Approximation, solution operators and quantale-valued metrics
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DOI: 10.1007/s00010-017-0485-8
Abstract: A generalized solution operator is a mapping abstractly describing a computational problem and its approximate solutions. It assigns a set of $$\varepsilon $$ε-approximations of a solution to the problem instance f and accuracy of approximation… read more here.
Keywords: generalized solution; approximation solution; accuracy approximation; quantale valued ... See more keywords
A generalized solution procedure for in-plane free vibration of rectangular plates and annular sectorial plates
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DOI: 10.1098/rsos.170484
Abstract: A generalized solution procedure is developed for in-plane free vibration of rectangular and annular sectorial plates with general boundary conditions. For the annular sectorial plate, the introduction of a logarithmic radial variable simplifies the basic… read more here.
Keywords: generalized solution; annular sectorial; sectorial plates; plane free ... See more keywords
Existence and Uniqueness of an Rν-Generalized Solution of the Dirichlet Problem for the Lamé System with a Corner Singularity
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DOI: 10.1134/s0012266119060107
Abstract: We consider the Dirichlet problem for the Lame system in a two-dimensional domain whose boundary contains a reentrant corner. The notion of Rv-generalized solution is introduced for this problem. The existence and uniqueness of such… read more here.
Keywords: generalized solution; problem; dirichlet problem; solution ... See more keywords
Modeling of immense gravity objects via generalized solution of Einstein’s field equations
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DOI: 10.1142/s0218271819501347
Abstract: In this paper, we generate a new generalized solution for modeling of compact anisotropic astrophysical configurations by using Karmarkar condition of embedded class 1 spacetime manifold. We demonstrate that the new solution satisfies all required… read more here.
Keywords: see text; generalized solution; text formula; formula see ... See more keywords
Generalized Solution for Rectangular Three-Dimensional Transient Heat Conduction Problems with Partial Heating
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DOI: 10.2514/1.t5888
Abstract: The development of a generalized solution is presented for a three-dimensional transient heat conduction problem in a rectangular parallelepiped. To make the method as general as possible, one face... read more here.
Keywords: three dimensional; transient heat; generalized solution; dimensional transient ... See more keywords