RECENT DEVELOPMENTS IN THE NUMERICAL-SIMULATION OF SHALLOW-WATER EQUATIONS .2. TEMPORAL DISCRETIZATION

Authors
AGOSHKOV V OVCHINNIKOV E QUARTERONI A SALERI F
Citation
V. Agoshkov et al., RECENT DEVELOPMENTS IN THE NUMERICAL-SIMULATION OF SHALLOW-WATER EQUATIONS .2. TEMPORAL DISCRETIZATION, Mathematical models and methods in applied sciences, 4(4), 1994, pp. 533-556
Citations number
29
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical models and methods in applied sciences → ACNP
ISSN journal
02182025
Volume
4
Issue
4
Year of publication
1994
Pages
533 - 556
Database
ISI
SICI code
0218-2025(1994)4:4<533:RDITNO>2.0.ZU;2-Y
Abstract
This paper deals with time-advancing schemes for shallow water equatio ns. We review some of the existing numerical approaches, propose new s chemes and investigate their stability. We present numerical results o btained using the time-advancing schemes proposed, with finite element and finite difference approximation in space variables.