1. Explicit multivariate approximations from cell-average data

   • Sergio Amat
   • David Levin
   • Dionisio F. Yáñez

   OriginalPaper Open access 12 December 2022 Article: 85

2. Approximation of functions from Korobov spaces by deep convolutional neural networks

   • Tong Mao
   • Ding-Xuan Zhou

   OriginalPaper Open access 07 December 2022 Article: 84

3. A theoretical study of a bilateral term with a tensor-based fourth-order PDE for image super-resolution

   • El Mourabit Idriss
   • Amine Laghrib
   • Abdelilah Hakim

   OriginalPaper 05 December 2022 Article: 83

4. Sharp error estimate of Grünwald-Letnikov scheme for a multi-term time fractional diffusion equation

   • Dewei Cao
   • Hu Chen

   OriginalPaper 29 November 2022 Article: 82

5. Weighted positive nonlinear finite volume method for dominated anisotropic diffusive equations

   • Cindy Guichard
   • El Houssaine Quenjel

   OriginalPaper 18 November 2022 Article: 81

6. Rectangular eigenvalue problems

   • Behnam Hashemi
   • Yuji Nakatsukasa
   • Lloyd N. Trefethen

   OriginalPaper Open access 16 November 2022 Article: 80

7. Error analysis for physics-informed neural networks (PINNs) approximating Kolmogorov PDEs

   • Tim De Ryck
   • Siddhartha Mishra

   OriginalPaper Open access 15 November 2022 Article: 79

8. Virtual element method for the quasilinear convection-diffusion-reaction equation on polygonal meshes

   • M. Arrutselvi
   • E. Natarajan
   • S. Natarajan

   OriginalPaper 14 November 2022 Article: 78

9. Simultaneous identification of initial value and source strength in a transmission problem for a parabolic equation

   • Shuli Chen
   • Daijun Jiang
   • Haibing Wang

   OriginalPaper 14 November 2022 Article: 77

10. A new framework for polynomial approximation to differential equations

    • Luigi Brugnano
    • Gianluca Frasca-Caccia
    • Vincenzo Vespri

    OriginalPaper Open access 14 November 2022 Article: 76

11. Data-driven uncertainty quantification in macroscopic traffic flow models

    • Alexandra Würth
    • Mickaël Binois
    • Simone Göttlich

    OriginalPaper 10 November 2022 Article: 75

12. Control strategies for transport networks under demand uncertainty

    • Simone Göttlich
    • Thomas Schillinger

    OriginalPaper Open access 10 November 2022 Article: 74

13. Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery

    • Tim Keil
    • Hendrik Kleikamp
    • Mario Ohlberger

    OriginalPaper Open access 09 November 2022 Article: 73

14. Nonlocal optimized schwarz methods for time-harmonic electromagnetics

    • Xavier Claeys
    • Francis Collino
    • Emile Parolin

    OriginalPaper Open access 09 November 2022 Article: 72

15. An O(N) algorithm for computing expectation of N-dimensional truncated multi-variate normal distribution II: computing moments and sparse grid acceleration

    • Chaowen Zheng
    • Zhuochao Tang
    • Yichao Wu

    OriginalPaper 02 November 2022 Article: 71

16. Error estimates for mixed and hybrid FEM for elliptic optimal control problems with penalizations

    • Gilbert Peralta

    OriginalPaper 02 November 2022 Article: 70

17. Stable interpolation with exponential-polynomial splines and node selection via greedy algorithms

    • R. Campagna
    • S. De Marchi
    • G. Santin

    OriginalPaper Open access 27 October 2022 Article: 69