Asymptotical analysis of some coupled nonlinear wave equations
We consider coupled nonlinear equations modelling a family of travelling wave solutions. The goal of our work is to show that the method of internal averaging along characteristics can be used for wide classes of coupled non-linear wave equations such as
Aleksandras Krylovas, Rima Kriauzienė
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The Maxwell equations as a B\"acklund transformation
Backlund transformations (BTs) are a useful tool for integrating nonlinear partial differential equations (PDEs). However, the significance of BTs in linear problems should not be ignored.
Papachristou, C. J.
core
Electrohydrodynamic linear stability analysis of dielectric liquids subjected to unipolar injection in a rectangular enclosure with rigid sidewalls [PDF]
We investigate the linear stability threshold of a dielectric liquid subjected to unipolar injection in a 2D rectangular enclosure with rigid boundaries.
Pérez Izquierdo, Alberto Tomás +3 more
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The Simplest Solution to an Underdetermined System of Linear Equations
Consider a d*n matrix A, with ...
Donoho, David +2 more
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Study of the linear ablation growth rate for the quasi isobaric model of Euler equations with thermal conductivity [PDF]
In this paper, we study a linear system related to the 2d system of Euler equations with thermal conduction in the quasi-isobaric approximation of Kull-Anisimov [14].
Lafitte, Olivier
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We propose the reduced-shifted Conjugate-Gradient (RSCG) method, which is numerically efficient to calculate a matrix element of a Green's function defined as a resolvent of a Hamiltonian operator, by solving linear equations with a desired accuracy ...
Futamura, Yasunori +3 more
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Critical analyses when modeling tree biomass to ensure additivity of its components
It is presented the theme additivity of biomass of tree components. To evaluate and discuss this context, experimental information collected in forests of Acacia mearnsii De Wild. was used. Equations for components (stem and crown) and total biomass were
ALEXANDRE BEHLING +6 more
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User's manual for interactive LINEAR: A FORTRAN program to derive linear aircraft models [PDF]
An interactive FORTRAN program that provides the user with a powerful and flexible tool for the linearization of aircraft aerodynamic models is documented in this report.
Antoniewicz, Robert F. +2 more
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Standard diffusive systems are well-posed linear systems [PDF]
The class of well-posed linear systems as introduced by Salamon has become a well-understood class of systems, see e.g. the work of Weiss and the book of Staffans.
Matignon, Denis, Zwart, Hans
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Probing the structure-function relationship with neural networks constructed by solving a system of linear equations. [PDF]
Mininni CJ, Zanutto BS.
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