Resolvent estimates in for discrete Laplacians on irregular meshes and maximum-norm stability of parabolic finite difference schemes.
Crouzeix, Michel, Thomée, Vidar (2001)
Computational Methods in Applied Mathematics
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Displaying similar documents to “Discrete maximum principle in parabolic boundary-value problems”
Resolvent estimates in for discrete Laplacians on irregular meshes and maximum-norm stability of parabolic finite difference schemes.
Multipoint boundary value problems for discrete equations
Pavel Drábek, Harold Bevan Thompson, Christopher Tisdell (2001)
Commentationes Mathematicae Universitatis Carolinae
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In this work we establish existence results for solutions to multipoint boundary value problems for second order difference equations with fully nonlinear boundary conditions involving two, three and four points. Our results are also applied to systems.
Lidstone continuous and discrete boundary value problems.
Agarwal, Ravi P., O'Regan, Donal (2000)
Memoirs on Differential Equations and Mathematical Physics
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Inverse parabolic problems and discrete orthogonality.
D.S. Gilliam, J.R. Lund, C.F. Martin (1991)
Numerische Mathematik
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Stability of Parabolic Difference Schemes in the Maximum Norm.
O.B. WIDLUND (1966)
Numerische Mathematik
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Duels with possibly asymmetric goals
M. Fox (1980)
Applicationes Mathematicae
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Uniqueness and stability of solutions for a type of parabolic boundary value problem.
Gonzalez-Velasco, Enrique A. (1989)
International Journal of Mathematics and Mathematical Sciences
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Weak discrete maximum principles
Mohammad Mujalli Al-Mahameed (2005)
Archivum Mathematicum
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We introduce weak discrete maximum principles for matrix equations associated with some elliptic problems. We also give an example on discrete maximum principles.