On the Chebyshev penalty method for parabolic and hyperbolic equations

DOI10.1051/m2an/1996300709071zbMath0861.65086OpenAlexW2347092028MaRDI QIDQ5690052

Baolin Yang, Lucia Dettori

Publication date: 24 April 1997

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193828

zbMATH Keywords

stabilitynumerical examplesparabolic equationhyperbolic equationsMaxwell equationChebyshev penalty methodpseudospectral Chebyshev discretization

Mathematics Subject Classification ID

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) Initial value problems for second-order parabolic equations (35K15) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (2)

Spectral methods for hyperbolic problems ⋮ Continuum and discrete initial-boundary value problems and Einstein's field equations

Cites Work

• Domain decomposition methods for pseudo spectral approximations. I. Second order equations in one dimension
• A New Method of Imposing Boundary Conditions in Pseudospectral Approximations of Hyperbolic Equations
• Convergence Results for Pseudospectral Approximations of Hyperbolic Systems by a Penalty-Type Boundary Treatment
• The Chebyshev–Legendre Method: Implementing Legendre Methods on Chebyshev Points
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