The Chebychev method for solving nonself-adjoint elliptic equations on a vector computer

DOI10.1016/0021-9991(80)90083-2zbMath0437.65079OpenAlexW2036522654MaRDI QIDQ1141467

S. H. Smith

Publication date: 1980

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(80)90083-2

zbMATH Keywords

Chebyshev methodfinite-difference methodsadvection-diffusion equationvector computersnonselfadjoint elliptic boundary-value problemspractical computational aspects

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10) Free convection (76R10) Theory of operating systems (68N25) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

Solution of elliptic equations using fast Poisson solvers

Cites Work

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• The Tchebychev iteration for nonsymmetric linear systems
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• Multi-Level Adaptive Solutions to Boundary-Value Problems