TY - JOUR
T1 - Finite Volume Multilevel Approximation of the Shallow Water Equations
AU - Bousquet, Arthur
AU - Marion, Martine
AU - Temam, Roger
N1 - Funding Information:
Manuscript received July 31, 2012. 1The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, IN 47405 USA. E-mail: [email protected] [email protected] 2The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, IN 47405 USA. Département Mathématique Informatique, Université de Lyon, Ecole Centrale de Lyon, CNRS UMR 5208, 36 avenue Guy de Collongue, 69134 Ecully Cedex, France. E-mail: [email protected] ∗Project supported by the National Science Foundation (Nos. DMS 0906440, DMS 1206438) and the Research Fund of Indiana University.
PY - 2013/1
Y1 - 2013/1
N2 - The authors consider a simple transport equation in one-dimensional space and the linearized shallow water equations in two-dimensional space, and describe and implement a multilevel finite-volume discretization in the context of the utilization of the incremental unknowns. The numerical stability of the method is proved in both cases.
AB - The authors consider a simple transport equation in one-dimensional space and the linearized shallow water equations in two-dimensional space, and describe and implement a multilevel finite-volume discretization in the context of the utilization of the incremental unknowns. The numerical stability of the method is proved in both cases.
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U2 - 10.1007/s11401-012-0760-x
DO - 10.1007/s11401-012-0760-x
M3 - Article
AN - SCOPUS:84873177041
SN - 0252-9599
VL - 34
SP - 1
EP - 28
JO - Chinese Annals of Mathematics. Series B
JF - Chinese Annals of Mathematics. Series B
IS - 1
ER -