Exactly conservative semi-Lagrangian scheme for multi-dimensional hyperbolic equations with directional splitting technique

By Takashi Nakamura, R. Tanaka, T. Yabe, Kenji Takizawa. 2001

167 citations recorded by the source corpus.

Subfields: Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/68ac603776b2fb9574209e81ed1b78b30004e435

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In Computational Mechanics

1. Jianxian Qiu
2. Chi-Wang Shu
3. Michael Dumbser
4. Bojan Niceno
5. Yohei K. Sato
6. Eleuterio F. Toro
7. Martin Käser
8. Zhijian Wang

Citations in the corpus

• Hermite WENO schemes for Hamilton-Jacobi equations (2005, unknown): “The main difference between the Hermite WENO scheme designed in [23,24], see also related earlier work in [2,7,19,28], and the traditional WENO schemes is that the former has a more compact stencil than the latter for the same order of accuracy.”
• Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: one-dimensional case (2004, background): “[20,29], and a second-order TVD scheme satisfying all entropy conditions, based on evolving both the cell average and the slope per cell, is designed in [3].”
• A conservative local interface sharpening scheme for the constrained interpolation profile method (2012, methodology): “A detailed description of the CIP-CSL2 is given in [3].”