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Applied Numerical Mathematics 93 150 (2015)
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Runge–Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes

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Journal of Computational Physics 227 (9) 4330 (2008)
DOI: 10.1016/j.jcp.2007.12.024
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Efficient seventh order WENO schemes of adaptive order for hyperbolic conservation laws

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Computers & Fluids 190 49 (2019)
DOI: 10.1016/j.compfluid.2019.06.003
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Fifth order finite volume WENO in general orthogonally - curvilinear coordinates

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Computers & Fluids 190 398 (2019)
DOI: 10.1016/j.compfluid.2019.06.031
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Mapped CWENO scheme for hyperbolic conservation laws

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Journal of Computational and Applied Mathematics 344 229 (2018)
DOI: 10.1016/j.cam.2018.05.032
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Conservative Third-Order Central-Upwind Schemes for Option Pricing Problems

Omishwary Bhatoo, Arshad Ahmud Iqbal Peer, Eitan Tadmor, Désiré Yannick Tangman and Aslam Aly El Faidal Saib
Vietnam Journal of Mathematics 47 (4) 813 (2019)
DOI: 10.1007/s10013-019-00360-8
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Assessment of a high-order MUSCL method for rotor flows

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International Journal for Numerical Methods in Fluids 87 (6) 292 (2018)
DOI: 10.1002/fld.4492
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A rezoning-free CESE scheme for solving the compressible Euler equations on moving unstructured meshes

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Journal of Computational Physics 397 108858 (2019)
DOI: 10.1016/j.jcp.2019.108858
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Numerical study on the convergence to steady-state solutions of a new class of finite volume WENO schemes: triangular meshes

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Shock Waves 29 (1) 3 (2019)
DOI: 10.1007/s00193-018-0833-1
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FLUID SIMULATION USING AN ADAPTIVE SEMI-DISCRETE CENTRAL-UPWIND SCHEME

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International Journal of Computational Methods 04 (02) 283 (2007)
DOI: 10.1142/S0219876207001035
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CWENO: Uniformly accurate reconstructions for balance laws

I. Cravero, G. Puppo, M. Semplice and G. Visconti
Mathematics of Computation 87 (312) 1689 (2017)
DOI: 10.1090/mcom/3273
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A HYBRID SCHEME FOR THREE-DIMENSIONAL INCOMPRESSIBLE TWO-PHASE FLOWS

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DOI: 10.1142/S1758825110000810
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A new third order finite volume weighted essentially non-oscillatory scheme on tetrahedral meshes

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Journal of Computational Physics 349 220 (2017)
DOI: 10.1016/j.jcp.2017.08.021
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AN EFFICIENT THIRD-ORDER SCHEME FOR THREE-DIMENSIONAL HYPERBOLIC CONSERVATION LAWS

LI CAI, JIAN-HU FENG, YU-FENG NIE and WEN-XIAN XIE
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DOI: 10.1142/S1793962312500158
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Nonoscillatory Central Schemes for Hyperbolic Systems of Conservation Laws in Three-Space Dimensions

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The Scientific World Journal 2013 1 (2013)
DOI: 10.1155/2013/672187
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A relaxation scheme for a multi-class Lighthill-Whitham-Richards traffic flow model

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Journal of Zhejiang University-SCIENCE A 10 (12) 1835 (2009)
DOI: 10.1631/jzus.A0820829
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NUMERICAL SIMULATION OF 2D LIQUID SLOSHING

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DOI: 10.1142/S1758825112500147
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Current singularities: Drivers of impulsive reconnection

A. Bhattacharjee, K. Germaschewski and C. S. Ng
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DOI: 10.1063/1.1872893
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SIAM Journal on Numerical Analysis 52 (5) 2335 (2014)
DOI: 10.1137/130947568
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A Positivity-Preserving Well-Balanced Central Discontinuous Galerkin Method for the Nonlinear Shallow Water Equations

