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• A Well-Balanced Partial Relaxation Scheme for the Two-Dimensional Saint-Venant System

  Xi Chen, Alexander Kurganov

  2023-06-06

  37529 2738 Pages:1432-1465

• 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

  47752 3186 Pages:771-815

• A Well-Balanced Gas Kinetic Scheme for Navier-Stokes Equations with Gravitational Potential

  Songze Chen, Zhaoli Guo, Kun Xu

  2020-07-21

  47407 3252 Pages:902-926

• Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term

  Farah Kanbar, Rony Touma, Christian Klingenberg

  2022-09-29

  40742 3109 Pages:878-898

• Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations

  Yangyang Cao, Alexander Kurganov, Yongle Liu

  2023-11-08

  30459 2555 Pages:993-1042

• A Positivity-Preserving and Well-Balanced High Order Compact Finite Difference Scheme for Shallow Water Equations

  Baifen Ren, Zhen Gao, Yaguang Gu, Shusen Xie, Xiangxiong Zhang

  2024-03-13

  25510 2118 Pages:524-552

• One-Dimensional Blood Flow with Discontinuous Properties and Transport: Mathematical Analysis and Numerical Schemes

  Alessandra Spilimbergo, Eleuterio F. Toro, Lucas O. Müller

  2021-01-13

  47441 3360 Pages:649-697

• A High Order Central DG Method of the Two-Layer Shallow Water Equations

  Yongping Cheng, Haiyun Dong, Maojun Li, Weizhi Xian

  2020-08-27

  48957 3169 Pages:1437-1463

• Second Order Finite Volume Scheme for Euler Equations with Gravity which is Well-Balanced for General Equations of State and Grid Systems

  Jonas P. Berberich, Praveen Chandrashekar, Christian Klingenberg & Friedrich K. Röpke

  2019-04-04

  49579 3340 Pages:599-630

• High Order Asymptotic Preserving Well-Balanced Finite Difference WENO Schemes for All-Mach Full Euler Equations with Gravity

  Guanlan Huang, Yulong Xing, Tao Xiong

  2025-09-05

  3486 291 Pages:1130-1172

• Capturing Near-Equilibrium Solutions: A Comparison Between High-Order Discontinuous Galerkin Methods and Well-Balanced Schemes

  Maria Han Veiga, David A. Velasco-Romero, Rémi Abgrall & Romain Teyssier

  2019-02-25

  46053 5164 Pages:1-34

• A Well-Balanced and Non-Negative Numerical Scheme for Solving the Integrated Shallow Water and Solute Transport Equations

  Qiuhua Liang

  2010-07-01

  39840 4294 Pages:1049-1075

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

  Zhen Gao & Guanghui Hu

  2017-10-02

  46409 3316 Pages:1049-1068

• A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations

  Min Zhang, Weizhang Huang, Jianxian Qiu

  2021-12-06

  49083 3851 Pages:94-130