Uniformly Superconvergent Approximations for Linear Two-Point Boundary Value Problems
Author:
Publisher
Society for Industrial & Applied Mathematics (SIAM)
Subject
Numerical Analysis,Applied Mathematics,Computational Mathematics
Link
http://epubs.siam.org/doi/pdf/10.1137/S0036142996297205
Reference13 articles.
1. A New Basis Implementation for a Mixed Order Boundary Value ODE Solver
2. General mean value and remainder theorems with applications to mechanical differentiation and quadrature
3. Collocation at Gaussian Points
4. Local piecewise polynomial projection methods for an O.D.E. which give high-order convergence at knots
5. The question of uniqueness for G. D. Birkhoff interpolation problems
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1. Superconvergent interpolants for Gaussian collocation solutions of mixed order BVODE systems;AIMS Mathematics;2022
2. An error term and uniqueness for Hermite–Birkhoff interpolation involving only function values and/or first derivative values;Journal of Computational and Applied Mathematics;2008-02
3. Higher order approximations using interpolation applied to collocation solutions of two-point boundary value problems;Journal of Computational and Applied Mathematics;2007-09
4. The design and implementation of usable ODE software;Numerical Algorithms;2002
5. Superconvergent interpolants for collocation methods applied to mixed-order BVODEs;ACM Transactions on Mathematical Software;2000-09
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