Maojun Li, Philippe Guyenne, Fengyan Li and Liwei Xu
Journal of Scientific Computing 71 (3) 994 (2017)
DOI: 10.1007/s10915-016-0329-z
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Second-Order Fully Discrete Central-Upwind Scheme for Two-Dimensional Hyperbolic Systems of Conservation Laws

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SIAM Journal on Scientific Computing 39 (3) A947 (2017)
DOI: 10.1137/15M1038670
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A New Type of Finite Volume WENO Schemes for Hyperbolic Conservation Laws

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Journal of Scientific Computing 73 (2-3) 1338 (2017)
DOI: 10.1007/s10915-017-0486-8
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A high performance fifth‐order multistep WENO scheme

Fangjun Zeng, Yiqing Shen, Shengping Liu and Li Liu
International Journal for Numerical Methods in Fluids 91 (4) 159 (2019)
DOI: 10.1002/fld.4747
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Numerical dissipation switch for two-dimensional central-upwind schemes

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ESAIM: Mathematical Modelling and Numerical Analysis 55 (3) 713 (2021)
DOI: 10.1051/m2an/2021009
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A hybrid Hermite WENO scheme for hyperbolic conservation laws

Zhuang Zhao, Yibing Chen and Jianxian Qiu
Journal of Computational Physics 405 109175 (2020)
DOI: 10.1016/j.jcp.2019.109175
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Efficient Implementation of ADER Discontinuous Galerkin Schemes for a Scalable Hyperbolic PDE Engine

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Axioms 7 (3) 63 (2018)
DOI: 10.3390/axioms7030063
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An adaptive characteristic-wise reconstruction WENO-Z scheme for gas dynamic euler equations

Jun Peng, Chuanlei Zhai, Guoxi Ni, Heng Yong and Yiqing Shen
Computers & Fluids 179 34 (2019)
DOI: 10.1016/j.compfluid.2018.08.008
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Todd Arbogast, Chieh-Sen Huang and Xikai Zhao
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Numerical Approach of the Equilibrium Solutions of a Global Climate Model

Arturo Hidalgo and Lourdes Tello
Mathematics 8 (9) 1542 (2020)
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Hari Nagarajan, Frank Lu and Luca Massa
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Kilian Cooley and James D. Baeder
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DOI: 10.2514/6.2018-0067
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Chunhua Sheng, Qiuying Zhao, Dongdong Zhong and Ning Ge
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DOI: 10.2514/6.2019-2955
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Anil Kapahi, Shiv Kumar Sambasivan and H UdayKumar
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Essentially non-oscillatory and weighted essentially non-oscillatory schemes

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Acta Numerica 29 701 (2020)
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Jianzhong Chen, Zhongke Shi and Yanmei Hu
262 (2009)
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A modified central discontinuous Galerkin method with positivity-preserving and well-balanced properties for the one-dimensional nonlinear shallow water equations

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Journal of Computational and Applied Mathematics 345 374 (2019)
DOI: 10.1016/j.cam.2018.06.033
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A new type of multi-resolution WENO schemes with increasingly higher order of accuracy

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Journal of Computational Physics 375 659 (2018)
DOI: 10.1016/j.jcp.2018.09.003
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High order direct Arbitrary-Lagrangian-Eulerian (ALE) PP schemes with WENO Adaptive-Order reconstruction on unstructured meshes

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Journal of Computational Physics 398 108899 (2019)
DOI: 10.1016/j.jcp.2019.108899
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New Finite Volume Weighted Essentially Nonoscillatory Schemes on Triangular Meshes

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SIAM Journal on Scientific Computing 40 (2) A903 (2018)
DOI: 10.1137/17M1112790
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Central Weighted ENO Schemes for Hyperbolic Conservation Laws on Fixed and Moving Unstructured Meshes

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DOI: 10.1137/17M1111036
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Optimal Definition of the Nonlinear Weights in Multidimensional Central WENOZ Reconstructions

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DOI: 10.1137/18M1228232
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A new type of multi-resolution WENO schemes with increasingly higher order of accuracy on triangular meshes

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Journal of Computational Physics 392 19 (2019)
DOI: 10.1016/j.jcp.2019.04.027
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Absolutely convergent fixed-point fast sweeping WENO methods for steady state of hyperbolic conservation laws

