Constructions of color schemes
Stephen D. Comer (1983)
Acta Universitatis Carolinae. Mathematica et Physica
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Stephen D. Comer (1983)
Acta Universitatis Carolinae. Mathematica et Physica
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Li, Yongkun, Zhou, Jianwen (2010)
Advances in Difference Equations [electronic only]
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Feng, Meiqiang, Zhang, Xuemei, Li, Xianggui, Ge, Weigao (2009)
Advances in Difference Equations [electronic only]
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Liu, Jian, Sang, Yanbin (2009)
Advances in Difference Equations [electronic only]
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Kyei, Yaw, Roop, John Paul, Tang, Guoqing (2010)
Advances in Numerical Analysis
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Zhao, Ya-Hong, Sun, Jian-Ping (2010)
Advances in Difference Equations [electronic only]
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Janenko, N. N.
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Mustafa, Ghulam, Khan, Faheem (2009)
Abstract and Applied Analysis
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Gordeziani, E., Gordeziani, D. (2000)
Bulletin of TICMI
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Steve Bryson, Yekaterina Epshteyn, Alexander Kurganov, Guergana Petrova (2011)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We introduce a new second-order central-upwind scheme for the Saint-Venant system of shallow water equations on triangular grids. We prove that the scheme both preserves “lake at rest” steady states and guarantees the positivity of the computed fluid depth. Moreover, it can be applied to models with discontinuous bottom topography and irregular channel widths. We demonstrate these features of the new scheme, as well as its high resolution and robustness in a number of numerical examples. ...