Vorzeichenstabile Differenzenverfahren für parabolische Anfangsrandwertaufgaben

DOI10.1007/BF01396416zbMath0447.65054OpenAlexW431549680MaRDI QIDQ1146508

Klaus Glashoff, Horst Kreth

Publication date: 1980

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/186294

zbMATH Keywords

structure preservationsign stabilityparabolic initial-boundary value problemsone- step difference schemestotally non-negative matrices

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Positive matrices and their generalizations; cones of matrices (15B48) 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) Finite difference methods for boundary value problems involving PDEs (65N06) Initial value problems for second-order parabolic equations (35K15)

Related Items (6)

Conservative difference schemes for diffusion problems with boundary and interface conditions ⋮ Numerical aspects of TV flow ⋮ On the Sign-Stability of Finite Difference Solutions of Semilinear Parabolic Problems ⋮ On the sign-stability of numerical solutions of one-dimensional parabolic problems ⋮ Diffusion-inspired shrinkage functions and stability results for wavelet denoising ⋮ On the monotonicity conservation in numerical solutions of the heat equation

Cites Work

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