most citedConstructive a priori error estimates for a full discrete approximation of periodic solutions for the heat equation

7 citations · 12 across the 2 of their papers we have counts for

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2 papers

math.NA2019★ 7 cited

Constructive a priori error estimates for a full discrete approximation of periodic solutions for the heat equation

Takuma Kimura, Teruya Minamoto, Mitsuhiro T. Nakao

We consider the constructive a priori error estimates for a full discrete numerical solution of the heat equation with time-periodic condition.

math.NA2018★ 5 cited

Constructive error analysis of a full-discrete finite element method for the heat equation

Kouji Hashimoto, Mitsuhiro T. Nakao, Takuma Kimura +1

In this paper, we present a new full-discrete finite element method for the heat equation, and show the numerical stability of the method by verified computations. Since, in the er…