1. Preface

   • Qing Nie
   • Chi-Wang Shu
   • Yong-Tao Zhang

   Preface 23 November 2023 Pages: 1 - 2

   

2. Sparse-Grid Implementation of Fixed-Point Fast Sweeping WENO Schemes for Eikonal Equations

   • Zachary M. Miksis
   • Yong-Tao Zhang

   Technical Note 10 October 2022 Pages: 3 - 29

   

3. Energy Stable Nodal DG Methods for Maxwell’s Equations of Mixed-Order Form in Nonlinear Optical Media

   • Maohui Lyu
   • Vrushali A. Bokil
   • Fengyan Li

   Original Paper 19 December 2022 Pages: 30 - 63

   

4. Bifurcation Analysis Reveals Solution Structures of Phase Field Models

   • Xinyue Evelyn Zhao
   • Long-Qing Chen
   • Yanxiang Zhao

   Original Paper 29 November 2022 Pages: 64 - 89

   

5. Growth of RB Population in the Conversion Phase of Chlamydia Life Cycle

   • Frederic Y. M. Wan

   Original Paper Open access 09 January 2023 Pages: 90 - 112

   

6. A High Order Accurate Bound-Preserving Compact Finite Difference Scheme for Two-Dimensional Incompressible Flow

   • Hao Li
   • Xiangxiong Zhang

   Original Paper 16 February 2023 Pages: 113 - 141

   

7. Stability Analysis of Inverse Lax-Wendroff Procedure for a High order Compact Finite Difference Schemes

   • Tingting Li
   • Jianfang Lu
   • Pengde Wang

   Original Paper 06 March 2023 Pages: 142 - 189

   

8. Bound-Preserving Discontinuous Galerkin Methods with Modified Patankar Time Integrations for Chemical Reacting Flows

   • Fangyao Zhu
   • Juntao Huang
   • Yang Yang

   Original Paper 06 February 2023 Pages: 190 - 217

   

9. Mathematical Modeling of Cell Polarity Establishment of Budding Yeast

   • Yue Liu
   • Jun Xie
   • Wing-Cheong Lo

   Review Article 13 February 2023 Pages: 218 - 235

   

10. Review of Computational Approaches to Optimization Problems in Inhomogeneous Rods and Plates

    • Weitao Chen
    • Chiu-Yen Kao

    Review 28 March 2023 Pages: 236 - 256

    

11. Superconvergence of Direct Discontinuous Galerkin Methods: Eigen-structure Analysis Based on Fourier Approach

    • Xuechun Liu
    • Haijin Wang
    • Xinghui Zhong

    Original Paper 27 March 2023 Pages: 257 - 278

    

12. A Provable Positivity-Preserving Local Discontinuous Galerkin Method for the Viscous and Resistive MHD Equations

    • Mengjiao Jiao
    • Yan Jiang
    • Mengping Zhang

    Original Paper 20 March 2023 Pages: 279 - 310

    

13. Numerical Investigations on the Resonance Errors of Multiscale Discontinuous Galerkin Methods for One-Dimensional Stationary Schrödinger Equation

    • Bo Dong
    • Wei Wang

    Original Paper 08 March 2023 Pages: 311 - 324

    

14. High Order IMEX Stochastic Galerkin Schemes for Linear Transport Equation with Random Inputs and Diffusive Scalings

    • Zheng Chen
    • Lin Mu

    Original Paper 05 June 2023 Pages: 325 - 339

    

15. A Population Dynamics Approach to the Distribution of Space Debris in Low Earth Orbit

    • John Jurkiewicz
    • Peter Hinow

    Original Paper 07 March 2023 Pages: 340 - 353

    

16. Exponential Time Differencing Method for a Reaction- Diffusion System with Free Boundary

    • Shuang Liu
    • Xinfeng Liu

    Original Paper 05 May 2023 Pages: 354 - 371

    

17. High-Order Decoupled and Bound Preserving Local Discontinuous Galerkin Methods for a Class of Chemotaxis Models

    • Wei Zheng
    • Yan Xu

    Original Paper 20 April 2023 Pages: 372 - 398

    

18. Population Dynamics in an Advective Environment

    • King-Yeung Lam
    • Ray Lee
    • Yuan Lou

    Original Paper 30 May 2023 Pages: 399 - 430

    

19. Oscillatory Dynamics of Heterogeneous Stem Cell Regeneration

    • Xiyin Liang
    • Jinzhi Lei

    Original Paper 20 April 2023 Pages: 431 - 453

    

20. A Vertex Network Model of Arabidopsis Leaf Growth

    • Luke Andrejek
    • Janet Best
    • Aman Husbands

    Original Paper 05 May 2023 Pages: 454 - 488

    

21. Nonuniform Dependence on the Initial Data for Solutions of Conservation Laws

    • John M. Holmes
    • Barbara Lee Keyfitz

    Original Paper 11 April 2023 Pages: 489 - 500

22. Adaptive Sparse Grid Discontinuous Galerkin Method: Review and Software Implementation

    • Juntao Huang
    • Wei Guo
    • Yingda Cheng

    Original Paper 07 June 2023 Pages: 501 - 532

    

23. Verification and Validation of High-Resolution Inviscid and Viscous Conical Nozzle Flows

    • Luciano K. Araki
    • Rafael B. de R. Borges
    • Chi-Wang Shu

    Original Paper 19 June 2023 Pages: 533 - 549

    

24. A Local Macroscopic Conservative (LoMaC) Low Rank Tensor Method with the Discontinuous Galerkin Method for the Vlasov Dynamics

    • Wei Guo
    • Jannatul Ferdous Ema
    • Jing-Mei Qiu

    Original Paper 10 July 2023 Pages: 550 - 575

    

25. Dynamics of Advantageous Mutant Spread in Spatial Death-Birth and Birth-Death Moran Models

    • Jasmine Foo
    • Einar Bjarki Gunnarsson
    • David Sivakoff

    Original Paper 12 June 2023 Pages: 576 - 604

    

26. Dimension by Dimension Finite Volume HWENO Method for Hyperbolic Conservation Laws

    • Feng Zheng
    • Jianxian Qiu

    Original Paper 11 July 2023 Pages: 605 - 624

    

27. Arbitrary High-Order Fully-Decoupled Numerical Schemes for Phase-Field Models of Two-Phase Incompressible Flows

    • Ruihan Guo
    • Yinhua Xia

    Original Paper 10 July 2023 Pages: 625 - 657

    

28. Stability and Time-Step Constraints of Implicit-Explicit Runge-Kutta Methods for the Linearized Korteweg-de Vries Equation

    • Joseph Hunter
    • Zheng Sun
    • Yulong Xing

    Original Paper 25 July 2023 Pages: 658 - 687

    

29. A Blade Altering Toolbox for Automating Rotor Design Optimization

    • Akiva Wernick
    • Jen-Ping Chen

    Original Paper Open access 31 July 2023 Pages: 688 - 704

    

30. Stability Analysis and Performance Evaluation of Additive Mixed-Precision Runge-Kutta Methods

    • Ben Burnett
    • Sigal Gottlieb
    • Zachary J. Grant

    Original Paper 21 December 2023 Pages: 705 - 738

    

31. Data-Driven Modeling of Partially Observed Biological Systems

    • Wei-Hung Su
    • Ching-Shan Chou
    • Dongbin Xiu

    Original Paper 13 January 2024 Pages: 739 - 754