Direct computation of operational matrices for polynomial bases.
Guimarães, Osvaldo, Piqueira, José Roberto C., Netto, Marcio Lobo (2010)
Mathematical Problems in Engineering
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Guimarães, Osvaldo, Piqueira, José Roberto C., Netto, Marcio Lobo (2010)
Mathematical Problems in Engineering
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Roberto Barrio (1998)
Extracta Mathematicae
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Lorella Fatone, Daniele Funaro, Valentina Scannavini (2007)
ESAIM: Mathematical Modelling and Numerical Analysis
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The superconsistent collocation method, which is based on a collocation grid different from the one used to represent the solution, has proven to be very accurate in the resolution of various functional equations. Excellent results can be also obtained for what concerns preconditioning. Some analysis and numerous experiments, regarding the use of finite-differences preconditioners, for matrices arising from pseudospectral approximations of advection-diffusion boundary value problems,...
Abd-Elal, L.F. (1981)
International Journal of Mathematics and Mathematical Sciences
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Weihua Geng (2015)
Molecular Based Mathematical Biology
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Numerically solving the Poisson-Boltzmann equation is a challenging task due to the existence of the dielectric interface, singular partial charges representing the biomolecule, discontinuity of the electrostatic field, infinite simulation domains, etc. Boundary integral formulation of the Poisson-Boltzmann equation can circumvent these numerical challenges and meanwhile conveniently use the fast numerical algorithms and the latest high performance computers to achieve combined improvement...
Dimitri Gurevich, Pavel Saponov (2011)
Banach Center Publications
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We consider Poisson pencils, each generated by a linear Poisson-Lie bracket and a quadratic Poisson bracket corresponding to a so-called Reflection Equation Algebra. We show that any bracket from such a Poisson pencil (and consequently, the whole pencil) can be restricted to any generic leaf of the Poisson-Lie bracket. We realize a quantization of these Poisson pencils (restricted or not) in the framework of braided affine geometry. Also, we introduce super-analogs of all these Poisson...
François Castella, Philippe Chartier, Erwan Faou, Dominique Bayart, Florence Leplingard, Catherine Martinelli (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper we study a discrete Raman laser amplification model given as a Lotka-Volterra system. We show that in an ideal situation, the equations can be written as a Poisson system with boundary conditions using a global change of coordinates. We address the questions of existence and uniqueness of a solution. We deduce numerical schemes for the approximation of the solution that have good stability.
Sinha, S.C., Butcher, Eric A. (1996)
Mathematical Problems in Engineering
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Robert Barker (1978)
Banach Center Publications
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Barry, Paul (2009)
Journal of Integer Sequences [electronic only]
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Ilić, M., Turner, I.W., Anh, V. (2008)
Journal of Applied Mathematics and Stochastic Analysis
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