Preserving concavity in initial-boundary value problems of parabolic type and in its numerical solution

DOI10.1007/BF01876627zbMath0821.65065OpenAlexW2013234049MaRDI QIDQ1805105

Tamás Pfeil, István Faragó

Publication date: 8 October 1995

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01876627

zbMATH Keywords

maximum principlelinear parabolic equationpreservation of concavity

Mathematics Subject Classification ID

Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (10)

Qualitative properties of the numerical solution of linear parabolic problems with nonhomogeneous boundary conditions ⋮ Regular and exponential convergence of difference schemes for the heat-conduction equation ⋮ An optimal mesh choice in the numerical solution of the heat equation ⋮ On shape preserving semigroups ⋮ Qualitative analysis of one-step iterative methods and consistent matrix splittings ⋮ On positivity, shape, and norm-bound preservation of time-stepping methods for semigroups ⋮ Some integral properties of the heat equation ⋮ Qualitatively Correct Discretizations in an Air Pollution Model ⋮ Shape-preserving properties and asymptotic behaviour of the semigroup generated by the Black-Scholes operator ⋮ On the monotonicity conservation in numerical solutions of the heat equation

Cites Work

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