On the a posteriori estimates for inverse operators of linear parabolic equations with applications to the numerical enclosure of solutions for nonlinear problems

We consider the guaranteed a posteriori estimates for the inverse parabolic operators with homogeneous initial-boundary conditions. Our estimation technique uses a full-discrete numerical scheme, which is based on the Galerkin method with an interpolation in time by using the fundamental solution fo...

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Vydané v:	Numerische Mathematik Ročník 126; číslo 4; s. 679 - 701
Hlavní autori:	Kinoshita, Takehiko, Kimura, Takuma, Nakao, Mitsuhiro T.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2014
Predmet:	Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Numerical Analysis Numerical and Computational Physics Simulation Theoretical 35K20 65M15 65M60
ISSN:	0029-599X, 0945-3245
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