Sloan, Ian H.

1. Multilevel Quasi-Monte Carlo methods for lognormal diffusion problems
   2015/07/04 by Frances Y. Kuo, Frances Kuo, Kuo, Frances Y. +9 · 4 citations
   Decision Sciences · Mathematics · #Probabilistic and Robust Engineering Design #Mathematical Approximation and Integration #Statistical Methods and Inference
2. High dimensional integration of kinks and jumps -- smoothing by\n preintegration
   2017/12/04 by Andreas Griewank, Griewank, Andreas, Frances Y. Kuo +5 · 3 citations
   Economics, Econometrics and Finance · Mathematics · #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Approximation and Integration #Numerical Analysis (math.NA) #Stochastic processes and financial applications
3. Fast component-by-component construction of lattice algorithms for\n multivariate approximation with POD and SPOD weights
   2019/10/15 by Ronald Cools, Frances Y. Kuo, Cools, Ronald +5 · 3 citations
   Mathematics · Computer Science · #Mathematical Approximation and Integration #Digital Image Processing Techniques #Machine Learning and Algorithms
4. Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters
   2019/10/15 by Cools, Ronald, Kuo, Frances Y., Nuyens, Dirk +1 · 3 citations
   #41A10 #41A15 #65D30 #65D32 #65T40 #FOS: Mathematics #Numerical Analysis (math.NA)
5. Analysis of circulant embedding methods for sampling stationary random fields
   2017/10/02 by Graham, Ivan G., Kuo, Frances Y., Nuyens, Dirk +2 · 2 citations
   #60G10 #60G60 #65C05 #65C60 #FOS: Mathematics #Numerical Analysis (math.NA)
6. Uncertainty Quantification Using Periodic Random Variables
   2019/05/19 by Vesa Kaarnioja, V. Kaarnioja, Kaarnioja, Vesa +6 · 4 citations
   Decision Sciences · Mathematics · Computer Science · #Probabilistic and Robust Engineering Design #Mathematical Approximation and Integration #Numerical Methods and Algorithms
7. Circulant embedding with QMC -- analysis for elliptic PDE with lognormal coefficients
   2017/10/25 by Graham, Ivan G., Kuo, Frances Y., Nuyens, Dirk +2 · 2 citations
   #35Q86 #60G10 #60G60 #65C05 #65C60 #65D32 #FOS: Mathematics #Numerical Analysis (math.NA)
8. Analysis of quasi-Monte Carlo methods for elliptic eigenvalue problems\n with stochastic coefficients
   2018/08/08 by Alexander D. Gilbert, Gilbert, Alexander D., Ivan G. Graham +7 · 2 citations
   Decision Sciences · Mathematics · #Probabilistic and Robust Engineering Design #Mathematical Approximation and Integration
9. Needlets Liberated
   2022/07/26 by Brauchart, Johann S., Grabner, Peter J., Sloan, Ian H. +1 · 2 citations
   #65D32 #FOS: Mathematics #Numerical Analysis (math.NA) #Primary 42C10 #Secondary 41A25
10. Fully discrete needlet approximation on the sphere
    2015/02/20 by Wang, Yu Guang, Gia, Quoc T. Le, Sloan, Ian H. +1 · 1 citation
    #33C55 #42C40 #43A90 #65D32 #FOS: Mathematics #Numerical Analysis (math.NA)
11. Needlet approximation for isotropic random fields on the sphere
    2015/12/24 by Gia, Quoc T. Le, Sloan, Ian H., Wang, Yu Guang +1 · 1 citation
    #33G55 #41A25 #42C40 #60G15 #60G60 #65D32 #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR)
12. Quasi-Monte Carlo finite element analysis for wave propagation in heterogeneous random media
    2020/04/26 by M. Ganesh, Frances Y. Kuo, Ganesh, M. +3 · 1 citation
    Decision Sciences · Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Mathematical Approximation and Integration #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design
13. Preintegration is not smoothing when monotonicity fails
    2021/12/22 by Gilbert, Alexander D., Kuo, Frances Y., Sloan, Ian H. · 2 citations
    #FOS: Mathematics #Numerical Analysis (math.NA)
14. Lattice-based kernel approximation and serendipitous weights for parametric PDEs in very high dimensions
    2023/03/31 by Kaarnioja, Vesa, Kuo, Frances Y., Sloan, Ian H. · 1 citation
    #FOS: Mathematics #Numerical Analysis (math.NA)
15. Uncertainty quantification for random domains using periodic random variables
    2022/10/31 by Hakula, Harri, Harbrecht, Helmut, Kaarnioja, Vesa +2 · 1 citation
    #35R60 #65D30 #65D32 #FOS: Mathematics #Numerical Analysis (math.NA)
16. Minimal Subsampled Rank-1 Lattices for Multivariate Approximation with Optimal Convergence Rate
    2025/06/09 by Bartel, Felix, Gilbert, Alexander D., Kuo, Frances Y. +1 · 3 citations
    #41A25 #94A20 #FOS: Mathematics #Numerical Analysis (math.NA)
17. Quasi-Monte Carlo methods for uncertainty quantification of wave propagation and scattering problems modelled by the Helmholtz equation
    2025/02/18 by Graham, Ivan G., Kuo, Frances Y., Nuyens, Dirk +2 · 1 citation
    #35Q86 #60G60 #65D30 #65D32 #65N30 #FOS: Mathematics #Numerical Analysis (math.NA)
18. Regularity and tailored regularization of Deep Neural Networks, with application to parametric PDEs in uncertainty quantification
    2025/02/18 by Keller, Alexander, Kuo, Frances Y., Nuyens, Dirk +1 · 1 citation
    #35R60 #65D32 #65D40 #68T07 #FOS: Mathematics #Numerical Analysis (math.NA)