An efficient direct method for fully conforming spectral collocation schemes

DOI10.1007/BF02142810zbMath0859.65120MaRDI QIDQ1815704

Marcin Paprzycki, Andreas Karageorghis

Publication date: 15 December 1996

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

performancedirect methodspectral collocationfourth-order problems

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) Boundary value problems for higher-order elliptic equations (35J40) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (2)

Almost block diagonal linear systems: sequential and parallel solution techniques, and applications ⋮ Direct methods for spectral approximations in nonconforming domain decompositions

Uses Software

• NAG
• UMFPACK

Cites Work

• On efficient direct methods for conforming spectral domain decomposition techniques
• The numerical solution of laminar flow in a re-entrant tube geometry by a Chebyshev spectral element collocation method
• A fully conforming spectral collocation scheme for second- and fourth-order problems
• A Chebyshev spectral collocation method for the solution of the Reynolds equation of lubrication
• The Direct Solution of the Discrete Poisson Equation on Irregular Regions
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