Fast solution of implicit methods for linear hyperbolic equations

DOI10.1016/0378-4754(82)90049-0zbMath0476.65015OpenAlexW1970987707MaRDI QIDQ1159946

S. H. Smith

Publication date: 1982

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(82)90049-0

zbMATH Keywords

transport equationfactorisation methodimplicit finite difference equationslinear first order hyperbolic equationstridiagonal Toeplitz linear systems

Mathematics Subject Classification ID

Initial-boundary value problems for first-order hyperbolic systems (35L50) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Boundary value problems for linear first-order PDEs (35F15)

Related Items (1)

The convergence of the age method in the presence of unsymmetric operators

Cites Work

• Stability, convergence, and pseudo-stability of finite-difference equations for an over-determined problem
• Direct methods of solution of partial differential equations with periodic boundary conditions
• Iterative methods of solution for the elliptic fourth boundary value problem
• On the factorization of special symmetric periodic and non-periodic quindiagonal matrices
• On the Solution of Certain Toeplitz Tridiagonal Linear Systems
• On the use of fast methods for solving boundary value problems
• On the Solution of Certain Skew Symmetric Linear Systems
• Fast A.D.I. methods for the solution of linear parabolic partial differential equations involving 2 space dimensions
• The Numerical Solution of the Fourth Boundary Value Problem for Parabolic Partial Differential Equations
• An algorithm for the solution of certain tridiagonal systems of linear equations

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