Petra Csomós

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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)
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)
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)
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)