Fortran Object oriented Ordinary Differential Equations integration library
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Modern Fortran standards (2003+) have introduced support for Object-Oriented Programming (OOP). Exploiting new features like Abstract Data Type (ADT) is now possible to develop a KISS library providing an awesome environment for the numerical integration of Differential-equations such as Ordinary and Partial Differential Eqautions (ODE, PDE). FOODIE is tailored to the systems arising from the semi-discretization of PDEs, but it is not limited to them.
The FOODIE environment allows the (numerical) solution of general, non linear differential equations system of the form:
The FOODIE has two main purposes:
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FOODIE is aimed to be a KISS-pure-Fortran library for integrating Ordinary Differential Equations (ODE), it being:
Any feature request is welcome.
 High Order Strong Stability Preserving Time Discretizations, Gottlieb, S., Ketcheson, D. I., Shu, C.W., Journal of Scientific Computing, vol. 38, N. 3, 2009, pp. 251–289.
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 A tenth-order Runge-Kutta method with error estimate, Feagin, T., Proceedings of the IAENG Conf. on Scientific Computing. 2007.
 Strong Stability Preserving Runge-Kutta and Multistep Time Discretizations, S. Gottlieb, D. Ketcheson, C.W. Shu, 2011, 978-981-4289-26-9, doi:10.1142/7498, World Scientific Publishing Co. Pte. Ltd.
 Strong Stability Preserving Explicit Linear Multistep Methods with Variable Step Size, Y. Hadjimichael, D. Ketcheson, L. Lóczi, A. Németh, 2016, SIAM J. Numer. Anal., 54(5), 2799–2832.DOI:10.1137/15M101717X.
 Explicit Strong Stability Preserving Multistep Runge-Kutta Methods, C. Bresten, S. Gottlieb, Z. Grant, D. Higgs, D. Ketcheson, A. Nemeth, Mathematics of Computation, 2016, http://dx.doi.org/10.1090/mcom/3115.
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FOODIE project is young, but developed with love. Many integrators have been implemented using the Rouson's Abstract Data Type Pattern and tested with complex problems, but the library API is still in beta testing status. Nevertheless, FOODIE is already proven to be able to integrate a wide range of different ODE problems, from pure ODEs (Lorenz and inertial oscillations equations) to complex PDEs (Burgers and Euler equations), see the documentation.
We are searching for Fortraners enthusiast joining our team!
FOODIE is an open source project, it is distributed under a multi-licensing system:
Anyone is interest to use, to develop or to contribute to FOODIE is welcome, feel free to select the license that best matches your soul!
More details can be found on wiki.
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Besides this README file the FOODIE documentation is contained into its own wiki. Detailed documentation of the API is contained into the GitHub Pages that can also be created locally by means of ford tool.