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Part of the book series: NATO Security Through Science Series ((NASTC))

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Abstract

Some typical drawbacks are analyzed for numerical schemes used in environmental modeling. A new approach for constructing finite volume schemes on a cubed sphere is presented. A locally one-dimensional implicit scheme for the linear advection equation is developed and studied in detail.

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BOTCHORISHVILI, R. (2007). FINITE VOLUME SCHEMES ON CUBED SPHERE. In: Ebel, A., Davitashvili, T. (eds) Air, Water and Soil Quality Modelling for Risk and Impact Assessment. NATO Security Through Science Series. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-5877-6_28

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