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Journal of Computational Physics 443 110516 (2021)
DOI: 10.1016/j.jcp.2021.110516
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BGK models for inert mixtures: Comparison and applications

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DOI: 10.3934/krm.2021029
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Improved non-staggered central NT schemes for balance laws with geometrical source terms

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DOI: 10.1002/fld.790
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DOI: 10.1016/j.jcp.2019.109167
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Third‐ and fourth‐order well‐balanced schemes for the shallow water equations based on the CWENO reconstruction

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DOI: 10.1002/fld.4700
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DOI: 10.1007/978-3-319-99689-9_5
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Journal of Computational Physics 422 109766 (2020)
DOI: 10.1016/j.jcp.2020.109766
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Central WENO Schemes Through a Global Average Weight

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Journal of Scientific Computing 78 (1) 499 (2019)
DOI: 10.1007/s10915-018-0773-z
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Fourth-order accurate finite-volume CWENO scheme for astrophysical MHD problems

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DOI: 10.1093/mnras/sty2641
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Well-balanced central WENO schemes for the sediment transport model in shallow water

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DOI: 10.1007/s10596-018-9724-x
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DOI: 10.1007/1-4020-3197-1_11
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Progress in Turbulence

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Trends and Applications of Mathematics to Mechanics

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Trends and Applications of Mathematics to Mechanics 225 (2005)
DOI: 10.1007/88-470-0354-7_18
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Well-Balanced Bottom Discontinuities Treatment for High-Order Shallow Water Equations WENO Scheme

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Hermite WENO Schemes and Their Application as Limiters for Runge-Kutta Discontinuous Galerkin Method, III: Unstructured Meshes

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Implementation of semi-discrete, non-staggered central schemes in a colocated, polyhedral, finite volume framework, for high-speed viscous flows

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International Journal for Numerical Methods in Fluids n/a (2009)
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High-order central Hermite WENO schemes: Dimension-by-dimension moment-based reconstructions

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DOI: 10.1016/j.jcp.2016.05.005
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High-order central Hermite WENO schemes on staggered meshes for hyperbolic conservation laws

Zhanjing Tao, Fengyan Li and Jianxian Qiu
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Hyperbolic Problems: Theory, Numerics, Applications

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Hyperbolic Problems: Theory, Numerics, Applications 929 (2008)
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Mathematics in Industry, Progress in Industrial Mathematics at ECMI 2006 12 226 (2008)
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A semi-Lagrangian finite difference WENO scheme for scalar nonlinear conservation laws

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Journal of Computational Physics 322 559 (2016)
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Staggered Finite Difference Schemes for Conservation Laws

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Hyperbolic Problems: Theory, Numerics, Applications

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Hyperbolic Problems: Theory, Numerics, Applications 819 (2003)
DOI: 10.1007/978-3-642-55711-8_77
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Hyperbolic Problems: Theory, Numerics, Applications

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Hyperbolic Problems: Theory, Numerics, Applications 821 (2001)
DOI: 10.1007/978-3-0348-8372-6_35
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Hyperbolic Problems: Theory, Numerics, Applications

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Hyperbolic Problems: Theory, Numerics, Applications 79 (2003)
DOI: 10.1007/978-3-642-55711-8_6
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Hyperbolic Problems: Theory, Numerics, Applications

Eitan Tadmor and Jared Tanner
Hyperbolic Problems: Theory, Numerics, Applications 871 (2003)
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Numerical Mathematics and Advanced Applications 45 (2003)
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Computers & Fluids 183 53 (2019)
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Application of a fourth-order relaxation scheme to hyperbolic systems of conservation laws

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Divergence-Free WENO Reconstruction-Based Finite Volume Scheme for Solving Ideal MHD Equations on Triangular Meshes

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Hyperbolic Partial Differential Equations

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Hyperbolic Partial Differential Equations 59 (2002)
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DOI: 10.1016/j.camwa.2019.06.034
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Compatibility of Reservoir Sediment Flushing and River Protection

