Spectral analysis of the continuous and discretized heat and advection equation on single and multiple domains

DOI10.1016/j.apnum.2012.05.002zbMath1251.65120OpenAlexW1967105659MaRDI QIDQ450934

Jan Nordström, Jens Lindström

Publication date: 26 September 2012

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-68277

zbMATH Keywords

stabilityheat equationfinite difference methodnumerical exampleseigenvaluesdiffusion equationerror boundsspectral analysisadvection equationsummation-by-partsweak boundary conditionsweak interface conditions

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for first-order hyperbolic systems (35L45)

Related Items

Generalized characteristic relaxation boundary conditions for unsteady compressible flow simulations, Review of summation-by-parts schemes for initial-boundary-value problems, High-order numerical methods for 2D parabolic problems in single and composite domains, Order-Preserving Interpolation for Summation-by-Parts Operators at Nonconforming Grid Interfaces, On the impact of boundary conditions on dual consistent finite difference discretizations

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