Multilevel Monte Carlo Finite Volume Methods for Shallow Water Equations with Uncertain Topography in Multi-dimensions

S. Mishra; Ch. Schwab; J. Šukys

doi:10.1137/110857295

Multilevel Monte Carlo Finite Volume Methods for Shallow Water Equations with Uncertain Topography in Multi-dimensions

SIAM Journal on Scientific Computing ◽

10.1137/110857295 ◽

2012 ◽

Vol 34 (6) ◽

pp. B761-B784 ◽

Cited By ~ 21

Author(s):

S. Mishra ◽

Ch. Schwab ◽

J. Šukys

Keyword(s):

Monte Carlo ◽

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Finite Volume Methods ◽

Multilevel Monte Carlo

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Sediment transport models in Shallow Water equations and numerical approach by high order finite volume methods

Computers & Fluids ◽

10.1016/j.compfluid.2007.07.017 ◽

2008 ◽

Vol 37 (3) ◽

pp. 299-316 ◽

Cited By ~ 87

Author(s):

M.J. Castro Díaz ◽

E.D. Fernández-Nieto ◽

A.M. Ferreiro

Keyword(s):

Sediment Transport ◽

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Numerical Approach ◽

Finite Volume Methods ◽

High Order ◽

Transport Models

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Closure to “A remark on finite volume methods for 2D shallow water equations over irregular bottom topography” by Cristiana Di Cristo, Massimo Greco, Michele Iervolino, Riccardo Martino and Andrea Vacca

Journal of Hydraulic Research ◽

10.1080/00221686.2021.1944925 ◽

2021 ◽

Vol 59 (6) ◽

pp. 1038-1039

Author(s):

Cristiana Di Cristo ◽

Massimo Greco ◽

Michele Iervolino ◽

Riccardo Martino ◽

Andrea Vacca

Keyword(s):

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Bottom Topography ◽

Finite Volume Methods ◽

2D Shallow Water Equations

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Adaptation of f-wave finite volume methods to the two-layer shallow-water equations in a moving vessel with a rigid-lid

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.09.026 ◽

2016 ◽

Vol 296 ◽

pp. 462-479 ◽

Cited By ~ 5

Author(s):

H. Alemi Ardakani ◽

T.J. Bridges ◽

M.R. Turner

Keyword(s):

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Finite Volume Methods ◽

F Wave

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Central Unstaggered Finite Volume Methods for Shallow Water Equations

10.1063/1.2790204 ◽

2007 ◽

Cited By ~ 1

Author(s):

Rony Touma ◽

Theodore E. Simos ◽

George Psihoyios ◽

Ch. Tsitouras

Keyword(s):

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Finite Volume Methods

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A remark on finite volume methods for 2D shallow water equations over irregular bottom topography

Journal of Hydraulic Research ◽

10.1080/00221686.2020.1744752 ◽

2020 ◽

pp. 1-8

Author(s):

Cristiana Di Cristo ◽

Massimo Greco ◽

Michele Iervolino ◽

Riccardo Martino ◽

Andrea Vacca

Keyword(s):

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Bottom Topography ◽

Finite Volume Methods ◽

2D Shallow Water Equations

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Multi-level Monte Carlo finite volume method for shallow water equations with uncertain parameters applied to landslides-generated tsunamis

Applied Mathematical Modelling ◽

10.1016/j.apm.2015.03.011 ◽

2015 ◽

Vol 39 (23-24) ◽

pp. 7211-7226 ◽

Cited By ~ 7

Author(s):

C. Sánchez-Linares ◽

M. de la Asunción ◽

M.J. Castro ◽

S. Mishra ◽

J. Šukys

Keyword(s):

Monte Carlo ◽

Shallow Water ◽

Finite Volume Method ◽

Finite Volume ◽

Shallow Water Equations ◽

Uncertain Parameters ◽

Multi Level ◽

Volume Method

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HIGH-RESOLUTION FINITE VOLUME METHODS FOR THE SHALLOW WATER EQUATIONS WITH BATHYMETRY AND DRY STATES

Advances in Coastal and Ocean Engineering - Advanced Numerical Models for Simulating Tsunami Waves and Runup ◽

10.1142/9789812790910_0002 ◽

2008 ◽

pp. 43-73 ◽

Cited By ~ 23

Author(s):

Randall J. LeVeque ◽

David L. George

Keyword(s):

High Resolution ◽

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Finite Volume Methods

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A STUDY OF WELL-BALANCED FINITE VOLUME METHODS AND REFINEMENT INDICATORS FOR THE SHALLOW WATER EQUATIONS

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972713000750 ◽

2013 ◽

Vol 88 (2) ◽

pp. 351-352 ◽

Cited By ~ 10

Author(s):

SUDI MUNGKASI

Keyword(s):

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Finite Volume Methods

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The significance of spatial reconstruction in finite volume methods for the shallow water equations

Applied Mathematical Sciences ◽

10.12988/ams.2014.4124 ◽

2014 ◽

Vol 8 ◽

pp. 1411-1420 ◽

Cited By ~ 2

Author(s):

Noor Hidayat ◽

Suhariningsih ◽

Agus Suryanto ◽

Sudi Mungkasi

Keyword(s):

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Finite Volume Methods ◽

Spatial Reconstruction

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A remark on finite volume methods for 2D shallow water equations over irregular bottom topography By Cristiana Di Cristo, Massimo Greco, Michele Iervolino, Riccardo Martino and Andrea Vacca

Journal of Hydraulic Research ◽

10.1080/00221686.2021.1944924 ◽

2021 ◽

Vol 59 (6) ◽

pp. 1036-1037

Author(s):

Xin Liu ◽

Shangzhi Chen

Keyword(s):

Shallow Water ◽

Finite Volume ◽

Shallow Water Equations ◽

Bottom Topography ◽

Finite Volume Methods ◽

2D Shallow Water Equations

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