@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",

address = "Germany",

note = "European Conference on Numerical Mathematics and Advanced Applications : ENUMATH 2017, ENUMATH 2017 ; Conference date: 25-09-2017 Through 29-09-2017",

}