# On the convergence of operator splitting applied to conservation laws with source terms

@article{Langseth1996OnTC, title={On the convergence of operator splitting applied to conservation laws with source terms}, author={Jan Olav Langseth and Aslak Tveito and Ragnar Winther}, journal={SIAM Journal on Numerical Analysis}, year={1996}, volume={33}, pages={843-863} }

The order of convergence for operator splitting applied to conservation laws with source terms is studied. The operator splitting procedure is based on local solutions of the associated homogeneous conservation law and an ordinary differential equation. We prove that, for scalar problems, the error introduced by the splitting is linear with respect to the time step. The theoretical results are illustrated by numerical examples.

## 43 Citations

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