Estimates of solutions of hyperbolic systems of differential equations in two independent variables
W. Mlak (1962)
Annales Polonici Mathematici
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W. Mlak (1962)
Annales Polonici Mathematici
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Mitsuru Sugimoto (1994)
Mathematische Zeitschrift
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L.S. Jennings, M.R. Osborne (1974)
Numerische Mathematik
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Dolejší, Vít, Roskovec, Filip
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This paper is concerned with goal-oriented a posteriori error estimates for discontinous Galerkin discretizations of linear elliptic boundary value problems. Our approach combines the Dual Weighted Residual method (DWR) with local weighted least-squares reconstruction of the discrete solution. This technique is used not only for controlling the discretization error, but also to track the influence of the algebraic errors. We illustrate the performance of the proposed method by numerical...
Zhelezovskij, S.E. (2005)
Sibirskij Matematicheskij Zhurnal
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Yaozong Tang, Xiaolin Li (2017)
Applications of Mathematics
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The meshless element-free Galerkin method is developed for numerical analysis of hyperbolic initial-boundary value problems. In this method, only scattered nodes are required in the domain. Computational formulae of the method are analyzed in detail. Error estimates and convergence are also derived theoretically and verified numerically. Numerical examples validate the performance and efficiency of the method.
Stephen Wainger (1969-1970)
Séminaire de théorie des nombres de Bordeaux
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Avalishvili, G., Gordeziani, D. (1999)
Bulletin of TICMI
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Sudhanshu K. Ghoshal, Abha Ghoshal, M. Abu-Masood (1977)
Annales Polonici Mathematici
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Michał Kisielewicz (1975)
Annales Polonici Mathematici
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Anne de Roton (2007)
Acta Arithmetica
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J. Kisyński (1970)
Colloquium Mathematicae
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Joǎo Lita da Silva (2009)
Discussiones Mathematicae Probability and Statistics
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The strong consistency of least squares estimates in multiples regression models with i.i.d. errors is obtained under assumptions on the design matrix and moment restrictions on the errors.
R. Krasnodębski (1970)
Colloquium Mathematicae
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Mitsuru Sugimoto (1996)
Mathematische Zeitschrift
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Jan Dymara, Damian Osajda (2007)
Fundamenta Mathematicae
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We prove that the boundary of a right-angled hyperbolic building is a universal Menger space. As a consequence, the 3-dimensional universal Menger space is the boundary of some Gromov-hyperbolic group.