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To predict the heat diffusion in a given region over time, it is oftennecessary to find the numerical solution for heat equation. With the techniquesof discrete differential calculus, we propose two unconditional stablenumerical schemes for simulation heat equation on space manifold and time. Theanalysis of their stability and error is accomplished by the use of maximumprinciple.

Two unconditional stable schemes for simulation of heat equation on manifold using DEC