The Importance of Scaling for the Hermite Bicubic Collocation Equations

DOI10.1137/0907048zbMath0602.65015OpenAlexW1991150820MaRDI QIDQ3738467

John R. Rice, Wayne R. Dyksen

Publication date: 1986

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://docs.lib.purdue.edu/cgi/viewcontent.cgi?article=1396&context=cstech

zbMATH Keywords

numerical experimentsGauss eliminationscalingpiecewise polynomial collocation methodsELLPACKHermite bicubic collocation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Numerical computation of matrix norms, conditioning, scaling (65F35) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (3)

General interior Hermite collocation methods for second-order elliptic partial differential equations ⋮ Eigenvalue analysis of a block Red-Black Gauss-Seidel preconditioner applied to the Hermite collocation discretization of Poisson's equation ⋮ Analysis of a block red-black preconditioner applied to the Hermite collocation discretization of a model parabolic equation

Uses Software

• ELLPACK

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