1. Preface to the Focused Issue on WENO Schemes

   • Sigal Gottlieb
   • Jan S. Hesthaven
   • Yong-Tao Zhang

   Preface 13 May 2022 Pages: 1 - 2

2. A New Sixth-Order WENO Scheme for Solving Hyperbolic Conservation Laws

   • Kunlei Zhao
   • Yulong Du
   • Li Yuan

   Original Paper 02 July 2021 Pages: 3 - 30

   

3. High-Order Bound-Preserving Finite Difference Methods for Multispecies and Multireaction Detonations

   • Jie Du
   • Yang Yang

   Original Paper 26 April 2021 Pages: 31 - 63

   

4. New Finite Difference Mapped WENO Schemes with Increasingly High Order of Accuracy

   • Jun Zhu
   • Jianxian Qiu

   Original Paper 23 June 2021 Pages: 64 - 96

   

5. A GPU-Accelerated Mixed-Precision WENO Method for Extremal Black Hole and Gravitational Wave Physics Computations

   • Scott E. Field
   • Sigal Gottlieb
   • Gaurav Khanna

   Original Paper 22 May 2021 Pages: 97 - 115

   

6. High-Order Semi-Lagrangian WENO Schemes Based on Non-polynomial Space for the Vlasov Equation

   • Andrew Christlieb
   • Matthew Link
   • Ruimeng Chang

   Original Paper 24 August 2021 Pages: 116 - 142

   

7. One- and Multi-dimensional CWENOZ Reconstructions for Implementing Boundary Conditions Without Ghost Cells

   • M. Semplice
   • E. Travaglia
   • G. Puppo

   Original Paper Open access 24 October 2021 Pages: 143 - 169

   

8. A High-Order Semi-Lagrangian Finite Difference Method for Nonlinear Vlasov and BGK Models

   • Linjin Li
   • Jingmei Qiu
   • Giovanni Russo

   Original Paper 10 January 2022 Pages: 170 - 198

   

9. A New Hybrid WENO Scheme with the High-Frequency Region for Hyperbolic Conservation Laws

   • Yifei Wan
   • Yinhua Xia

   Original Paper 24 November 2021 Pages: 199 - 234

   

10. Curl Constraint-Preserving Reconstruction and the Guidance it Gives for Mimetic Scheme Design

    • Dinshaw S. Balsara
    • Roger Käppeli
    • Michael Dumbser

    Original Paper Open access 01 December 2021 Pages: 235 - 294

    

11. Fifth-Order A-WENO Schemes Based on the Adaptive Diffusion Central-Upwind Rankine-Hugoniot Fluxes

    • Bao-Shan Wang
    • Wai Sun Don
    • Yongle Liu

    Original Paper 01 November 2021 Pages: 295 - 314

    

12. A Fourth-Order Unstructured NURBS-Enhanced Finite Volume WENO Scheme for Steady Euler Equations in Curved Geometries

    • Xucheng Meng
    • Yaguang Gu
    • Guanghui Hu

    Original Paper 19 October 2021 Pages: 315 - 342

    

13. Quinpi: Integrating Conservation Laws with CWENO Implicit Methods

    • G. Puppo
    • M. Semplice
    • G. Visconti

    Original Paper Open access 09 February 2022 Pages: 343 - 369

    

14. A Combination of Residual Distribution and the Active Flux Formulations or a New Class of Schemes That Can Combine Several Writings of the Same Hyperbolic Problem: Application to the 1D Euler Equations

    • R. Abgrall

    Original Paper Open access 23 March 2022 Pages: 370 - 402

    

15. A Fixed-Point Fast Sweeping WENO Method with Inverse Lax-Wendroff Boundary Treatment for Steady State of Hyperbolic Conservation Laws

    • Liang Li
    • Jun Zhu
    • Yong-Tao Zhang

    Original Paper Open access 21 March 2022 Pages: 403 - 427

    

16. Efficient WENO-Based Prolongation Strategies for Divergence-Preserving Vector Fields

    • Dinshaw S. Balsara
    • Saurav Samantaray
    • Sethupathy Subramanian

    Original Paper Open access 16 May 2022 Pages: 428 - 484

    

17. High Order Finite Difference WENO Methods for Shallow Water Equations on Curvilinear Meshes

    • Zepeng Liu
    • Yan Jiang
    • Qingyuan Liu

    Original Paper 17 March 2022 Pages: 485 - 528