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Josef Dick

  1. Good Lattice Rules in Weighted Korobov Spaces with General Weights
    2006/02/27 by Josef Dick, Ian H. Sloan, Xiaoqun Wang +1 · 14 citations
    Mathematics · #Mathematical Approximation and Integration #Mathematical functions and polynomials
  2. A weighted Discrepancy Bound of quasi-Monte Carlo Importance Sampling
    2019/01/21 by Josef Dick, Daniel Rudolf, Dick, Josef +3 · 5 citations
    Mathematics · Decision Sciences · #Mathematical Approximation and Integration #Probabilistic and Robust Engineering Design #Statistical Methods and Inference
  3. On the optimal order of integration in Hermite spaces with finite\n smoothness
    2016/08/22 by Josef Dick, Dick, Josef, Christian Irrgeher +5 · 3 citations
    Economics, Econometrics and Finance · Mathematics · #65D30 #65D32 #65Y20 #FOS: Mathematics #Mathematical Approximation and Integration #Numerical Analysis (math.NA) #Stochastic processes and financial applications
  4. Higher order Sobol' indices
    2013/06/18 by Art B. Owen, Owen, Art, Josef Dick +3 · 2 citations
    Decision Sciences · Engineering · #41A55 #62P30 #78M05 #FOS: Mathematics #Fatigue and fracture mechanics #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design #Structural Response to Dynamic Loads
  5. Higher order Quasi-Monte Carlo integration for holomorphic, parametric\n operator equations
    2014/09/07 by Josef Dick, Quôc Thông Lê Gia, Dick, Josef +3 · 3 citations
    Decision Sciences · Mathematics · Physics and Astronomy · #Probabilistic and Robust Engineering Design #Mathematical Approximation and Integration #Scientific Research and Discoveries
  6. Improved Efficiency of a Multi-Index FEM for Computational Uncertainty\n Quantification
    2018/06/11 by Josef Dick, Dick, Josef, Michael Feischl +3 · 2 citations
    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
  7. Functions of bounded variation, signed measures, and a general\n Koksma-Hlawka inequality
    2014/06/01 by Christoph Aistleitner, Aistleitner, Christoph, Josef Dick +1 · 2 citations
    Mathematics · #11K38 #26B30 #65C05 #65D30 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Approximation and Integration #Number Theory (math.NT) #Numerical Analysis (math.NA) #Probability (math.PR)
  8. Approximation of analytic functions in Korobov spaces
    2012/11/25 by Josef Dick, Peter Kritzer, Dick, Josef +5 · 1 citation
    Computer Science · Mathematics · #Advanced Computational Techniques in Science and Engineering #Approximation Theory and Sequence Spaces #FOS: Mathematics #Mathematical Approximation and Integration #Numerical Analysis (math.NA)
  9. Higher order Quasi-Monte Carlo integration for Bayesian Estimation
    2016/02/24 by Josef Dick, Robert N. Gantner, Dick, Josef +5 · 1 citation
    Decision Sciences · Engineering · Mathematics · #FOS: Mathematics #Mathematical Approximation and Integration #Nuclear reactor physics and engineering #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design
  10. Sparse grid approximation of nonlinear SPDEs: The Landau--Lifshitz--Gilbert equation
    2023/10/17 by An Xin, Josef Dick, An, Xin +7 · 2 citations
    Decision Sciences · Mathematics · #35R60 #47H40 #60H25 #60H35 #65C30 #65M15 #FOS: Mathematics #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design #Statistical Methods and Bayesian Inference #Statistical Methods and Inference
  11. Numerical integration of H "older continuous, absolutely convergent\n Fourier-, Fourier cosine-, and Walsh series
    2013/12/04 by Josef Dick, Dick, Josef · 1 citation
    Mathematics · Physics and Astronomy · #65C05 #65C10 #65D30 #65D32 #FOS: Mathematics #Mathematical Approximation and Integration #Mathematical functions and polynomials #Numerical Analysis (math.NA) #Scientific Research and Discoveries
  12. A median QMC method for unbounded integrands over \mathbb Rs in weighted unanchored Sobolev spaces
    2025/03/07 by Ziyang Ye, Josef Dick, Ye, Ziyang +3 · 2 citations
    Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Numerical methods for differential equations #Nonlinear Partial Differential Equations
  13. On the quasi-uniformity properties of quasi-Monte Carlo point sets and sequences -- Part I: Lattices and Kronecker sequences
    2025/02/10 by Josef Dick, Takashi Goda, Dick, Josef +7 · 4 citations
    Mathematics · #11J71 #11K36 #11K38 #FOS: Mathematics #Mathematical Approximation and Integration #Number Theory (math.NT)
  14. Multi-level higher order QMC Galerkin discretization for affine parametric operator equations
    2014/06/17 by Josef Dick, Dick, Josef, Frances Y. Kuo +5 · 1 citation
    Decision Sciences · Engineering · Mathematics · #65D30 #65D32 #65N30 #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Mathematical Approximation and Integration #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design
  15. A Proof of the Novak--Woźniakowski Conjecture: Optimal Polynomial Tractability Exponents for the Inverse Star Discrepancy
    2026/07/26 by Josef Dick · 1 citation
    Computer Science · Mathematics · #cs.NA #math.NA #msc:11K38 #msc:65C05 #msc:65Y20
  16. The L1-Discrepancy with Nonnegative Weights Suffers from the Curse of Dimensionality
    2026/07/27 by Josef Dick · 1 citation
    Computer Science · Mathematics · #math.NA #cs.NA #math.PR