On the monotonicity conservation in numerical solutions of the heat equation

DOI10.1016/S0168-9274(01)00150-7zbMath1003.65104MaRDI QIDQ1612457

Robert Horváth

Publication date: 22 August 2002

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

zbMATH Keywords

heat equationmonotonicity conservationone-step vector-iterations

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)

Related Items (1)

On some discrete qualitative properties of implicit finite difference solutions of nonlinear parabolic problems

Cites Work

• Vorzeichenstabile Differenzenverfahren für parabolische Anfangsrandwertaufgaben
• Maximum norm contractivity of discretization schemes for the heat equation
• Preserving concavity in initial-boundary value problems of parabolic type and in its numerical solution
• Maximum norm contractivity in the numerical solution of the one-dimensional heat equation
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