RECENT DEVELOPMENTS IN THE NUMERICAL SIMULATION OF SHALLOW WATER EQUATIONS II: TEMPORAL DISCRETIZATION-Reference-Cited by-同舟云学术

RECENT DEVELOPMENTS IN THE NUMERICAL SIMULATION OF SHALLOW WATER EQUATIONS II: TEMPORAL DISCRETIZATION

Published:1994-08 Issue:04 Volume:04 Page:533-556
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

AGOSHKOV V.¹²,OVCHINNIKOV E.¹²,QUARTERONI A.¹³,SALERI F.²

Affiliation:

1. Institute of Numerical Mathematics, Russian Academy of Sciences, Russia

2. CRS4, Centro di Ricerca, Sviluppo e Studi Superiori in Sardegna, Italy

3. Dipartimento di Matematica, Politecnico di Milano, Italy

Abstract

This paper deals with time-advancing schemes for shallow water equations. We review some of the existing numerical approaches, propose new schemes and investigate their stability. We present numerical results obtained using the time-advancing schemes proposed, with finite element and finite difference approximation in space variables.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202594000303

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