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+References and acknowledgements
+===============================
+
+Citing tlm_adjoint
+------------------
+
+tlm_adjoint is described in
+
+- James R. Maddison, Daniel N. Goldberg, and Benjamin D. Goddard, 'Automated
+  calculation of higher order partial differential equation constrained
+  derivative information', SIAM Journal on Scientific Computing, 41(5), pp.
+  C417--C445, 2019, doi: 10.1137/18M1209465
+
+The automated assembly and linear solver caching applied by tlm_adjoint is
+based on the approach described in
+
+- J. R. Maddison and P. E. Farrell, 'Rapid development and adjoining of
+  transient finite element models', Computer Methods in Applied Mechanics and
+  Engineering, 276, 95--121, 2014, doi: 10.1016/j.cma.2014.03.010
+
+Checkpointing with tlm_adjoint is described in
+
+- James R. Maddison, 'Step-based checkpointing with high-level algorithmic
+  differentiation', Journal of Computational Science 82, 102405, 2024,
+  doi: 10.1016/j.jocs.2024.102405
+
+References
+----------
+
+dolfin-adjoint
+``````````````
+
+tlm_adjoint implements high-level algorithmic differentiation using an
+approach based on that used by dolfin-adjoint, described in
+
+- P. E. Farrell, D. A. Ham, S. W. Funke, and M. E. Rognes, 'Automated
+  derivation of the adjoint of high-level transient finite element programs',
+  SIAM Journal on Scientific Computing 35(4), pp. C369--C393, 2013,
+  doi: 10.1137/120873558
+
+tlm_adjoint was developed from a custom extension to dolfin-adjoint.
+
+Taylor remainder convergence testing
+````````````````````````````````````
+
+The functions in `tlm_adjoint/verification.py
+<autoapi/tlm_adjoint/verification/index.html>`_ implement Taylor remainder
+convergence testing using the approach described in
+
+- P. E. Farrell, D. A. Ham, S. W. Funke, and M. E. Rognes, 'Automated
+  derivation of the adjoint of high-level transient finite element programs',
+  SIAM Journal on Scientific Computing 35(4), pp. C369--C393, 2013,
+  doi: 10.1137/120873558
+
+Differentiating fixed-point problems
+````````````````````````````````````
+
+The `FixedPointSolver` class in `tlm_adjoint/fixed_point.py
+<autoapi/tlm_adjoint/fixed_point/index.html>`_ derives tangent-linear and
+adjoint information using the approach described in
+
+- Jean Charles Gilbert, 'Automatic differentiation and iterative processes',
+  Optimization Methods and Software, 1(1), pp. 13--21, 1992,
+  doi: 10.1080/10556789208805503
+- Bruce Christianson, 'Reverse accumulation and attractive fixed points',
+  Optimization Methods and Software, 3(4), pp. 311--326, 1994,
+  doi: 10.1080/10556789408805572
+
+Binomial checkpointing
+``````````````````````
+
+The `MultistageCheckpointSchedule` class in
+`tlm_adjoint/checkpoint_schedules/binomial.py
+<autoapi/tlm_adjoint/checkpoint_schedules/binomial/index.html>`_ implements the
+binomial checkpointing strategy described in
+
+- Andreas Griewank and Andrea Walther, 'Algorithm 799: revolve: an
+  implementation of checkpointing for the reverse or adjoint mode of
+  computational differentiation', ACM Transactions on Mathematical Software,
+  26(1), pp. 19--45, 2000, doi: 10.1145/347837.347846
+
+The `MultistageCheckpointSchedule` class determines a memory/disk storage
+distribution using an initial run of the checkpoint schedule, leading to a
+distribution equivalent to that in
+
+- Philipp Stumm and Andrea Walther, 'MultiStage approaches for optimal offline
+  checkpointing', SIAM Journal on Scientific Computing, 31(3), pp. 1946--1967,
+  2009, doi: 10.1137/080718036
+
+The `TwoLevelCheckpointSchedule` class in
+`tlm_adjoint/checkpoint_schedules/binomial.py
+<autoapi/tlm_adjoint/checkpoint_schedules/binomial/index.html>`_ implements the
+two-level mixed periodic/binomial checkpointing approach described in
+
+- Gavin J. Pringle, Daniel C. Jones, Sudipta Goswami, Sri Hari Krishna
+  Narayanan, and Daniel Goldberg, 'Providing the ARCHER community with adjoint
+  modelling tools for high-performance oceanographic and cryospheric
+  computation', version 1.1, EPCC, 2016
+
+and in the supporting information for
+
+- D. N. Goldberg, T. A. Smith, S. H. K. Narayanan, P. Heimbach, and M.
+  Morlighem,, 'Bathymetric influences on Antarctic ice-shelf melt rates',
+  Journal of Geophysical Research: Oceans, 125(11), e2020JC016370, 2020,
+  doi: 10.1029/2020JC016370
+
+PyTorch
+```````
+
+The PyTorch interface in `tlm_adjoint/torch.py
+<autoapi/tlm_adjoint/torch/index.html>`_ follows the same principles as
+described in
+
+    - Nacime Bouziani and David A. Ham, 'Physics-driven machine learning models
+      coupling PyTorch and Firedrake', 2023, arXiv:2303.06871v3
+
+Funding
+-------
+
+Early development work leading to tlm_adjoint was conducted as part of a U.K.
+Natural Environment Research Council funded project (NE/L005166/1). Further
+development has been conducted as part of a U.K. Engineering and Physical
+Sciences Research Council funded project (EP/R021600/1) and a Natural
+Environment Research Council funded project (NE/T001607/1).