#### Filter Results:

- Full text PDF available (9)

#### Publication Year

2005

2016

- This year (0)
- Last 5 years (6)
- Last 10 years (12)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Petra Csomós, István Faragó
- Mathematical and Computer Modelling
- 2008

The operator splitting method is a widely used approach for solving partial differential equations describing physical processes. Its application usually requires the use of certain numerical methods in order to solve the different split sub-problems. The error-analysis of such a numerical approach is a complex task. In the present paper we show that an… (More)

- Petra Csomós, Gregor Nickel
- Computers & Mathematics with Applications
- 2008

for the E-valued unknown function u, where E is a Banach space, B is the generator of a (linear) C0-semigroup on E, ut is the history function defined by ut(s) = u(t + s) and Φ is the delay operator. We will employ the semigroup approach on L-phase space (in the spirit of [4] and [5]) to be able to apply numerical splitting schemes to this problem. We prove… (More)

The convergence of various operator splitting procedures, such as the sequential, the Strang and the weighted splitting, is investigated in the presence of a spatial approximation. To this end the relevant notions and results of numerical analysis are presented, a variant of Chernoff’s product formula is proved and the general TrotterKato approximation… (More)

- Petra Csomós
- LSSC
- 2005

- András Bátkai, Petra Csomós, Bálint Farkas
- Computers & Mathematics with Applications
- 2013

- Petra Csomós, István Faragó, Imre Fekete
- FDM
- 2014

The paper serves as a review on the basic results showing how functional analytic tools have been applied in numerical analysis. It deals with abstract Cauchy problems and present how their solutions are approximated by using space and time discretisations. To this end we introduce and apply the basic notions of operator semigroup theory. The convergence is… (More)

- Petra Csomós, Ivan Tomov Dimov, István Faragó, Ágnes Havasi, Tzvetan Ostromsky
- IJPEDS
- 2007

In models of complicated physical-chemical processes operator splitting is very often applied in order to achieve sufficient accuracy as well as efficiency of the numerical solution. The recently rediscovered weighted splitting schemes have the great advantage of being parallelizable on operator level, which allows us to reduce the computational time if… (More)

- Petra Csomós, Hermann Mena
- NAA
- 2016

- Petra Csomós
- 2012

s of Talks In alphabetical order SECOND ORDER CONVERGENCE OF A LIE GROUP TIME INTEGRATION METHOD FOR CONSTRAINED MECHANICAL SYSTEMS Martin Arnold MARTIN LUTHER UNIVERSITY HALLE-WITTENBERG Classical ODE and DAE time integration methods have been applied successfully for more than two decades to constrained systems in technical mechanics. For large scale… (More)

We provide a general product formula for the solution of nonautonomous abstract delay equations. After having shown the convergence we obtain estimates on the order of convergence for differentiable history functions. Finally, the theoretical results are demonstrated on some typical numerical examples.