You are here: Home / Resources / Software: Download / SW4 / How to cite


By N. Anders Petersson1, Bjorn Sjögreen1, Houjun Tang2, Ramesh Pankajakshan1

1. Lawrence Livermore National Laboratory 2. Lawrence Berkeley National Laboratory

Body Text

We use SW4 3.0 ( Sjögreen and Petersson, 2012; Petersson and Sjögreen, 2012; Petersson and Sjögreen, 2017; Petersson and Sjögreen, 2015; Petersson and Sjögreen, 2023; Zhang et al., 2021) published under the GPL 2 license.


We thank the Computational Infrastructure for Geodynamics ( which is funded by the National Science Foundation under awards EAR-0949446, 1550901 and 2149126.

Cite Code As

Petersson, N. Anders, Sjogreen, Bjorn, Tang, Houjun, & Pankajakshan, Ramesh. (2023, September 6). geodynamics/sw4: SW4, version 3.0 (Version v3.0). Zenodo.

Primary References

Sjögreen, B.; Petersson, N.A. (2012), A Fourth Order Accurate Finite Difference Scheme for the Elastic Wave Equation in Second Order Formulation, Journal of Scientific Computing, 52 (1) , 17-48, doi: 10.1007/s10915-011-9531-1, url:

Petersson, N.A.; Sjögreen, B. (2012), Stable and efficient modeling of anelastic attenuation in seismic wave propagation, Communications in Computational Physics, 12 (01) , 193-225

Petersson, N.A.; Sjögreen, B. (2023), User's guide to SW4, version 3.0, LLNL-SM-741439 (LLNL-SM-741439)

Petersson, N.A.; Sjögreen, B. (2015), Wave propagation in anisotropic elastic materials and curvilinear coordinates using a summation-by-parts finite difference method, Journal of Computational Physics, 299, 820-841, doi: 10.1016/, url:

Zhang, L.;  Wang, S.; and Petersson, N.A. (2021), Elastic Wave Propagation in Curvilinear Coordinates with Mesh Refinement Interfaces by a Fourth Order Finite Difference Method, SIAM J. Sci. Comp.  43(2) pp. A1472-A1496. doi:10.1137/20M1339702


For previous versions, Primary References and Acknowledgements are the same as above.  For other fields, please substitute the appropriate version and year.

Download references [.bib]