Some integral properties of the heat equation

DOI10.1016/S0898-1221(01)00227-9zbMath0989.65085MaRDI QIDQ5948888

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Publication date: 12 November 2001

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

zbMATH Keywords

monotonicityheat equationdifference schemeinitial boundary value problem

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Cites Work

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• Maximum norm contractivity of discretization schemes for the heat equation
• Qualitative properties of the numerical solution of linear parabolic problems with nonhomogeneous boundary conditions
• 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
• Stability theory of difference schemes and iterative methods

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