A polynomial based iterative method for linear parabolic equations

DOI10.1016/0377-0427(90)90193-4zbMath0686.65083OpenAlexW2054370002MaRDI QIDQ1262730

Mark J. Schaefer

Publication date: 1990

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(90)90193-4

zbMATH Keywords

algorithmpseudospectral methodfinite differencesmethod of linesiterative methodssparse linear systemsleast squares approximationimplicit methodsalternating-direction methodChebychev polynomials\(L_ 0\)-stabilityfinite expansionADI/LOD methodssemi-discrete equations

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Initial-boundary value problems for second-order parabolic equations (35K20) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05) Method of lines for boundary value problems involving PDEs (65N40)

Related Items

Interpolating discrete advection--diffusion propagators at Leja sequences, Backward error analysis of polynomial approximations for computing the action of the matrix exponential, Accurate evaluation of divided differences for polynomial interpolation of exponential propagators, The LEM exponential integrator for advection-diffusion-reaction equations, A polynomial based iterative method for linear parabolic equations

Uses Software

• LSQR
• CHEBYCODE
• CRAIG

Cites Work

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• Two New Finite Difference Schemes for Parabolic Equations
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• LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
• Nineteen Dubious Ways to Compute the Exponential of a Matrix
• The Extrapolation of First Order Methods for Parabolic Partial Differential Equations. I