Linear Algebraic Method of Solution for the Problem of Mitigation of Wave Energy Near Seashore by Trench-Type Bottom Topography

In a previous paper we discussed a uniform algebraic method of solution of problems in which a prescribed real rational function (or polynomial) g(x) was to be approximated in a given finite interval by a real rational function (or polynomial)f(x) with prescribed numerator and denominator degrees, the approximation being Tchebysheffian, i.e. such as to make the ‘deviation’ of f, max |f − g| in the interval, as small as possible.

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A linear algebraic method for the calculation of pyroxene endmember components

TMPM Tschermaks Mineralogische und Petrographische Mitteilungen ◽

10.1007/bf01191990 ◽

1986 ◽

Vol 35 (4) ◽

pp. 275-282 ◽

Cited By ~ 2

Author(s):

H. Dietrich ◽

K. Petrakakis

Keyword(s):

Algebraic Method ◽

Linear Algebraic Method

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A linear-algebraic tool for conditional independence inference

Journal of Algebraic Statistics ◽

10.18409/jas.v6i2.46 ◽

2015 ◽

Vol 6 (2) ◽

Author(s):

Kentaro Tanaka ◽

Milan Studeny ◽

Akimichi Takemura ◽

Tomonari Sei

Keyword(s):

Computational Result ◽

Conditional Independence ◽

Algebraic Approach ◽

Algebraic Method ◽

Positive Density ◽

Implication Problem ◽

Algebraic Tool ◽

Linear Algebraic Method

In this note, we propose a new linear-algebraic method for the implication problem among conditional independence statements, which is inspired by the factorization characterization of conditional independence. First, we give a criterion in the case of a discrete strictly positive density and relate it to an earlier linear-algebraic approach. Then, we extend the method to the case of a discrete density that need not be strictly positive. Finally, we provide a computational result in the case of six variables.

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Ketercapaian dan Keterkontrolan Sistem Deskriptor Diskrit Linier Positif

Jurnal Matematika MANTIK ◽

10.15642/mantik.2017.3.2.65-73 ◽

2017 ◽

Vol 3 (2) ◽

pp. 65-73

Author(s):

Yulia Retno Sari

Keyword(s):

Necessary Conditions ◽

Sufficient Conditions ◽

Algebraic Method ◽

Discrete Systems ◽

Descriptor System ◽

Linear Algebraic Method

A positive discrete descriptor system has been widely used in modeling economics, engineering, chemistry and others. In this research, we studied the necessary conditions and sufficient conditions for a positive discrete descriptors system is achieved positive and controlled postively. In addition, it is also studied on sufficient terms and conditions which ensure that discrete systems are null controlled. By using linear algebraic method and Inverse Drazin, this research has proved several theorems for discrete descriptors system achieved positive, controlled positively and controlled null. In addition, examples are given as illustrations to reinforce the validity of the proven theorems.

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A Novel Method for Estimating Wave Energy Converter Performance in Variable Bathymetry Regions and Applications

Energies ◽

10.3390/en11082092 ◽

2018 ◽

Vol 11 (8) ◽

pp. 2092 ◽

Cited By ~ 13

Author(s):

Kostas Belibassakis ◽

Markos Bonovas ◽

Eugen Rusu

Keyword(s):

Wave Field ◽

Wave Energy ◽

Water Waves ◽

Bottom Topography ◽

Wave Energy Converter ◽

Diffraction Radiation ◽

Floating Bodies ◽

Energy Converter ◽

Coupled Mode ◽

Energy Absorbers

A numerical model is presented for the estimation of Wave Energy Converter (WEC) performance in variable bathymetry regions, taking into account the interaction of the floating units with the bottom topography. The proposed method is based on a coupled-mode model for the propagation of the water waves over the general bottom topography, in combination with a Boundary Element Method for the treatment of the diffraction/radiation problems and the evaluation of the flow details on the local scale of the energy absorbers. An important feature of the present method is that it is free of mild bottom slope assumptions and restrictions and it is able to resolve the 3D wave field all over the water column, in variable bathymetry regions including the interactions of floating bodies of general shape. Numerical results are presented concerning the wave field and the power output of a single device in inhomogeneous environment, focusing on the effect of the shape of the floater. Extensions of the method to treat the WEC arrays in variable bathymetry regions are also presented and discussed.

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