Recent Advances in Error Control B-spline Gaussian Collocation Software for PDEs

Author:

Muir Paul,Pew Jack

Publisher

Springer International Publishing

Reference13 articles.

1. Arsenault, T., Smith, T., Muir, P.H.: Superconvergent interpolants for efficient spatial error estimation in 1D PDE collocation solvers. Can. Appl. Math. Q. 17, 409–431 (2009)

2. Arsenault, T., Smith, T., Muir, P.H., Keast, P.: Efficient interpolation-based error estimation for 1D time-dependent PDE collocation codes. Saint Mary’s University, Dept. of Mathematics and Computing Science Technical Report Series. http://cs.smu.ca/tech_reports/txt2011_001.pdf (2011)

3. Arsenault, T., Smith, T., Muir, P.H., Pew, J.: Asymptotically correct interpolation-based spatial error estimation for 1D PDE solvers. Can. Appl. Math. Q. 20, 307–328 (2012)

4. Ascher, U.M., Mattheij, R.M.M., Russell, R.D.: Numerical Solution of Boundary Value Problems for Ordinary Differential Equations (volume 13 of Classics in Applied Mathematics). Society for Industrial and Applied Mathematics (SIAM), Philadelphia (1995)

5. Brenan, K.E., Campbell, S.L., Petzold, L.R.: Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations (volume 14 of Classics in Applied Mathematics). Society for Industrial and Applied Mathematics (SIAM), Philadelphia (1996)

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1. An Analysis of the Reliability of Error Control B-Spline Gaussian Collocation PDE Software;Mathematical and Computational Approaches in Advancing Modern Science and Engineering;2016

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