PATSYM

PATSYM: A set of Fortran subroutines, with sample driver program, for the numerical integration of a vector of integrals over a hyper-rectangular region. This software uses the integration rules described in the paper by Alan Genz, Fully Symmetric Interpolatory Rules for Multiple Integrals, SIAM J. Numer. Anal. 23 (1986), pp. 1273-1283.

Keywords for this software

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References in zbMATH (referenced in 57 articles , 1 standard article )

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  1. Hartung, Tobias; Jansen, Karl; Leövey, Hernan; Volmer, Julia: Avoiding the sign problem in lattice field theory (2020)
  2. Ballreich, Dominik: Stable and efficient cubature rules by metaheuristic optimization with application to Kalman filtering (2019)
  3. Karvonen, Toni; Särkkä, Simo; Oates, Chris. J.: Symmetry exploits for Bayesian cubature methods (2019)
  4. van Zandt, James R.: Efficient cubature rules (2019)
  5. Bayer, Christian; Siebenmorgen, Markus; Tempone, Raul: Smoothing the payoff for efficient computation of basket option prices (2018)
  6. Brauchart, Johann S.: Explicit families of functions on the sphere with exactly known Sobolev space smoothness (2018)
  7. Chen, Peng: Sparse quadrature for high-dimensional integration with Gaussian measure (2018)
  8. Dong, Zhaonan; Georgoulis, Emmanuil H.; Levesley, Jeremy; Usta, Fuat: A multilevel sparse kernel-based stochastic collocation finite element method for elliptic problems with random coefficients (2018)
  9. Ernst, Oliver G.; Sprungk, Björn; Tamellini, Lorenzo: Convergence of sparse collocation for functions of countably many Gaussian random variables (with application to elliptic PDEs) (2018)
  10. Farcas, Ionut-Gabriel; Uekermann, Benjamin; Neckel, Tobias; Bungartz, Hans-Joachim: Nonintrusive uncertainty analysis of fluid-structure interaction with spatially adaptive sparse grids and polynomial chaos expansion (2018)
  11. Huang, Yulong; Zhang, Yonggang: Design of high-degree Student’s (t)-based cubature filters (2018)
  12. Karvonen, Toni; Särkkä, Simo: Fully symmetric kernel quadrature (2018)
  13. Berrone, Stefano; Pieraccini, Sandra; Scialò, Stefano: Non-stationary transport phenomena in networks of fractures: effective simulations and stochastic analysis (2017)
  14. Bourquin, Raoul: Algorithms for the construction of high-order Kronrod rule extensions with application to sparse-grid integration (2017)
  15. Kolassa, John E.; Robinson, John: Nonparametric tests for multi-parameter (M)-estimators (2017)
  16. Liao, Qinzhuo; Zhang, Dongxiao; Tchelepi, Hamdi: A two-stage adaptive stochastic collocation method on nested sparse grids for multiphase flow in randomly heterogeneous porous media (2017)
  17. Barajas-Solano, David A.; Tartakovsky, Daniel M.: Stochastic collocation methods for nonlinear parabolic equations with random coefficients (2016)
  18. Haji-Ali, Abdul-Lateef; Nobile, Fabio; Tamellini, Lorenzo; Tempone, Raúl: Multi-index stochastic collocation for random PDEs (2016)
  19. Ko, Jordan; Wynn, Henry P.: The algebraic method in quadrature for uncertainty quantification (2016)
  20. Król, Agnieszka; Ferrer, Loïc; Pignon, Jean-Pierre; Proust-Lima, Cécile; Ducreux, Michel; Bouché, Olivier; Michiels, Stefan; Rondeau, Virginie: Joint model for left-censored longitudinal data, recurrent events and terminal event: predictive abilities of tumor burden for cancer evolution with application to the FFCD 2000--05 trial (2016)

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