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If rooms in an office building are allowed to be any rectangular solid, how many colors does it take to paint any configuration of rooms so that no two rooms sharing a wall or ceiling/floor get the same color? In this work, we provide a new construction which shows this number can be arbitrarily large.
This paper deals with the design of finite volume approximation of hyperbolic
conservation laws in curvilinear coordinates. Such coordinates are encountered naturally
in many problems as for instance in the analysis of a large number of models coming from
magnetic confinement fusion in tokamaks. In this paper we derive a new finite volume
method for hyperbolic conservation laws in curvilinear coordinates. The method is first
described in a general...
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