Automatic Generation of Efficient Adjoint Code for a Parallel Navier-Stokes Solver. - Patrick Heimbach; Chris Hill; Ralf Giering (International Conference on Computational Science (2), 2002)

Coupling Tangent-Linear and Adjoint Models. - Uwe Naumann; Patrick Heimbach (ICCSA (2), 2003)

An efficient exact adjoint of the parallel MIT General Circulation Model, generated via automatic differentiation. - Patrick Heimbach; Chris Hill; Ralf Giering (Future Gener. Comput. Syst., 2005)

OpenAD/F: A Modular Open-Source Tool for Automatic Differentiation of Fortran Codes. - Jean Utke; Uwe Naumann; Michael W. Fagan; Nathan R. Tallent; Michelle Mills Strout; Patrick Heimbach; Chris Hill; Carl Wunsch (ACM Trans. Math. Softw., 2008)

Toward adjoinable MPI. - Jean Utke; Laurent Hascoët; Patrick Heimbach; Chris Hill; Paul D. Hovland; Uwe Naumann (IPDPS, 2009)

A Hessian-Based Method for Uncertainty Quantification in Global Ocean State Estimation. - Alexander G. Kalmikov; Patrick Heimbach (SIAM J. Sci. Comput., 2014)

Arctic Ocean-Sea Ice Interactions. - Greg Foss; An Nguyen; Victor Ocaña; Patrick Heimbach (PEARC, 2018)

Analytics Center Framework for Estimating the Circulation and Climate of the Ocean. - Thomas Huang 001; Maya DeBellis; Ian Fenty; Patrick Heimbach; Joseph C. Jacob; Ou Wang; Elizabeth Yam (IGARSS, 2019)

The imperative of physics-based modeling and inverse theory in computational science. - Karen E. Willcox; Omar Ghattas; Patrick Heimbach (Nat. Comput. Sci., 2021)

The Computational Science of Klaus Hasselmann. - Patrick Heimbach (Comput. Sci. Eng., 2022)

SICOPOLIS-AD v2: tangent linear and adjoint modeling framework for ice sheet modeling enabled by automatic differentiation tool Tapenade. - Shreyas Sunil Gaikwad; Laurent Hascoët; Sri Hari Krishna Narayanan; Liz Curry-Logan; Ralf Greve; Patrick Heimbach (J. Open Source Softw., 2023)

Parametric Sensitivities of a Wind-driven Baroclinic Ocean Using Neural Surrogates. - Yixuan Sun; Elizabeth Cucuzzella; Steven Brus; Sri Hari Krishna Narayanan; Balasubramanya T. Nadiga; Luke Van Roekel; Jan Hückelheim; Sandeep Madireddy; Patrick Heimbach (PASC, 2024)

Differentiable Programming for Differential Equations: A Review. - Facundo Sapienza; Jordi Bolibar; Frank Schäfer; Brian Groenke; Avik Pal; Victor Boussange; Patrick Heimbach; Giles Hooker; Fernando Pérez; Per-Olof Persson; Christopher Rackauckas (CoRR, 2024)

MITgcm-AD v2: Open source tangent linear and adjoint modeling framework for the oceans and atmosphere enabled by the Automatic Differentiation tool Tapenade. - Shreyas Sunil Gaikwad; Sri Hari Krishna Narayanan; Laurent Hascoët; Jean-Michel Campin; Helen Pillar; An Nguyen; Jan Hückelheim; Paul D. Hovland; Patrick Heimbach (Future Gener. Comput. Syst., 2025)