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Loubère, Raphaël; Macca, Emanuele; Parés, Carlos; Russo, Giovanni

CAT-MOOD methods for conservation laws in one space dimension. (English) Zbl 07921374

Parés, Carlos (ed.) et al., Hyperbolic problems: theory, numerics, applications, HYP2022. Proceedings of the XVIII international conference, Málaga, Spain, June 20–24, 2022. Volume II. Cham: Springer. SEMA SIMAI Springer Ser. 35, 171-183 (2024).

MSC: 65-XX 35L65

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Frolkovič, Peter; Gajdošová, Nikola

Unconditionally stable higher order semi-implicit level set method for advection equations. (English) Zbl 07832809

Appl. Math. Comput. 466, Article ID 128460, 20 p. (2024).

MSC: 65M06 35L03 35L60

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Chouchoulis, Jeremy; Schütz, Jochen

Jacobian-free implicit MDRK methods for stiff systems of ODEs. (English) Zbl 1535.65098

Appl. Numer. Math. 196, 45-61 (2024).

MSC: 65L06 65L04 65L05 65L20 34A34

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Macca, Emanuele; Loubère, Raphaël; Parés, Carlos; Russo, Giovanni

An almost fail-safe a-posteriori limited high-order CAT scheme. (English) Zbl 07797629

J. Comput. Phys. 498, Article ID 112650, 29 p. (2024).

MSC: 76Mxx 65Mxx 35Lxx

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Frolkovič, Peter; Žeravý, Michal

High resolution compact implicit numerical scheme for conservation laws. (English) Zbl 1511.65081

Appl. Math. Comput. 442, Article ID 127720, 17 p. (2023).

MSC: 65M06 35L65 65M08 65M12 65M20

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Carrillo, H.; Macca, E.; Parés, Carlos; Russo, G.

Well-balanced adaptive compact approximate Taylor methods for systems of balance laws. (English) Zbl 07660341

J. Comput. Phys. 478, Article ID 111979, 51 p. (2023).

MSC: 65Mxx 76Mxx 35Lxx

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Chouchoulis, Jeremy; Schütz, Jochen; Zeifang, Jonas

Jacobian-free explicit multiderivative Runge-Kutta methods for hyperbolic conservation laws. (English) Zbl 1486.65098

J. Sci. Comput. 90, No. 3, Paper No. 96, 24 p. (2022).

MSC: 65M06 65L06 65M20 65M12 35L65

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Carrillo, H.; Macca, E.; Parés, C.; Russo, G.; Zorío, D.

An order-adaptive compact approximation Taylor method for systems of conservation laws. (English) Zbl 07505954

J. Comput. Phys. 438, Article ID 110358, 31 p. (2021).

MSC: 65Mxx 35Lxx 76Mxx

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Carrillo, H.; Parés, C.; Zorío, D.

Lax-Wendroff approximate Taylor methods with fast and optimized weighted essentially non-oscillatory reconstructions. (English) Zbl 1475.65065

J. Sci. Comput. 86, No. 1, Paper No. 15, 41 p. (2021).

Reviewer: Bülent Karasözen (Ankara)

MSC: 65M06 35L02 65L06

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Abreu, Eduardo; Díaz, Ciro; Galvis, Juan; Pérez, John

On the conservation properties in multiple scale coupling and simulation for Darcy flow with hyperbolic-transport in complex flows. (English) Zbl 1454.35271

Multiscale Model. Simul. 18, No. 4, 1375-1408 (2020).

MSC: 35Q35 35J20 35L67 76M12 76M10 76L05 76S05

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Found 10 Documents (Results 1–10)

CAT-MOOD methods for conservation laws in one space dimension. (English) Zbl 07921374

Unconditionally stable higher order semi-implicit level set method for advection equations. (English) Zbl 07832809

Jacobian-free implicit MDRK methods for stiff systems of ODEs. (English) Zbl 1535.65098

An almost fail-safe a-posteriori limited high-order CAT scheme. (English) Zbl 07797629

High resolution compact implicit numerical scheme for conservation laws. (English) Zbl 1511.65081

Well-balanced adaptive compact approximate Taylor methods for systems of balance laws. (English) Zbl 07660341

Jacobian-free explicit multiderivative Runge-Kutta methods for hyperbolic conservation laws. (English) Zbl 1486.65098

An order-adaptive compact approximation Taylor method for systems of conservation laws. (English) Zbl 07505954

Lax-Wendroff approximate Taylor methods with fast and optimized weighted essentially non-oscillatory reconstructions. (English) Zbl 1475.65065

On the conservation properties in multiple scale coupling and simulation for Darcy flow with hyperbolic-transport in complex flows. (English) Zbl 1454.35271

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