9 citations · 28 across the 6 of their papers we have counts for
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math.NA2019★ 9 cited
A new formulation for the numerical proof of the existence of solutions to elliptic problems
Kouta Sekine, Mitsuhiro T. Nakao, Shin'ichi Oishi
Infinite-dimensional Newton methods can be effectively used to derive numerical proofs of the existence of solutions to partial differential equations (PDEs). In computer-assisted…
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.