[HTML][HTML] Operator splitting for delay equations
Operator splitting methods are widely used for partial differential equations. Up until now,
they have not been used for delay differential equations. In this paper we introduce splitting …
they have not been used for delay differential equations. In this paper we introduce splitting …
[HTML][HTML] Sufficient conditions of the discrete maximum–minimum principle for parabolic problems on rectangular meshes
R Horváth - Computers & Mathematics with Applications, 2008 - Elsevier
New numerical models for simulation of physical and chemical phenomena have to meet
certain qualitative requirements, such as nonnegativity preservation, maximum–minimum …
certain qualitative requirements, such as nonnegativity preservation, maximum–minimum …
[HTML][HTML] On the sign-stability of numerical solutions of one-dimensional parabolic problems
R Horváth - Applied mathematical modelling, 2008 - Elsevier
The preservation of the qualitative properties of physical phenomena in numerical models of
these phenomena is an important requirement in scientific computations. In this paper, the …
these phenomena is an important requirement in scientific computations. In this paper, the …
[PDF][PDF] Theoretical and numerical analysis of operator splitting procedures
P Csomós - 2007 - teo.elte.hu
Methods In my thesis I apply the results of the fields of operator splitting procedures,
operator semigroup therory on Banach spaces (approximation and perturbation theory of …
operator semigroup therory on Banach spaces (approximation and perturbation theory of …