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A new method towards high-order weno schemes on structured and unstructured grids

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A hybrid ENO reconstruction with limiters for systems of hyperbolic conservation laws

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A HWENO reconstruction based high-order compact gas-kinetic scheme on unstructured mesh

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Multidimensional smoothness indicators for first-order Hamilton-Jacobi equations

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A Modified Third-Order Semi-Discrete Central-Upwind Scheme for MHD Simulation

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Chinese Physics Letters 28 (7) 075205 (2011)
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Novel functional weights for improving the third‐order WENO schemes

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High Order ADER Schemes for Continuum Mechanics

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DOI: 10.3389/fphy.2020.00032
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High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on triangular meshes

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DOI: 10.1016/j.apnum.2020.03.013
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Simple smoothness indicator and multi-level adaptive order WENO scheme for hyperbolic conservation laws

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DOI: 10.1016/j.jcp.2018.09.027
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Convergence to Steady-State Solutions of the New Type of High-Order Multi-resolution WENO Schemes: a Numerical Study

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Multi-resolution HWENO schemes for hyperbolic conservation laws

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Journal of Computational Physics 446 110653 (2021)
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An Implicit Eulerian–Lagrangian WENO3 Scheme for Nonlinear Conservation Laws

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A HIGH ORDER CENTRAL-UPWIND SCHEME FOR HYPERBOLIC CONSERVATION LAWS

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A Hermite WENO scheme with artificial linear weights for hyperbolic conservation laws

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Journal of Computational Physics 417 109583 (2020)
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A Hybrid Finite Difference WENO-ZQ Fast Sweeping Method for Static Hamilton–Jacobi Equations

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Journal of Scientific Computing 83 (3) (2020)
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Semi-discrete central-upwind Rankine-Hugoniot schemes for hyperbolic systems of conservation laws

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Journal of Computational Physics 428 110078 (2021)
DOI: 10.1016/j.jcp.2020.110078
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Improving Accuracy of the Fifth-Order WENO Scheme by Using the Exponential Approximation Space

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SIAM Journal on Numerical Analysis 59 (1) 143 (2021)
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Simulation of THz Oscillations in Semiconductor Devices Based on Balance Equations

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Journal of Scientific Computing 85 (1) (2020)
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An efficient targeted ENO scheme with local adaptive dissipation for compressible flow simulation

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Journal of Computational Physics 425 109902 (2021)
DOI: 10.1016/j.jcp.2020.109902
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Conservative semi-Lagrangian schemes for kinetic equations Part I: Reconstruction

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Journal of Computational Physics 432 110159 (2021)
DOI: 10.1016/j.jcp.2021.110159
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High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters

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Journal of Computational Physics 404 109105 (2020)
DOI: 10.1016/j.jcp.2019.109105
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High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension

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Journal of Computational Physics 426 109898 (2021)
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Inverse transfer of magnetic helicity in direct numerical simulations of compressible isothermal turbulence: scaling laws

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Journal of Fluid Mechanics 915 (2021)
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High order pressure-based semi-implicit IMEX schemes for the 3D Navier-Stokes equations at all Mach numbers

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Journal of Computational Physics 434 110206 (2021)
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An Eulerian–Lagrangian WENO finite volume scheme for advection problems

Chieh-Sen Huang, Todd Arbogast and Jianxian Qiu
Journal of Computational Physics 231 (11) 4028 (2012)
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Numerical study on the convergence to steady state solutions of a new class of high order WENO schemes

Jun Zhu and Chi-Wang Shu
Journal of Computational Physics 349 80 (2017)
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A new type of third-order finite volume multi-resolution WENO schemes on tetrahedral meshes

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Journal of Computational Physics 406 109212 (2020)
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High order finite volume schemes with IMEX time stepping for the Boltzmann model on unstructured meshes

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Computer Methods in Applied Mechanics and Engineering 387 114180 (2021)
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Maximum principle and positivity-preserving high order spectral volume schemes with parametrized flux limiters for solving hyperbolic conservation laws

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