Proceedings of the on Numerical methods for differential equations
Additive and iterative operator splitting methods and their numerical investigation
Computers & Mathematics with Applications
Wave analysis for different splittings of the shallow water equations on the β-plane
Computers & Mathematics with Applications
Wave analysis of different splitting methods in the linearised shallow water equations
International Journal of Computational Science and Engineering
Testing the accuracy of a data assimilation algorithm
International Journal of Computational Science and Engineering
Computational complexity of weighted splitting schemes on parallel computers
International Journal of Parallel, Emergent and Distributed Systems
Efficient implementation of stable Richardson Extrapolation algorithms
Computers & Mathematics with Applications
On DSMC Calculations of Rarefied Gas Flows with Small Number of Particles in Cells
SIAM Journal on Scientific Computing
Dispersion analysis of operator splittings in the linearized shallow water equations
LSSC'05 Proceedings of the 5th international conference on Large-Scale Scientific Computing
Parallel computation of sensitivity analysis data for the danish eulerian model
LSSC'11 Proceedings of the 8th international conference on Large-Scale Scientific Computing
Computers & Mathematics with Applications
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In this paper the splitting error arising in the Danish Eulerian Model is investigated. Sufficient conditions under which the local splitting error vanishes are formulated for the continuous case. The numerical solution of the model problem introduces several other error sources, which makes the task of determining the effect of the splitting error more complicated. Therefore, we need numerical examples which will allow us to separate the splitting errors from the other errors in order to evaluate both the magnitude of these errors and the relationships between splitting errors and other errors for different values of the discretization parameters. Several such examples have been constructed and analysed. The appropriate conclusions were drawned. The experiences obtained from these experiments can be a starting step towards a total error analysis of the numerical solution of split systems of partial differential equations.