 66, no. 4 (December 1, 1999): 964–73. http://dx.doi.org/10.1115/1.2791806.
Full textFan, Chengmei, M. Mobeen Munir, Zafar Hussain, Muhammad Athar, and Jia-Bao Liu. "Polynomials and General Degree-Based Topological Indices of Generalized Sierpinski Networks." Complexity 2021 (February 9, 2021): 1–10. http://dx.doi.org/10.1155/2021/6657298.
Full textSEPAHVAND, K., S. MARBURG, and H. J. HARDTKE. "UNCERTAINTY QUANTIFICATION IN STOCHASTIC SYSTEMS USING POLYNOMIAL CHAOS EXPANSION." International Journal of Applied Mechanics 02, no. 02 (June 2010): 305–53. http://dx.doi.org/10.1142/s1758825110000524.
Full textXiu, Dongbin, Didier Lucor, C. H. Su, and George Em Karniadakis. "Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos." Journal of Fluids Engineering 124, no. 1 (October 29, 2001): 51–59. http://dx.doi.org/10.1115/1.1436089.
Full textGao, Rugao, Keping Zhou, and Yun Lin. "A Flexible Polynomial Expansion Method for Response Analysis with Random Parameters." Complexity 2018 (December 3, 2018): 1–14. http://dx.doi.org/10.1155/2018/7471460.
Full textFranco-Medrano, Fermin, and Francisco J. Solis. "Stability of Real Parametric Polynomial Discrete Dynamical Systems." Discrete Dynamics in Nature and Society 2015 (2015): 1–13. http://dx.doi.org/10.1155/2015/680970.
Full textAbbasi, Mostafa, and Ali Gholami. "Polynomial chaos expansion for nonlinear geophysical inverse problems." GEOPHYSICS 82, no. 4 (July 1, 2017): R259—R268. http://dx.doi.org/10.1190/geo2016-0716.1.
Full textLi, Ning, Bo Meng, Xinlong Feng, and Dongwei Gui. "A Numerical Comparison of Finite Difference and Finite Element Methods for a Stochastic Differential Equation with Polynomial Chaos." East Asian Journal on Applied Mathematics 5, no. 2 (May 2015): 192–208. http://dx.doi.org/10.4208/eajam.250714.020515a.
Full textWei, Xiao, Haichao Chang, Baiwei Feng, and Zuyuan Liu. "Sensitivity Analysis Based on Polynomial Chaos Expansions and Its Application in Ship Uncertainty-Based Design Optimization." Mathematical Problems in Engineering 2019 (January 23, 2019): 1–19. http://dx.doi.org/10.1155/2019/7498526.
Full textGuo, Ling, Yongle Liu, and Liang Yan. "Sparse Recovery via ℓq-Minimization for Polynomial Chaos Expansions." Numerical Mathematics: Theory, Methods and Applications 10, no. 4 (September 12, 2017): 775–97. http://dx.doi.org/10.4208/nmtma.2017.0001.
Full textGhanem, Roger, and P. D. Spanos. "Polynomial Chaos in Stochastic Finite Elements." Journal of Applied Mechanics 57, no. 1 (March 1, 1990): 197–202. http://dx.doi.org/10.1115/1.2888303.
Full textBen Said, Mohamed, Lahcen Azrar, and Driss Sarsri. "Numerical Procedures for Random Differential Equations." Journal of Applied Mathematics 2018 (2018): 1–23. http://dx.doi.org/10.1155/2018/7403745.
Full textChi, Yaodan, Bin Li, Xiaotian Yang, Tianhao Wang, Kaiyu Yang, and Yinhan Gao. "Research on the Statistical Characteristics of Crosstalk in Naval Ships Wiring Harness Based on Polynomial Chaos Expansion Method." Polish Maritime Research 24, s2 (August 28, 2017): 205–14. http://dx.doi.org/10.1515/pomr-2017-0084.
Full textYang, Yongfeng, Tingdong Jiang, Zhong Ren, Junyao Zhao, and Zheng Zhang. "Rationalize the irrational and fractional expressions in nonlinear analysis." Modern Physics Letters B 30, no. 04 (February 10, 2016): 1650068. http://dx.doi.org/10.1142/s0217984916500688.
Full textSchobi, Roland, Bruno Sudret, and Joe Wiart. "POLYNOMIAL-CHAOS-BASED KRIGING." International Journal for Uncertainty Quantification 5, no. 2 (2015): 171–93. http://dx.doi.org/10.1615/int.j.uncertaintyquantification.2015012467.
Full textSEPAHVAND, K., S. MARBURG, and H. J. HARDTKE. "STOCHASTIC STRUCTURAL MODAL ANALYSIS INVOLVING UNCERTAIN PARAMETERS USING GENERALIZED POLYNOMIAL CHAOS EXPANSION." International Journal of Applied Mechanics 03, no. 03 (September 2011): 587–606. http://dx.doi.org/10.1142/s1758825111001147.
