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Official development repository for SUNDIALS - a SUite of Nonlinear and DIfferential/ALgebraic equation Solvers. Pull requests are welcome for bug fixes and minor changes.

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# SUNDIALS: SUite of Nonlinear and DIfferential/ALgebraic equation Solvers #

[![GitHub Release](https://img.shields.io/github/v/release/llnl/sundials)](https://github.com/llnl/sundials/releases/latest)
[![PyPI - Version](https://img.shields.io/pypi/v/sundials4py?label=sundials4py)](https://pypi.org/project/sundials4py/)
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### Version 7.8.0 (Jun 2026) ###

**Center for Applied Scientific Computing, Lawrence Livermore National Laboratory**

SUNDIALS is a family of software packages providing robust and efficient time
integrators and nonlinear solvers that can easily be incorporated into existing
simulation codes. The library is primarily written in C with interfaces to C++,
[Fortran](https://sundials.readthedocs.io/en/latest/Fortran/index.html), and
[Python](https://sundials.readthedocs.io/en/latest/Python/index.html) (beta
version) and provides support for serial, threaded, distributed, and GPU
accelerated computing. The packages are designed to require minimal information
from the user, allow users to supply their own data structures underneath the
packages, and enable interfacing with user-supplied or third-party algebraic
solvers and preconditioners.

The SUNDIALS suite consists of the following packages for ordinary differential
equation (ODE) systems, differential-algebraic equation (DAE) systems, and
nonlinear algebraic systems:

* ARKODE - for integrating stiff, nonstiff, and multirate ODEs of the form

$$M(t) y' = f_1(t,y) + f_2(t,y), \quad y(t_0) = y_0$$

* CVODE - for integrating stiff and nonstiff ODEs of the form

$$y' = f(t,y), \quad y(t_0) = y_0$$

* CVODES - for integrating and sensitivity analysis (forward and adjoint) of
  ODEs of the form

$$y' = f(t,y,p), \quad y(t_0) = y_0(p)$$

* IDA - for integrating DAEs of the form

$$F(t,y,y') = 0, \quad y(t_0) = y_0, \quad y'(t_0) = y_0'$$

* IDAS - for integrating and sensitivity analysis (forward and adjoint) of DAEs
  of the form

$$F(t,y,y',p) = 0, \quad y(t_0) = y_0(p), \quad y'(t_0) = y_0'(p)$$

* KINSOL - for solving nonlinear algebraic systems of the form

$$F(u) = 0 \quad \text{or} \quad G(u) = u$$

## Installation ##

For installation directions, see the [getting started](https://sundials.readthedocs.io/en/latest/sundials/index.html#getting-started)
section in the online documentation. In the [released tarballs](https://github.com/LLNL/sundials/releases),
installation directions are also available in `INSTALL_GUIDE.pdf` and the
installation chapter of the user guides in the `doc` directory.

Warning to users who receive more than one of the individual packages at
different times: Mixing old and new versions of SUNDIALS may fail. To avoid such
failures, obtain all desired package at the same time.

### Python

sundials4py can be installed with pip with wheels available through pypi,

```
pip install sundials4py
```

or from source

```
pip install git+https://github.com/llnl/sundials.git
```

## Support ##

Full user guides for all of the SUNDIALS packages are available [online](https://sundials.readthedocs.io).
In the [released tarballs](https://github.com/LLNL/sundials/releases), the `doc`
directory includes PDFs of the user guides and documentation for the example
programs. The example program documentation PDFs are also available on the
[releases page](https://github.com/LLNL/sundials/releases).

For information on recent changes to SUNDIALS see the [CHANGELOG](./CHANGELOG.md)
or the introduction chapter of any package user guide.

A list of Frequently Asked Questions on build and installation procedures as
well as common usage issues is available on the SUNDIALS
[FAQ](https://computing.llnl.gov/projects/sundials/faq). For dealing with
systems with nonphysical solutions or discontinuities see the SUNDIALS
[usage notes](https://computing.llnl.gov/projects/sundials/usage-notes).

If you have a question not covered in the FAQ or usage notes, please submit your
question as a [GitHub issue](https://github.com/LLNL/sundials/issues) or to the
SUNDIALS [mailing list](https://computing.llnl.gov/projects/sundials/mailing-list).

## Contributing ##

Bug fixes or minor changes are preferred via a pull request to the
[SUNDIALS GitHub repository](https://github.com/LLNL/sundials). For more
information on contributing see the [CONTRIBUTING](./CONTRIBUTING.md) file.

## Citing ##

See the [online documentation](https://sundials.readthedocs.io/en/latest/index.html#citing)
or [CITATIONS](./CITATIONS.md) file for information on how to cite SUNDIALS in
any publications reporting work done using SUNDIALS packages.

## Authors ##

The SUNDIALS library has been developed over many years by a number of
contributors. The current SUNDIALS team consists of Cody J. Balos,
David J. Gardner, Alan C. Hindmarsh, Daniel R. Reynolds, Steven B. Roberts, and
Carol S. Woodward. We thank Radu Serban for significant and critical past
contributions.

Other contributors to SUNDIALS include: Mustafa Aggul, James Almgren-Bell, Lawrence E. Banks,
Peter N. Brown, George Byrne, Rujeko Chinomona, Scott D. Cohen, Aaron Collier,
Keith E. Grant, Steven L. Lee, Shelby L. Lockhart, John Loffeld, Daniel McGreer,
Yu Pan, Slaven Peles, Cosmin Petra, H. Hunter Schwartz, Jean M. Sexton,
Dan Shumaker, Steve G. Smith, Shahbaj Sohal, Allan G. Taylor,
Hilari C. Tiedeman, Chris White, Ting Yan, and Ulrike M. Yang.

## Acknowledgements ##

This material is based on work supported by the U.S. Department of Energy,
Office of Science, Office of Advanced Scientific Computing Research, Scientific
Discovery through Advanced Computing (SciDAC) program via the Frameworks,
Algorithms, and Scalable Technologies for Mathematics (FASTMath) Institute under
DOE awards DE-AC52-07NA27344 and DE-SC-0021354.

This material is also based on work supported by the U.S. Department of Energy,
Office of Science, Office of Advanced Scientific Computing Research,
Next-Generation Scientific Software Technologies program under contract
DE-AC52-07NA27344.  Additional support is also provided by SciDAC
partnerships with the U.S. Department of Energy’s FES, NP, BES, OE, and BER
offices as well as the LLNL Institutional Scientific Capability Portfolio.

## License ##

SUNDIALS is released under the BSD 3-clause license. See the [LICENSE](./LICENSE)
and [NOTICE](./NOTICE) files for details. All new contributions must be made
under the BSD 3-clause license.

**Please Note** If you are using SUNDIALS with any third party libraries linked
in (e.g., LAPACK, KLU, SuperLU_MT, PETSc, *hypre*, etc.), be sure to review the
respective license of the package as that license may have more restrictive
terms than the SUNDIALS license.

```
SPDX-License-Identifier: BSD-3-Clause

LLNL-CODE-667205  (ARKODE)
UCRL-CODE-155951  (CVODE)
UCRL-CODE-155950  (CVODES)
UCRL-CODE-155952  (IDA)
UCRL-CODE-237203  (IDAS)
LLNL-CODE-665877  (KINSOL)
```

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