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Titlebook: Codes for Boundary-Value Problems in Ordinary Differential Equations; Proceedings of a Wor B. Childs,M. Scott,P. Nelson Conference proceedi

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,C0 — Collocation — Galerkin methods,and mass transfer problems that arise for catalytic reactors in chemical engineering. The Jacobi points are introduced to determine optimal orders of accuracy and utilized in a new method for determining the boundary flux to optimal order. Numerical results are presented for sample problems.
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https://doi.org/10.1007/978-90-481-8563-4 that arise; comparative performance of codes implementing various methods on carefully chosen classes of test problems; and methods for estimating and controlling global errors by automatic selection of parameters of the method.
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Xiaofeng Nie,Rajan Batta,Li Lin still lacking. Such a comparison, which would have been beyond the scope of this paper, should be based on a set of real life BVPs, in order to permit a comparative judgment of the different NLEQ solvers in BVP codes.
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A road map of methods for approximating solutions of two-point boundary-value problems, that arise; comparative performance of codes implementing various methods on carefully chosen classes of test problems; and methods for estimating and controlling global errors by automatic selection of parameters of the method.
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