The maximum-norm of the restricted denominator approximations

DOI10.1016/j.camwa.2005.08.013zbMath1087.65091OpenAlexW2015019005WikidataQ60580313 ScholiaQ60580313MaRDI QIDQ815241

N. E. Zubov

Publication date: 16 February 2006

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.08.013

zbMATH Keywords

heat equationStabilityRational approximationapproximating the exponential functionMaximum normRestricted denominator method

Mathematics Subject Classification ID

Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Cites Work

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• Maximum norm contractivity of discretization schemes for the heat equation
• Sharpening the estimate of the stability constant in the maximum-norm of the Crank-Nicolson scheme for the one-dimensional heat equation
• Contractivity in the numerical solution of initial value problems
• On maximum norm contractivity of second order damped single step methods
• One-Parameter Semigroups for Linear Evolution Equations

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