Robust monotone iterates for nonlinear singularly perturbed boundary value problems.
Boglaev, Igor (2009)
Boundary Value Problems [electronic only]
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Boglaev, Igor (2009)
Boundary Value Problems [electronic only]
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Hans-Görg Roos (1989)
Aplikace matematiky
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The paper deals with uniformly enclosing discretization methods of the first order for semilinear boundary value problems. Some fundamental properties of this discretization technique (the enclosing property, convergence, the inverse-monotonicity) are proved. A feedback grid generation principle using information from the lower and upper solutions is presented.
Çakır, Musa, Amiraliyev, Gabil M. (2010)
Journal of Applied Mathematics
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Amiraliyev, G.M., Kudu, Mustafa, Duru, Hakki (2004)
Journal of Applied Mathematics
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Xiaofei Guan, Mingxia Li, Wenming He, Zhengwu Jiang (2014)
Open Mathematics
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In this paper, some superconvergence results of high-degree finite element method are obtained for solving a second order elliptic equation with variable coefficients on the inner locally symmetric mesh with respect to a point x 0 for triangular meshes. By using of the weak estimates and local symmetric technique, we obtain improved discretization errors of O(h p+1 |ln h|2) and O(h p+2 |ln h|2) when p (≥ 3) is odd and p (≥ 4) is even, respectively. Meanwhile, the results show that the...
Jean-Michel Rakotoson, Maria Luisa Seoane (2000)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Korman, Philip (1988)
International Journal of Mathematics and Mathematical Sciences
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Josef Dalík (1991)
Applications of Mathematics
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A general construction of test functions in the Petrov-Galerkin method is described. Using this construction; algorithms for an approximate solution of the Dirichlet problem for the differential equation are presented and analyzed theoretically. The positive number is supposed to be much less than the discretization step and the values of . An algorithm for the corresponding two-dimensional problem is also suggested and results of numerical tests are introduced.
Roos, Hans-Görg, Zarin, Helena (2003)
Novi Sad Journal of Mathematics
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