| PROJECTION METHODS AND APPROXIMATIONS FOR ORDINARY DIFFERENTIAL EQUATIONS |
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| 作者姓名： | A. Bensebah F. Dubeau J. Gelinas |
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| 作者单位： | Universite de Sherbrooke，Canada，Universite de Sherbrooke，Canada，Centre df recherches pour la defense，Canada |
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| 摘 要： | A formulation of a differential equation as projection and fixed point pi-Mem alloivs approximations using general piecnvise functions. We prone existence and uniqueness of the up proximate solution* convergence in the L2 norm and nodal supercnnvergence. These results generalize those obtained earlier by Hulme for continuous piecevjise polynomials and by Delfour-Dubeau for discontinuous pieceuiise polynomials. A duality relationship for the two types of approximations is also given.
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