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Cited article:
Remi Abgrall , Wasilij Barsukow
ESAIM: M2AN, 57 2 (2023) 991-1027
Published online: 2023-04-07
This article has been cited by the following article(s):
20 articles
Virtual finite element and hyperbolic problems: The PAMPA algorithm
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Robust PAMPA scheme in the DG formulation on unstructured triangular meshes: Bound preservation, oscillation elimination, and boundary conditions
Rémi Abgrall and Yongle Liu Journal of Computational Physics 561 114962 (2026) https://doi.org/10.1016/j.jcp.2026.114962
On general and complete multidimensional Riemann solvers for nonlinear systems of hyperbolic conservation laws
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Embedding general conservation constraints in discretizations of hyperbolic systems on arbitrary meshes: A multi-dimensional framework
Rémi Abgrall, Pierre-Henri Maire and Mario Ricchiuto Mathematical Models and Methods in Applied Sciences 36 (02) 243 (2026) https://doi.org/10.1142/S0218202526400014
On the Stability Barrier of Hermite Type Discretizations of Advection Equations
Xianyi Zeng Numerical Methods for Partial Differential Equations 42 (1) (2026) https://doi.org/10.1002/num.70059
Algorithms of very high space–time orders of accuracy for hyperbolic equations in the semidiscrete WENO–DeC framework
Lorenzo Micalizzi and Eleuterio F. Toro Journal of Computational Physics 538 114167 (2025) https://doi.org/10.1016/j.jcp.2025.114167
A Semi-discrete Active Flux Method for the Euler Equations on Cartesian Grids
Rémi Abgrall, Wasilij Barsukow and Christian Klingenberg Journal of Scientific Computing 102 (2) (2025) https://doi.org/10.1007/s10915-024-02749-1
Active Flux Methods for Hyperbolic Conservation Laws—Flux Vector Splitting and Bound-Preservation
Junming Duan, Wasilij Barsukow and Christian Klingenberg SIAM Journal on Scientific Computing 47 (2) A811 (2025) https://doi.org/10.1137/24M1658887
Rémi Abgrall, Alina Chertock, Alexander Kurganov and Lorenzo Micalizzi (2025) https://doi.org/10.2139/ssrn.5243762
An Arbitrarily High-Order Fully Well-balanced Hybrid Finite Element–Finite Volume Method for a One-dimensional Blood Flow Model
Yongle Liu and Wasilij Barsukow SIAM Journal on Scientific Computing 47 (4) A2041 (2025) https://doi.org/10.1137/24M1676223
Analysis of the Multi-dimensional Semi-discrete Active Flux Method Using the Fourier Transform
Wasilij Barsukow, Janina Kern, Christian Klingenberg and Lisa Lechner Communications on Applied Mathematics and Computation (2025) https://doi.org/10.1007/s42967-025-00512-3
A Novel and Simple Invariant-Domain-Preserving Framework for PAMPA Scheme: 1D Case
Rémi Abgrall, Miaosen Jiao, Yongle Liu and Kailiang Wu SIAM Journal on Scientific Computing 47 (6) A3536 (2025) https://doi.org/10.1137/24M1715015
Rémi Abgrall and Yongle Liu (2025) https://doi.org/10.2139/ssrn.5863280
Implicit Active Flux Methods for Linear Advection
Wasilij Barsukow and Raul Borsche Journal of Scientific Computing 98 (3) (2024) https://doi.org/10.1007/s10915-023-02433-w
A node-conservative vorticity preserving finite volume method for linear acoustics on unstructured grids
Wasilij Barsukow, Raphaël Loubère and Pierre-Henri Maire Mathematics of Computation 94 (355) 2299 (2024) https://doi.org/10.1090/mcom/4020
Active Flux Methods for Hyperbolic Systems Using the Method of Bicharacteristics
Erik Chudzik, Christiane Helzel and Mária Lukáčová-Medvid’ová Journal of Scientific Computing 99 (1) (2024) https://doi.org/10.1007/s10915-024-02462-z
A Positivity-Preserving Active Flux Method for the Vlasov-Poisson System
Yanick Kiechle, Erik Chudzik and Christiane Helzel Journal of Computational Physics 113693 (2024) https://doi.org/10.1016/j.jcp.2024.113693
An explicit fourth‐order hybrid‐variable method for Euler equations with a residual‐consistent viscosity
Xianyi Zeng Numerical Methods for Partial Differential Equations 40 (6) (2024) https://doi.org/10.1002/num.23146
Mathematical Challenges for the Theory of Hyperbolic Balance Laws in Fluid Mechanics: Complexity, Scales, Randomness
Mária Lukáčová-Medvid’ová and Christian Rohde Jahresbericht der Deutschen Mathematiker-Vereinigung 126 (4) 283 (2024) https://doi.org/10.1365/s13291-024-00290-6
Rémi Abgrall 432 3 (2023) https://doi.org/10.1007/978-3-031-40864-9_1