1. A sparse approximation for fractional Fourier transform

   • Fang Yang
   • Jiecheng Chen
   • Jiman Zhao

   OriginalPaper 20 May 2024 Article: 50

2. Error analysis of a collocation method on graded meshes for a fractional Laplacian problem

   • Minghua Chen
   • Weihua Deng
   • Martin Stynes

   OriginalPaper 20 May 2024 Article: 49

3. An adaptive certified space-time reduced basis method for nonsmooth parabolic partial differential equations

   • Marco Bernreuther
   • Stefan Volkwein

   OriginalPaper Open access 15 May 2024 Article: 48

4. Local behaviors of Fourier expansions for functions of limited regularities

   • Shunfeng Yang
   • Shuhuang Xiang

   OriginalPaper 09 May 2024 Article: 47

5. Optimally convergent mixed finite element methods for the time-dependent 2D/3D stochastic closed-loop geothermal system with multiplicative noise

   • Xinyue Gao
   • Yi Qin
   • Jian Li

   OriginalPaper 08 May 2024 Article: 46

6. A Lagrangian approach for solving an axisymmetric thermo-electromagnetic problem. Application to time-varying geometry processes

   • Marta Benítez
   • Alfredo Bermúdez
   • Pilar Salgado

   OriginalPaper Open access 08 May 2024 Article: 45

7. Stray field computation by inverted finite elements: a new method in micromagnetic simulations

   • Tahar Z. Boulmezaoud
   • Keltoum Kaliche

   OriginalPaper 07 May 2024 Article: 44

   

8. Unconditional superconvergence analysis of a structure-preserving finite element method for the Poisson-Nernst-Planck equations

   • Huaijun Yang
   • Meng Li

   OriginalPaper 06 May 2024 Article: 43

9. Dominant subspaces of high-fidelity polynomial structured parametric dynamical systems and model reduction

   • Pawan Goyal
   • Igor Pontes Duff
   • Peter Benner

   OriginalPaper Open access 03 May 2024 Article: 42

10. On the maximum principle and high-order, delay-free integrators for the viscous Cahn–Hilliard equation

    • Hong Zhang
    • Gengen Zhang
    • Songhe Song

    OriginalPaper 03 May 2024 Article: 41

11. Fast numerical integration of highly oscillatory Bessel transforms with a Cauchy type singular point and exotic oscillators

    • Hongchao Kang
    • Qi Xu
    • Guidong Liu

    OriginalPaper 02 May 2024 Article: 40

12. Inverse problem for determining free parameters of a reduced turbulent transport model for tokamak plasma

    • Louis Lamérand
    • Didier Auroux
    • Eric Serre

    OriginalPaper 02 May 2024 Article: 39

13. Computation of Laplacian eigenvalues of two-dimensional shapes with dihedral symmetry

    • David Berghaus
    • Robert Stephen Jones
    • Danylo Radchenko

    OriginalPaper Open access 02 May 2024 Article: 38

14. Spatial best linear unbiased prediction: a computational mathematics approach for high dimensional massive datasets

    • Julio Enrique Castrillón-Candás

    OriginalPaper 30 April 2024 Article: 37

    

15. Hermite kernel surrogates for the value function of high-dimensional nonlinear optimal control problems

    • Tobias Ehring
    • Bernard Haasdonk

    OriginalPaper Open access 29 April 2024 Article: 36

16. Stability analysis for electromagnetic waveguides. Part 2: non-homogeneous waveguides

    • Leszek Demkowicz
    • Jens M. Melenk
    • Stefan Henneking

    OriginalPaper 29 April 2024 Article: 35

17. Energy stable and maximum bound principle preserving schemes for the Allen-Cahn equation based on the Saul’yev methods

    • Xuelong Gu
    • Yushun Wang
    • Wenjun Cai

    OriginalPaper 29 April 2024 Article: 34

18. Error estimates for POD-DL-ROMs: a deep learning framework for reduced order modeling of nonlinear parametrized PDEs enhanced by proper orthogonal decomposition

    • Simone Brivio
    • Stefania Fresca
    • Andrea Manzoni

    OriginalPaper Open access 24 April 2024 Article: 33

19. Dictionary-based model reduction for state estimation

    • Anthony Nouy
    • Alexandre Pasco

    OriginalPaper 24 April 2024 Article: 32

20. Artificial neural networks with uniform norm-based loss functions

    • Vinesha Peiris
    • Vera Roshchina
    • Nadezda Sukhorukova

    OriginalPaper Open access 23 April 2024 Article: 31

    

21. The improvement of the truncated Euler-Maruyama method for non-Lipschitz stochastic differential equations

    • Weijun Zhan
    • Yuyuan Li

    OriginalPaper 22 April 2024 Article: 30

22. The adjoint double layer potential on smooth surfaces in \(\mathbb {R}^3\) and the Neumann problem

    • J. Thomas Beale
    • Michael Storm
    • Svetlana Tlupova

    OriginalPaper 19 April 2024 Article: 29

23. \(\mathcal {H}_2\) optimal rational approximation on general domains

    • Alessandro Borghi
    • Tobias Breiten

    OriginalPaper 18 April 2024 Article: 28