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Found 10,224 Documents (Results 1–100)

Discovering Artificial Viscosity Models for Discontinuous Galerkin Approximation of Conservation Laws using Physics-Informed Machine Learning. arXiv:2402.16517

Preprint, arXiv:2402.16517 [math.NA] (2024).
MSC:  35L65 65M60 68T01
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Graph-based methods for hyperbolic systems of conservation laws using discontinuous space discretizations, Part I: building blocks. arXiv:2402.04514

Preprint, arXiv:2402.04514 [math.NA] (2024).
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Lie symmetries, conservation laws and exact solutions of a generalized quasilinear KdV equation with degenerate dispersion. arXiv:2402.04484

Preprint, arXiv:2402.04484 [nlin.SI] (2024).
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Existence of vanishing physical viscosity solutions of characteristic initial-boundary value problems for systems of conservation laws. arXiv:2401.14865

Preprint, arXiv:2401.14865 [math.AP] (2024).
MSC:  35L65 35B30
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Essentially non-oscillatory schemes using the entropy rate criterion. (English) Zbl 07802991

Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 2. Hyperbolic and related problems. FVCA10, Strasbourg, France, October 30 – November 3, 2023. Cham: Springer. Springer Proc. Math. Stat. 433, 219-227 (2023).
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Uncertainty propagation of the shock position for hyperbolic PDEs using a sensitivity equation method. (English) Zbl 07802981

Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 2. Hyperbolic and related problems. FVCA10, Strasbourg, France, October 30 – November 3, 2023. Cham: Springer. Springer Proc. Math. Stat. 433, 131-139 (2023).
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Existence and uniqueness of solution for semi-linear conservation laws with velocity field in \(L ^\infty \). (English) Zbl 07801372

Diagana, Toka (ed.) et al., Partial differential equations and applications. Colloquium in honor of Hamidou Touré, Ouagadougou, Burkina Faso, November 5–9, 2018. Cham: Springer. Springer Proc. Math. Stat. 420, 1-36 (2023).
MSC:  35L65 35L50 35L60
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Moving-mesh finite-volume methods for hyperbolic interface dynamics. (English) Zbl 07781693

Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 111-127 (2023).
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A review of Cartesian grid active flux methods for hyperbolic conservation laws. (English) Zbl 07781692

Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 93-109 (2023).
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