Full textWAUBKE, HOLGER. "BOUNDARY ELEMENT METHOD FOR ISOTROPIC MEDIA WITH RANDOM SHEAR MODULI." Journal of Computational Acoustics 13, no. 01 (March 2005): 229–58. http://dx.doi.org/10.1142/s0218396x05002530.
Full textHOANG, VIET HA, and CHRISTOPH SCHWAB. "N-TERM WIENER CHAOS APPROXIMATION RATES FOR ELLIPTIC PDEs WITH LOGNORMAL GAUSSIAN RANDOM INPUTS." Mathematical Models and Methods in Applied Sciences 24, no. 04 (January 28, 2014): 797–826. http://dx.doi.org/10.1142/s0218202513500681.
Full textYin, Shengwen, Yuan Gao, Xiaohan Zhu, and Zhonggang Wang. "Anisotropy-Based Adaptive Polynomial Chaos Method for Hybrid Uncertainty Quantification and Reliability-Based Design Optimization of Structural-Acoustic System." Mathematics 11, no. 4 (February 7, 2023): 836. http://dx.doi.org/10.3390/math11040836.
Full textSEPAHVAND, K., S. MARBURG, and H. J. HARDTKE. "NUMERICAL SOLUTION OF ONE-DIMENSIONAL WAVE EQUATION WITH STOCHASTIC PARAMETERS USING GENERALIZED POLYNOMIAL CHAOS EXPANSION." Journal of Computational Acoustics 15, no. 04 (December 2007): 579–93. http://dx.doi.org/10.1142/s0218396x07003524.
Full textChang, K., and A. R. Ko. "TURBULENT FLOW SIMULATION AROUND FLAT PLATE BASED ON POINT-COLLOCATION NON-INTRUSIVE POLYNOMIAL CHAOS METHOD." Journal of Computational Fluids Engineering 23, no. 2 (June 30, 2018): 94–100. http://dx.doi.org/10.6112/kscfe.2018.23.2.094.
Full textKwapien, Stanislaw. "Decoupling Inequalities for Polynomial Chaos." Annals of Probability 15, no. 3 (July 1987): 1062–71. http://dx.doi.org/10.1214/aop/1176992081.
Full textGerritsma, Marc, Jan-Bart van der Steen, Peter Vos, and George Karniadakis. "Time-dependent generalized polynomial chaos." Journal of Computational Physics 229, no. 22 (November 2010): 8333–63. http://dx.doi.org/10.1016/j.jcp.2010.07.020.
Full textZhao, Wei, and Ji Ke Liu. "Stochastic Finite Element Method Using Polynomial Chaos Expansion." Advanced Materials Research 199-200 (February 2011): 500–504. http://dx.doi.org/10.4028/www.scientific.net/amr.199-200.500.
Full textYin, Shengwen, Xiaohan Zhu, and Xiang Liu. "A Novel Sparse Polynomial Expansion Method for Interval and Random Response Analysis of Uncertain Vibro-Acoustic System." Shock and Vibration 2021 (September 23, 2021): 1–15. http://dx.doi.org/10.1155/2021/1125373.
Full textDi Persio, Luca, Gregorio Pellegrini, and Michele Bonollo. "Polynomial Chaos Expansion Approach to Interest Rate Models." Journal of Probability and Statistics 2015 (2015): 1–24. http://dx.doi.org/10.1155/2015/369053.
Full textLiu, Qian, Xufang Zhang, and Xianzhen Huang. "A sparse surrogate model for structural reliability analysis based on the generalized polynomial chaos expansion." Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability 233, no. 3 (October 8, 2018): 487–502. http://dx.doi.org/10.1177/1748006x18804047.
Full textFox, Jamie, and Giray Ökten. "Brownian Path Generation and Polynomial Chaos." SIAM Journal on Financial Mathematics 12, no. 2 (January 2021): 724–43. http://dx.doi.org/10.1137/20m1343154.
Full textWilliams, M. M. R. "Polynomial Chaos Functions and Neutron Diffusion." Nuclear Science and Engineering 155, no. 1 (January 2007): 109–18. http://dx.doi.org/10.13182/nse05-73tn.
Full textPÉREZ, GABRIEL. "ROBUST CHAOS IN POLYNOMIAL UNIMODAL MAPS." International Journal of Bifurcation and Chaos 14, no. 07 (July 2004): 2431–37. http://dx.doi.org/10.1142/s0218127404010722.
Full textPulch, Roland, and Cathrin van Emmerich. "Polynomial chaos for simulating random volatilities." Mathematics and Computers in Simulation 80, no. 2 (October 2009): 245–55. http://dx.doi.org/10.1016/j.matcom.2009.05.008.
