Analysis of a block red-black preconditioner applied to the Hermite collocation discretization of a model parabolic equation

DOI10.1002/NUM.1028zbMath0992.65107OpenAlexW2035366549WikidataQ115404873 ScholiaQ115404873MaRDI QIDQ2762698

Stephen H. Brill, George F. Pinder

Publication date: 1 September 2002

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.1028

zbMATH Keywords

stabilityconvergenceBi-CGSTAB methodHermite collocationeigenvalue formulaeblock Red-Black Gauss-Seidel preconditioner

Mathematics Subject Classification ID

Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Uses Software

• MINOS

Cites Work

• Eigenvalue analysis of a block Red-Black Gauss-Seidel preconditioner applied to the Hermite collocation discretization of Poisson's equation
• The Importance of Scaling for the Hermite Bicubic Collocation Equations
• Fast Direct Solvers for Piecewise Hermite Bicubic Orthogonal Spline Collocation Equations
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Orthogonal Collocation for Elliptic Partial Differential Equations
• On the Iterative Solution of Hermite Collocation Equations

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