Composite Legendre-Laguerre approximation in unbounded domains is developed. Some approximation results are obtained. As an example, a composite spectral Scheme is provided for the Burgers equation on the half line. The stability and convergence of proposed scheme are proved strictly. Two-dimensional exterior problems are discussed.
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Austrian Acad Sci, Johann Radon Inst Computat & Appl Math RICA, Altenbergerstr 69, A-4040 Linz, AustriaAustrian Acad Sci, Johann Radon Inst Computat & Appl Math RICA, Altenbergerstr 69, A-4040 Linz, Austria
Kritzer, P.
Pillichshammer, F.
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Johannes Kepler Univ Linz, Inst Finanzmath & Angew Zahlentheorie, Altenbergerstr 69, A-4040 Linz, AustriaAustrian Acad Sci, Johann Radon Inst Computat & Appl Math RICA, Altenbergerstr 69, A-4040 Linz, Austria
Pillichshammer, F.
Plaskota, L.
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Univ Warsaw, Inst Appl Math & Mech, Fac Math Informat & Mech, S Banacha 2, PL-02097 Warsaw, PolandAustrian Acad Sci, Johann Radon Inst Computat & Appl Math RICA, Altenbergerstr 69, A-4040 Linz, Austria
Plaskota, L.
Wasilkowski, G. W.
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Univ Kentucky, Comp Sci Dept, 301 David Marksbury Bldg,329 Rose St, Lexington, KY 40506 USAAustrian Acad Sci, Johann Radon Inst Computat & Appl Math RICA, Altenbergerstr 69, A-4040 Linz, Austria
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Univ Versailles St Quentin En Yvelines, Lab Math Versailles, F-78035 Versailles, FranceUniv Versailles St Quentin En Yvelines, Lab Math Versailles, F-78035 Versailles, France
Boulmezaoud, Tahar Z.
Mziou, Samy
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Al Imam Muhammad Ibn Saud Univ IMSIU, Coll Sci, Dept Math & Stat, Riyadh 11623, Saudi ArabiaUniv Versailles St Quentin En Yvelines, Lab Math Versailles, F-78035 Versailles, France
Mziou, Samy
Boudjedaa, Tahar
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Univ Jijel, Fac Sci, Lab Phys Theor, Ouled Aissa 18000, Jijel, AlgeriaUniv Versailles St Quentin En Yvelines, Lab Math Versailles, F-78035 Versailles, France