On the monotonicity conservation in numerical solutions of the heat equation

Applied Numerical Mathematics

Volumn 42, Issue 1-3, 2002, Pages 189-199

  Horváth, Róbert ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Heat equation; Monotonicity conservation; Numerical solution; Qualitative properties

Indexed keywords

BOUNDARY CONDITIONS; ITERATIVE METHODS; THEOREM PROVING; VECTORS;

HEAT EQUATIONS; MONOTONICITY CONSERVATIONS;

CONVERGENCE OF NUMERICAL METHODS;

EID: 0036679788     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(01)00150-7     Document Type: Conference Paper

References (9)

1. Nonnegativity of the difference schemes
2. Preserving concavity in initial-boundary value problems of parabolic type and its numerical solution
3. Vorzeichenstabile differenzenverfahren für parabolische anfangsrandwertaufgaben
4. Maximum norm contractivity in the numerical solution of the one-dimensional heat equation
5. On the sign-stability of the numerical solution of the heat equation
6. Maximum norm contractivity of discretization schemes for the heat equation