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

DOI10.1007/978-3-319-12307-3_47zbMath1331.65147OpenAlexW2419929067MaRDI QIDQ3459743

Jack Pew, P. H. Muir

Publication date: 11 January 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-12307-3_47

zbMATH Keywords

error estimatesBurgers equationsoftware packagenumerical resultB-spline Gaussian collocationBACOLI

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Packaged methods for numerical algorithms (65Y15)

Related Items (1)

BACOLI

Uses Software

• BACOLR
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Cites Work

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• A practical guide to splines
• Collocation methods for parabolic equations in a single space variable. Based on C\(^1\)-piecewise-polynomial spaces
• A comparison of adaptive software for 1D parabolic PDEs
• Algorithm 874
• BACOL
• Interpolation error-based a posteriori error estimation for two-point boundary value problems and parabolic equations in one space dimension

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