@inproceedings{8ed337cc49174de0bd4c31d66dcfa360,
title = "Nonlinear flux approximation scheme for Burgers equation derived from a local BVP",
abstract = "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.",
author = "{ten Thije Boonkkamp}, J.H.M. and N. Kumar and B. Koren and {van der Woude}, D.A.M. and A. Linke",
year = "2019",
doi = "10.1007/978-3-319-96415-7_96",
language = "English",
isbn = "978-3-319-96414-0",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer",
pages = "1015--1023",
editor = "Radu, {Florin Adrian} and Kundan Kumar and Inga Berre and Nordbotten, {Jan Martin} and Pop, {Iuliu Sorin}",
booktitle = "Numerical Mathematics and Advanced Applications ENUMATH 2017",
note = "European Conference on Numerical Mathematics and Advanced Applications : ENUMATH 2017, ENUMATH 2017 ; Conference date: 25-09-2017 Through 29-09-2017",
}