ENO-discretizations in MOL-applications: Some examples in river hydraulics
type: Item
instance of: scholarly article
title: ENO-discretizations in MOL-applications: Some examples in river hydraulics
zbMATH Open document ID: 0936.76056
DOI: 10.1016/S0168-9274(98)00049-X
author: Michael Hilden
author: Gerd Steinebach
published in: Applied Numerical Mathematics
publication date: 1999-07-19T00:00:00Z
review text: We develop numerical schemes that are applicable to mostly hydrological simulations and well-tested with respect to their stability and efficiency. The method of lines (MOL)-approach is found to be a suitable numerical technique to solve the whole class of the discussed problems. We also present the comparison of different numerical schemes for the space discretizations in the MOL-approach, in particular the ENO-discretizations which are found to be very useful even when sharp gradients occur.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76B10
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 86-08
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 1311282
zbMATH Keywords: hydrological processes
zbMATH Keywords: parabolic and hyperbolic systems in one dimension
zbMATH Keywords: method of lines
zbMATH Keywords: ENO-discretizations
zbMATH Keywords: sharp gradients
MaRDI profile type: Publication
cites work: Q4000061
cites work: ENO schemes with subcell resolution
cites work: Uniformly high order accurate essentially non-oscillatory schemes. III
cites work: Uniformly High-Order Accurate Nonoscillatory Schemes. I
cites work: A study of numerical methods for hyperbolic conservation laws with stiff source terms
cites work: Model and numerical techniques for the alarm system of river Rhine
cites work: Q4023226
cites work: Efficient implementation of essentially nonoscillatory shock-capturing schemes
cites work: Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
cites work: Q3659005
cites work: Q3245994
cites work: Q4308973
cites work: Q4308979
description: scientific article; zbMATH DE number 1311282