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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Discontinuous Galerkin methods for ordinary differential equations

Authors: M. Delfour, W. Hager and F. Trochu
Journal: Math. Comp. 36 (1981), 455-473
MSC: Primary 65L10; Secondary 65N30
MathSciNet review: 606506
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Abstract: A class of Galerkin methods derived from discontinuous piecewise polynomial spaces is analyzed. For polynomials of degree k, these methods lead to a family of one-step schemes generating approximations up to order $ 2k + 2$ for the solution of an ordinary differential equation.

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Article copyright: © Copyright 1981 American Mathematical Society