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Mathematics

D-Index
31
Citations
6655
World Ranking
3280
National Ranking
200

Overview

Erich Novak is affiliated with Friedrich Schiller University Jena in Germany and specializes in the field of Mathematics, with a focus on Numerical Analysis, Statistics and Probability, Applied Mathematics, Artificial Intelligence, and Algebra and Number Theory.

Their research spans various topics, primarily concentrating on Mathematical Approximation and Integration. Additional areas of work include Statistical Methods and Inference, Analytic Number Theory Research, Medical Imaging Techniques and Applications, Machine Learning and Algorithms, Matrix Theory and Algorithms, and Advanced Numerical Methods in Computational Mathematics.

Novak has contributed extensively to the Journal of Complexity, with a total of 35 publications in this venue. Other frequent publication venues include arXiv (Cornell University) with 10 papers, Transactions of the American Mathematical Society, Mathematics of Computation, and the Journal of Approximation Theory.

Selected recent papers authored or co-authored by Novak include:

  • Random sections of ellipsoids and the power of random information (2021), Transactions of the American Mathematical Society
  • Lower bounds for integration and recovery in L2 (2022), Journal of Complexity
  • Recovery of Sobolev functions restricted to iid sampling (2022), Mathematics of Computation
  • Randomized approximation of summable sequences - adaptive and non-adaptive (2024), Journal of Approximation Theory
  • The curse of dimensionality for the L-discrepancy with finite p (2023), Journal of Complexity

Frequent collaborators of Novak include David Krieg, Friedrich Pillichshammer, Henryk Woźniakowski, Aicke Hinrichs, and Mario Ullrich.

Best Publications

  • High dimensional polynomial interpolation on sparse grids

    Volker Barthelmann;Erich Novak;Klaus Ritter

  • Tractability of Multivariate Problems

    Henryk Woźniakowski

  • Tractability of Multivariate Problems Volume II: Standard Information for Functionals

    Erich Novak;Henryk Woźniakowski

  • Deterministic and Stochastic Error Bounds in Numerical Analysis

    Erich Novak

  • High dimensional integration of smooth functions over cubes

    Erich Novak;Klaus Ritter

  • Tractability of Multivariate Problems: Volume I: Linear Information

    Erich Novak;Henryk Woźniakowski

  • Simple Cubature Formulas with High Polynomial Exactness

    Erich Novak;Klaus Ritter

  • Tractability of Multivariate Problems, Volume III: Standard Information for Operators.

    Erich Novak;Henryk Woźniakowski

  • The inverse of the star-discrepancy depends linearly on the dimension

    Stefan Heinrich;Henryk Woźniakowski;Grzegorz W. Wasilkowski;Erich Novak

  • The Curse of Dimension and a Universal Method For Numerical Integration

    Erich Novak;Klaus Ritter

  • Monte Carlo-Algorithmen

    Thomas Müller-Gronbach;Erich Novak;Klaus Ritter

  • Quantum Complexity of Integration

    Erich Novak

  • Approximation of infinitely differentiable multivariate functions is intractable

    Erich Novak;Henryk Woniakowski

  • Function Spaces in Lipschitz Domains and Optimal Rates of Convergence for Sampling

    Erich Novak;Hans Triebel

  • Intractability Results for Integration and Discrepancy

    Erich Novak;H. Woźniakowski

  • The Real Number Model in Numerical Analysis

    E. Novak

  • On the power of adaption

    Erich Novak

  • Optimal approximation of elliptic problems by linear and nonlinear mappings I

    Stephan Dahlke;Erich Novak;Winfried Sickel

  • Foundations of Computational Mathematics: When are integration and discrepancy tractable?

    Unknown

  • Tractability of Approximation for Weighted Korobov Spaces on Classical and Quantum Computers

    Erich Novak;Ian H. Sloan;Henryk Wo’zniakowski

  • Optimal Order of Convergence and (In)Tractability of Multivariate Approximation of Smooth Functions

    Erich Novak;Henryk Woźniakowski;Henryk Woźniakowski

  • The curse of dimensionality for numerical integration of smooth functions

    A. Hinrichs;E. Novak;M. Ullrich;H. Woźniakowski

Frequent Co-Authors

Henryk Woźniakowski
Henryk Woźniakowski University of Warsaw
Ian H. Sloan
Ian H. Sloan University of New South Wales
Joseph F. Traub
Joseph F. Traub Columbia University
Winfried Sickel
Winfried Sickel Friedrich Schiller University Jena
Stephan Dahlke
Stephan Dahlke Philipp University of Marburg
Josef Dick
Josef Dick University of New South Wales
Vladimir Temlyakov
Vladimir Temlyakov Lomonosov Moscow State University
Hans Triebel
Hans Triebel Friedrich Schiller University Jena

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