Uniformly convergent schemes for singularly perturbed differential equations based on collocation methods.
Konate, Dialla (2000)
International Journal of Mathematics and Mathematical Sciences
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Konate, Dialla (2000)
International Journal of Mathematics and Mathematical Sciences
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Surla, Katarina (1998)
Novi Sad Journal of Mathematics
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G.W. Reddien, L.L. Schumaker (1975/76)
Numerische Mathematik
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Csaba Gáspár (2013)
Open Mathematics
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The method of fundamental solutions and some versions applied to mixed boundary value problems are considered. Several strategies are outlined to avoid the problems due to the singularity of the fundamental solutions: the use of higher order fundamental solutions, and the use of nearly fundamental solutions and special fundamental solutions concentrated on lines instead of points. The errors of the approximations as well as the problem of ill-conditioned matrices are illustrated via...
Jan Popiołek (1997)
Annales Polonici Mathematici
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We prove the existence of solutions of some boundary-value problems for partial differential equations of order higher than two. The general idea is similar to that in [1]. We make an essential use of the results of our paper [12].
Farrell, P.A., O'Riordan, E., Miller, J.J.H., Shishkin, G.I. (2001)
Computational Methods in Applied Mathematics
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R.D. Russell, L.F. Shampine (1972)
Numerische Mathematik
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R.D. Russell (1974/75)
Numerische Mathematik
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Wendland, Wolfgang L.
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M. Greguš (1974)
Annales Polonici Mathematici
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