Search Results

• The Effects of Spatial Reconstruction and Flux Solver on the Performance of High-Order Finite-Volume Compressible Flow Solvers

  Chengxiang Li, Xing Ji, Kun Xu, Lian-Ping Wang

  2025-07-11

  5409 647 Pages:37-73

• High-Order Hybrid WCNS-CPR Schemes on Hybrid Meshes with Curved Edges for Conservation Laws I: Spatial Accuracy and Geometric Conservation Laws

  Huajun Zhu, Zhenguo Yan, Huayong Liu, Meiliang Mao, Xiaogang Deng

  2018-08-21

  48084 3560 Pages:1355-1392

• High Order Well-Balanced Weighted Compact Nonlinear Schemes for Shallow Water Equations

  Zhen Gao, Guanghui Hu

  2017-10-02

  46553 3368 Pages:1049-1068

• A New Approach of High Order Well-Balanced Finite Volume WENO Schemes and Discontinuous Galerkin Methods for a Class of Hyperbolic Systems with Source Terms

  Y. Xing & C.-W. Shu

  2018-03-22

  41947 4589 Pages:100-134

• High-Order Low Dissipation Conforming Finite-Element Discretization of the Maxwell Equations

  Sebastien Jund, Stephanie Salmon, Eric Sonnendruecker

  2012-11-01

  42244 3992 Pages:863-892

• Stability of Projection Methods for Incompressible Flows Using High Order Pressure-Velocity Pairs of Same Degree: Continuous and Discontinuous Galerkin Formulations

  E. Ferrer, D. Moxey, R. H. J. Willden, S. J. Sherwin

  2014-12-08

  39658 4109 Pages:817-840

• New Unconditionally Stable Schemes for the Navier-Stokes Equations

  Hui Yao, Mejdi Azaiez, Chuanju Xu

  2021-08-10

  49160 3151 Pages:1083-1117

• High Order Numerical Schemes for Second-Order FBSDEs with Applications to Stochastic Optimal Control

  Weidong Zhao, Tao Zhou, Tao Kong

  2018-04-09

  41277 3130 Pages:808-834

• High Order Fixed-Point Sweeping WENO Methods for Steady State of Hyperbolic Conservation Laws and Its Convergence Study

  Liang Wu, Yong-Tao Zhang, Shuhai Zhang, Chi-Wang Shu

  2018-04-04

  40586 3219 Pages:835-869

• High Order Bound- and Positivity-Preserving Finite Difference Affine-Invariant AWENO Scheme for the Five-Equation Model of Two-Medium Flows

  Zhen Gao, Shuang Guo, Bao-Shan Wang, Yaguang Gu

  2024-10-09

  15737 1274 Pages:781-820

• A Novel High-Order Shock-Capturing Limiter for RKDG Method on Unstructured Meshes via TENO Selection Strategies

  Haohan Huang, Tian Liang, Mingduo Yuan, Lin Fu

  2026-02-15

  4083 200 Pages:387-416

• Directly Simulation of Second Order Hyperbolic Systems in Second Order Form via the Regularization Concept

  Hassan Yousefi, Seyed Shahram Ghorashi, Timon Rabczuk

  2018-04-04

  42387 4772 Pages:86-135

• A New Mapped WENO Scheme Using Order-Preserving Mapping

  Ruo Li, Wei Zhong

  2022-01-27

  43782 3302 Pages:548-592

• On the Spurious Mode Generation Induced by Spectral-Like Optimized Interpolation Schemes Used in Computational Acoustics

  Guilherme Cunha, Stephane Redonnet

  2018-04-04

  39730 3179 Pages:325-352

• The First- and Second-Order Energy Stable, Mass Conservative and Bounds-Preserving Schemes for Two-Phase Incompressible Flow with Rock Compressibility

  Yujing Yan, Huangxin Chen, Xiaoli Li

  2026-01-18

  819 174 Pages:1332-1362

• Approximate Riemann Solvers and Robust High-Order Finite Volume Schemes for Multi-Dimensional Ideal MHD Equations

  Franz Georg Fuchs, Andrew D. McMurry, Siddhartha Mishra, Nils Henrik Risebro, Knut Waagan

  2018-03-27

  38048 3802 Pages:324-362

• Genuinely Multidimensional Physical-Constraints-Preserving Finite Volume Schemes for the Special Relativistic Hydrodynamics

  Dan Ling, Huazhong Tang

  2023-11-08

  31242 2715 Pages:955-992

• High-Order Local Discontinuous Galerkin Method with Multi-Resolution WENO Limiter for Navier-Stokes Equations on Triangular Meshes

  Yizhou Lu, Jun Zhu, Shengzhu Cui, Zhenming Wang, Linlin Tian, Ning Zhao

  2023-06-06

  42403 3166 Pages:1217-1239

• Arbitrarily High-Order (Weighted) Essentially Non-Oscillatory Finite Difference Schemes for Anelastic Flows on Staggered Meshes

  Siddhartha Mishra, Carlos Parés-Pulido, Kyle G. Pressel

  2021-03-24

  45050 3353 Pages:1299-1335

• Quinpi: Integrating Stiff Hyperbolic Systems with Implicit High Order Finite Volume Schemes

  Gabriella Puppo, Matteo Semplice, Giuseppe Visconti

  2024-07-29

  26956 1830 Pages:30-70

• A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids

  Yifei Wan, Yinhua Xia

  2023-06-06

  47452 3097 Pages:1270-1331

• Non-Oscillatory Hierarchical Reconstruction for Central and Finite Volume Schemes

  Yingjie Liu, Chi-Wang Shu, Eitan Tadmor, Mengping Zhang

  2007-02-01

  38271 3963 Pages:933-963

• High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes

  Weijie Zhang, Yulong Xing, Yinhua Xia, Yan Xu

  2022-03-03

  47989 3248 Pages:771-815

• A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations

  Kaipeng Wang, Andrew Christlieb, Yan Jiang, Mengping Zhang

  2020-11-26

  46444 4465 Pages:237-264

• Asymptotic Preserving Spectral Deferred Correction Methods for Hyperbolic Systems with Relaxation

  Chong Sun, Yinhua Xia

  2019-04-04

  46202 3378 Pages:531-557

• Probabilistic High Order Numerical Schemes for Fully Nonlinear Parabolic PDEs

  Tao Kong, Weidong Zhao, Tao Zhou

  2020-07-30

  39423 3388 Pages:1482-1503

• Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes

  Walter Boscheri, Michael Dumbser, Elena Gaburro

  2022-07-06

  42374 3773 Pages:259-298