Full textCrestaux, Thierry, Olivier Le Maıˆtre, and Jean-Marc Martinez. "Polynomial chaos expansion for sensitivity analysis." Reliability Engineering & System Safety 94, no. 7 (July 2009): 1161–72. http://dx.doi.org/10.1016/j.ress.2008.10.008.
Full textBeck, André Teófilo, and Wellison José de Santana Gomes. "Stochastic fracture mechanics using polynomial chaos." Probabilistic Engineering Mechanics 34 (October 2013): 26–39. http://dx.doi.org/10.1016/j.probengmech.2013.04.002.
Full textLucor, D., C. H. Su, and G. E. Karniadakis. "Generalized polynomial chaos and random oscillators." International Journal for Numerical Methods in Engineering 60, no. 3 (May 5, 2004): 571–96. http://dx.doi.org/10.1002/nme.976.
Full textBorell, Christer. "Real polynomial chaos and absolute continuity." Probability Theory and Related Fields 77, no. 3 (March 1988): 397–400. http://dx.doi.org/10.1007/bf00319296.
Full textChen, Kung Yu, Shouh Jung Liu, and H. M. Srivastava. "Some new results for the Lagrange polynomials in several variables." ANZIAM Journal 49, no. 2 (October 2007): 243–58. http://dx.doi.org/10.1017/s1446181100012815.
Full textSinha, Alok. "Computation of the Statistics of Forced Response of a Mistuned Bladed Disk Assembly via Polynomial Chaos." Journal of Vibration and Acoustics 128, no. 4 (June 15, 2005): 449–57. http://dx.doi.org/10.1115/1.2215620.
Full textDrakos, S., and G. N. Pande. "Stochastic Finite Element Analysis using Polynomial Chaos." Studia Geotechnica et Mechanica 38, no. 1 (March 1, 2016): 33–43. http://dx.doi.org/10.1515/sgem-2016-0004.
Full textKaur, Navjot, and Kavita Goyal. "Hybrid Hermite polynomial chaos SBP-SAT technique for stochastic advection-diffusion equations." International Journal of Modern Physics C 31, no. 09 (August 8, 2020): 2050128. http://dx.doi.org/10.1142/s0129183120501284.
Full textSlika, Wael, and George Saad. "A practical polynomial chaos Kalman filter implementation using nonlinear error projection on a reduced polynomial chaos expansion." International Journal for Numerical Methods in Engineering 112, no. 12 (June 27, 2017): 1869–85. http://dx.doi.org/10.1002/nme.5586.
Full textGayrard, Emeline, Cédric Chauvière, Hacène Djellout, and Pierre Bonnet. "MODELING EXPERIMENTAL DATA WITH POLYNOMIALS CHAOS." Probability in the Engineering and Informational Sciences 34, no. 1 (August 14, 2018): 14–26. http://dx.doi.org/10.1017/s026996481800030x.
Full textGibson, Nathan L. "A Polynomial Chaos Method for Dispersive Electromagnetics." Communications in Computational Physics 18, no. 5 (November 2015): 1234–63. http://dx.doi.org/10.4208/cicp.230714.100315a.
Full textRajendran, Karthikeyan, Andreas C. Tsoumanis, Constantinos I. Siettos, Carlo R. Laing, and Ioannis G. Kevrekidis. "MODELING HETEROGENEITY IN NETWORKS USING POLYNOMIAL CHAOS." International Journal for Multiscale Computational Engineering 14, no. 3 (2016): 291–302. http://dx.doi.org/10.1615/intjmultcompeng.2016015897.
Full textShi, Wenjie, and Daniel M. Tartakovsky. "Polynomial Chaos Expansions for Stiff Random ODEs." SIAM Journal on Scientific Computing 44, no. 3 (May 2, 2022): A1021—A1046. http://dx.doi.org/10.1137/21m1432545.
Full textChe, Yiming, Ziqi Guo, and Changqing Cheng. "Generalized polynomial chaos-informed efficient stochastic Kriging." Journal of Computational Physics 445 (November 2021): 110598. http://dx.doi.org/10.1016/j.jcp.2021.110598.
Full textFox, Jamie, and Giray Ökten. "Polynomial Chaos as a Control Variate Method." SIAM Journal on Scientific Computing 43, no. 3 (January 2021): A2268—A2294. http://dx.doi.org/10.1137/20m1336515.
Full textDodson, Michael, and Geoffrey T. Parks. "Robust Aerodynamic Design Optimization Using Polynomial Chaos." Journal of Aircraft 46, no. 2 (March 2009): 635–46. http://dx.doi.org/10.2514/1.39419.
Full textLevajkovic, Tijana, Hermann Mena, and Lena-Maria Pfurtscheller. "Solving Stochastic LQR Problems by Polynomial Chaos." IEEE Control Systems Letters 2, no. 4 (October 2018): 641–46. http://dx.doi.org/10.1109/lcsys.2018.2844730.
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