If you utilize the TS ODE/DAE solvers please cite
@article{abhyankar2018petsc, author={Abhyankar, Shrirang and Brown, Jed and Constantinescu, Emil M and Ghosh, Debojyoti and Smith, Barry F and Zhang, Hong}, title={PETSc/TS: A Modern Scalable ODE/DAE Solver Library}, journal={arXiv preprint arXiv:1806.01437}, year={2018} }If you utilize the TS adjoint solver please cite
@article{zhang2019, author = {Zhang, Hong and Constantinescu, Emil M. and Smith, Barry F.}, title = {{{PETSc TSAdjoint: a discrete adjoint ODE solver for first-order and second-order sensitivity analysis}}, journal = {arXiv e-preprints}, eprint = {1912.07696}, archivePrefix = {arXiv}, year={2019} }Also please cite the following:
@Misc{petsc-web-page, author = {Satish Balay and Shrirang Abhyankar and Mark~F. Adams and Jed Brown and Peter Brune and Kris Buschelman and Lisandro Dalcin and Alp Dener and Victor Eijkhout and William~D. Gropp and Dmitry Karpeyev and Dinesh Kaushik and Matthew~G. Knepley and Dave~A. May and Lois Curfman McInnes and Richard Tran Mills and Todd Munson and Karl Rupp and Patrick Sanan and Barry~F. Smith and Stefano Zampini and Hong Zhang and Hong Zhang}, title = {{PETS}c {W}eb page}, url = {https://www.mcs.anl.gov/petsc}, howpublished = {\url{https://www.mcs.anl.gov/petsc}}, year = {2021} } @TechReport{petsc-user-ref, author = {Satish Balay and Shrirang Abhyankar and Mark~F. Adams and Jed Brown and Peter Brune and Kris Buschelman and Lisandro Dalcin and Alp Dener and Victor Eijkhout and William~D. Gropp and Dmitry Karpeyev and Dinesh Kaushik and Matthew~G. Knepley and Dave~A. May and Lois Curfman McInnes and Richard Tran Mills and Todd Munson and Karl Rupp and Patrick Sanan and Barry~F. Smith and Stefano Zampini and Hong Zhang and Hong Zhang}, title = {{PETS}c Users Manual}, institution = {Argonne National Laboratory}, year = 2021, number = {ANL-95/11 - Revision 3.15}, url = {https://www.mcs.anl.gov/petsc} } @InProceedings{petsc-efficient, Author = "Satish Balay and William D. Gropp and Lois Curfman McInnes and Barry F. Smith", Title = "Efficient Management of Parallelism in Object Oriented Numerical Software Libraries", Booktitle = "Modern Software Tools in Scientific Computing", Editor = "E. Arge and A. M. Bruaset and H. P. Langtangen", Pages = "163--202", Publisher = "Birkh{\"{a}}user Press", Year = "1997" }