Performance analysis of error-control B-spline Gaussian collocation software for PDEs

DOI10.1016/J.CAMWA.2018.11.025zbMath1442.65296OpenAlexW2905189582WikidataQ114201590 ScholiaQ114201590MaRDI QIDQ2203896

Connor Tannahill, Jack Pew, Zhi Li, Graeme Fairweather, P. H. Muir

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: http://library2.smu.ca/handle/01/28211

zbMATH Keywords

reliabilityefficiencycollocationerror controlpartial differential equationsB-splines

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Uses Software

• BACOLR
• MOVCOL
• COLSYS
• BACOLI
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Cites Work

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• A high-order global spatially adaptive collocation method for 1-D parabolic PDEs
• Adaptive moving mesh methods
• A comparison of adaptive software for 1D parabolic PDEs
• A moving collocation method for solving time dependent partial differential equations
• Solving Ordinary Differential Equations I
• Algorithm 874
• FORTRAN Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination
• Algorithm 540: PDECOL, General Collocation Software for Partial Differential Equations [D3]
• Collocation Software for Boundary-Value ODEs
• DIFFUSIVE EFFECTS ON A CATALYTIC SURFACE REACTION: AN INITIAL BOUNDARY VALUE PROBLEM IN REACTION-DIFFUSION-CONVECTION EQUATIONS
• Algorithm 688: EPDCOL
• Algorithms for Almost Block Diagonal Linear Systems
• BACOL
• A practical guide to splines.
• Interpolation error-based a posteriori error estimation for two-point boundary value problems and parabolic equations in one space dimension

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