1. FMM-Accelerated Solvers for the Laplace–Beltrami Problem on Complex Surfaces in Three Dimensions

   • Dhwanit Agarwal
   • Michael O’Neil
   • Manas Rachh

   OriginalPaper 15 September 2023 Article: 25

   

2. The Well-Posedness and Discontinuous Galerkin Approximation for the Non-Newtonian Stokes–Darcy–Forchheimer Coupling System

   • Jingyan Hu
   • Guanyu Zhou

   OriginalPaper 15 September 2023 Article: 24

   

3. A Second Order Accurate, Positivity Preserving Numerical Method for the Poisson–Nernst–Planck System and Its Convergence Analysis

   • Chun Liu
   • Cheng Wang
   • Shenggao Zhou

   OriginalPaper 12 September 2023 Article: 23

   

4. The Second Boundary Value Problem for a Discrete Monge–Ampère Equation

   • Gerard Awanou

   OriginalPaper 12 September 2023 Article: 22

   

5. A FEAST SVDsolver Based on Chebyshev–Jackson Series for Computing Partial Singular Triplets of Large Matrices

   • Zhongxiao Jia
   • Kailiang Zhang

   OriginalPaper 12 September 2023 Article: 21

   

6. A Fully Discrete High-Order Fast Multiscale Galerkin Method for Solving Boundary Integral Equations in a Domain with Corners

   • Yiying Fang
   • Ying Jiang

   OriginalPaper 12 September 2023 Article: 20

   

7. A Finite Element Method for the Dynamical Ginzburg–Landau Equations under Coulomb Gauge

   • Huadong Gao
   • Wen Xie

   OriginalPaper 10 September 2023 Article: 19

   

8. An Unconditionally Energy Stable and Positive Upwind DG Scheme for the Keller–Segel Model

   • Daniel Acosta-Soba
   • Francisco Guillén-González
   • J. Rafael Rodríguez-Galván

   OriginalPaper Open access 09 September 2023 Article: 18

   

9. Preconditioning Technique Based on Sine Transformation for Nonlocal Helmholtz Equations with Fractional Laplacian

   • Tian-Yi Li
   • Fang Chen
   • Tao Sun

   OriginalPaper 09 September 2023 Article: 17

   

10. VI-DGP: A Variational Inference Method with Deep Generative Prior for Solving High-Dimensional Inverse Problems

    • Yingzhi Xia
    • Qifeng Liao
    • Jinglai Li

    OriginalPaper 07 September 2023 Article: 16

    

11. Corrected L-type Method for Multi-singularity Problems Arising from Delay Fractional Equations

    • Dakang Cen
    • Caixia Ou
    • Seakweng Vong

    OriginalPaper 07 September 2023 Article: 15

    

12. Unfitted Finite Element Methods for Axisymmetric Two-Phase Flow

    • Harald Garcke
    • Robert Nürnberg
    • Quan Zhao

    OriginalPaper 07 September 2023 Article: 14

    

13. Applications of Limiters, Neural Networks and Polynomial Annihilation in Higher-Order FD/FV Schemes

    • Dorian Hillebrand
    • Simon-Christian Klein
    • Philipp Öffner

    OriginalPaper Open access 07 September 2023 Article: 13

    

14. Numerical Investigations on Trace Finite Element Methods for the Laplace–Beltrami Eigenvalue Problem

    • Song Lu
    • Xianmin Xu

    OriginalPaper 07 September 2023 Article: 12

    

15. Optimal Parameters for Numerical Solvers of PDEs

    • Gianluca Frasca-Caccia
    • Pranav Singh

    OriginalPaper Open access 07 September 2023 Article: 11

    

16. Polynomial Total Positivity and High Relative Accuracy Through Schur Polynomials

    • P. Díaz
    • E. Mainar
    • B. Rubio

    Review Open access 28 August 2023 Article: 10

    

17. Thermodynamically Compatible Discretization of a Compressible Two-Fluid Model with Two Entropy Inequalities

    • Andrea Thomann
    • Michael Dumbser

    OriginalPaper 27 August 2023 Article: 9

    

18. Multidimensional WENO-AO Reconstructions Using a Simplified Smoothness Indicator and Applications to Conservation Laws

    • Chieh-Sen Huang
    • Todd Arbogast
    • Chenyu Tian

    OriginalPaper Open access 24 August 2023 Article: 8

    

19. Second-Order Semi-Lagrangian Exponential Time Differencing Method with Enhanced Error Estimate for the Convective Allen–Cahn Equation

    • Jingwei Li
    • Rihui Lan
    • Xiaoqiang Wang

    OriginalPaper 23 August 2023 Article: 7

    

20. A Fast Solver for Generalized Optimal Transport Problems Based on Dynamical System and Algebraic Multigrid

    • Jun Hu
    • Hao Luo
    • Zihang Zhang

    OriginalPaper 18 August 2023 Article: 6

    

21. Finite Element Discretizations for Variable-Order Fractional Diffusion Problems

    • Wenyu Lei
    • George Turkiyyah
    • Omar Knio

    OriginalPaper Open access 16 August 2023 Article: 5

    

22. Multiple-Relaxation Runge Kutta Methods for Conservative Dynamical Systems

    • Abhijit Biswas
    • David I. Ketcheson

    OriginalPaper 14 August 2023 Article: 4

    

23. Proximal Gradient/Semismooth Newton Methods for Projection onto a Polyhedron via the Duality-Gap-Active-Set Strategy

    • Yunlong Wang
    • Chungen Shen
    • Wei Hong Yang

    OriginalPaper 14 August 2023 Article: 3

    

24. Quantifying the Structural Stability of Simplicial Homology

    • Nicola Guglielmi
    • Anton Savostianov
    • Francesco Tudisco

    OriginalPaper Open access 14 August 2023 Article: 2

    

25. Nonconforming Finite Element Methods of Order Two and Order Three for the Stokes Flow in Three Dimensions

    • Wei Chen
    • Jun Hu
    • Min Zhang

    OriginalPaper 14 August 2023 Article: 1