### Abstract

Language | English |
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Title of host publication | Numerical Mathematics and Advanced Applications ENUMATH 2017 |

Editors | F.A. Radu, K. Kumar, I. Berre, J.M. Nordbotten, I.S. Pop |

Place of Publication | Cham |

Publisher | Springer |

Pages | 1015-1023 |

Number of pages | 9 |

ISBN (Electronic) | 978-3-319-96415-7 |

ISBN (Print) | 978-3-319-96414-0 |

DOIs | |

State | Published - 2019 |

Event | European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017 - Voss, Norway Duration: 25 Sep 2017 → 29 Sep 2017 |

### Publication series

Name | Lecture Notes in Computational Science and Engineering |
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Volume | 126 |

### Conference

Conference | European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017 |
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Country | Norway |

City | Voss |

Period | 25/09/17 → 29/09/17 |

### Fingerprint

### Cite this

*Numerical Mathematics and Advanced Applications ENUMATH 2017*(pp. 1015-1023). (Lecture Notes in Computational Science and Engineering; Vol. 126). Cham: Springer. DOI: 10.1007/978-3-319-96415-7_96

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*Numerical Mathematics and Advanced Applications ENUMATH 2017.*Lecture Notes in Computational Science and Engineering, vol. 126, Springer, Cham, pp. 1015-1023, European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017, Voss, Norway, 25/09/17. DOI: 10.1007/978-3-319-96415-7_96

**Nonlinear flux approximation scheme for Burgers equation derived from a local BVP.** / ten Thije Boonkkamp, J.H.M.; Kumar, N.; Koren, B.; van der Woude, D.A.M.; Linke, A.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Nonlinear flux approximation scheme for Burgers equation derived from a local BVP

AU - ten Thije Boonkkamp,J.H.M.

AU - Kumar,N.

AU - Koren,B.

AU - van der Woude,D.A.M.

AU - Linke,A.

PY - 2019

Y1 - 2019

N2 - We present a novel flux approximation scheme for the viscous Burgers equation. The numerical flux is computed from a local two-point boundary value problem for the stationary equation and requires the iterative solution of a nonlinear equation depending on the local boundary values and the viscosity. In the inviscid limit the scheme reduces to the Godunov numerical flux.

AB - We present a novel flux approximation scheme for the viscous Burgers equation. The numerical flux is computed from a local two-point boundary value problem for the stationary equation and requires the iterative solution of a nonlinear equation depending on the local boundary values and the viscosity. In the inviscid limit the scheme reduces to the Godunov numerical flux.

U2 - 10.1007/978-3-319-96415-7_96

DO - 10.1007/978-3-319-96415-7_96

M3 - Conference contribution

SN - 978-3-319-96414-0

T3 - Lecture Notes in Computational Science and Engineering

SP - 1015

EP - 1023

BT - Numerical Mathematics and Advanced Applications ENUMATH 2017

PB - Springer

CY - Cham

ER -