TY - GEN
T1 - A numerical method for the hemker problem
AU - Hegarty, Alan F.
AU - O’Riordan, Eugene
N1 - Publisher Copyright:
© Springer Nature Switzerland AG 2020.
PY - 2020
Y1 - 2020
N2 - We construct a new numerical method comprising upwind finite difference operators on asymptotically appropriate Shishkin meshes to obtain a numerical approximation to the solution of the Hemker problem. Numerical results indicate that the numerical approximations are computationally uniformly convergent with respect to the small parameter ε.
AB - We construct a new numerical method comprising upwind finite difference operators on asymptotically appropriate Shishkin meshes to obtain a numerical approximation to the solution of the Hemker problem. Numerical results indicate that the numerical approximations are computationally uniformly convergent with respect to the small parameter ε.
UR - http://www.scopus.com/inward/record.url?scp=85089724565&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-41800-7_6
DO - 10.1007/978-3-030-41800-7_6
M3 - Conference contribution
AN - SCOPUS:85089724565
SN - 9783030417994
T3 - Lecture Notes in Computational Science and Engineering
SP - 97
EP - 111
BT - Boundary and Interior Layers, Computational and Asymptotic Methods, BAIL 2018
A2 - Barrenechea, Gabriel R.
A2 - Mackenzie, John
PB - Springer
T2 - International Conference on Boundary and Interior Layers, BAIL 2018
Y2 - 18 June 2018 through 22 June 2018
ER -