FiPy swMATH ID: 10791 Software Authors: J. E. Guyer; D. Wheeler; J. A. Warren Description: FiPy: A Finite Volume PDE Solver Using Python. FiPy is an object oriented, partial differential equation (PDE) solver, written in Python, based on a standard finite volume (FV) approach. The framework has been developed in the Materials Science and Engineering Division (MSED) and Center for Theoretical and Computational Materials Science (CTCMS), in the Material Measurement Laboratory (MML) at the National Institute of Standards and Technology (NIST). The solution of coupled sets of PDEs is ubiquitous to the numerical simulation of science problems. Numerous PDE solvers exist, using a variety of languages and numerical approaches. Many are proprietary, expensive and difficult to customize. As a result, scientists spend considerable resources repeatedly developing limited tools for specific problems. Our approach, combining the FV method and Python, provides a tool that is extensible, powerful and freely available. A significant advantage to Python is the existing suite of tools for array calculations, sparse matrices and data rendering. The FiPy framework includes terms for transient diffusion, convection and standard sources, enabling the solution of arbitrary combinations of coupled elliptic, hyperbolic and parabolic PDEs. Currently implemented models include phase field [BoettingerReview:2002] [ChenReview:2002] [McFaddenReview:2002] treatments of polycrystalline, dendritic, and electrochemical phase transformations as well as a level set treatment of the electrodeposition process [NIST:damascene:2001]. Homepage: http://www.ctcms.nist.gov/fipy/ Related Software: Python; FEniCS; PETSc; Adam; PyTorch; TensorFlow; Matlab; OpenFOAM; NumPy; SciPy; Matplotlib; COMSOL; Trilinos; MOOSE; ADADELTA; RMSprop; Delve Datasets; L-BFGS; PRMLT; EnKF Cited in: 22 Publications all top 5 Cited by 67 Authors 2 Bilionis, Ilias 2 Boso, Francesca 2 De Staelen, Rob H. 2 Goessens, Tineke 2 Lin, Jian Jhong 2 Malengier, Benny 2 Tartakovsky, Daniel M. 2 Tripathy, Rohit K. 2 Yang, Ting-Hui 1 Aceto, Lidia 1 Ahmadia, Aron J. 1 Alghamdi, Amal 1 Barton, Nick H. 1 Bertaccini, Daniele 1 Cannon, C. L. 1 Chen, Weiliang 1 Clemons, Curtis B. 1 Constales, Denis 1 Cuomo, Salvatore 1 de la Cruz, Luis M. 1 De Luna, Manuel Quezada 1 De Schutter, Erik 1 Durastante, Fabio 1 Emmett, Matthew 1 Etheridge, Alison Mary 1 Francois, Marianne M. 1 Ghosh, Supriyo 1 Gnoli, Andrea 1 Han, Jiequn 1 Hepburn, Iain 1 Johansson, J. Robert 1 Karumuri, Sharmila 1 Kelleher, Jerome 1 Ketcheson, David I. 1 Knepley, Matthew G. 1 Kuhlman, Kristopher L. 1 Kühn, Christian 1 Latif, Majid jun. 1 Leid, J. G. 1 Li, Pei 1 Malama, Bwalya 1 Mandli, Kyle T. 1 May, Elebeoba E. 1 Miller, James K. 1 Milsted, Amy 1 Nassar, Diaa Eldin M. 1 Newman, Christopher K. 1 Novati, Paolo 1 Panchal, Jitesh H. 1 Parsani, Matteo 1 Pontuale, Giorgio 1 Puglisi, Andrea 1 Ramos, Eduardo 1 Schiano Di Cola, Vincenzo 1 Severino, Gerardo 1 Simon, Cory M. 1 Stine, A. E. 1 Véber, Amandine 1 Vega Reyes, Francisco 1 Wang, Weiming 1 Wilber, J. Patrick 1 Xiao, Heng 1 Young, Gerald W. 1 Youngs, Wiley J. 1 Yun, Yang H. 1 Zhao, Caidi 1 Zhou, Xu-Hui all top 5 Cited in 16 Serials 5 Journal of Computational Physics 2 SIAM Journal on Scientific Computing 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Fluid Mechanics 1 Mathematical Biosciences 1 Bulletin of Mathematical Biology 1 ACM Transactions on Mathematical Software 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Theoretical Population Biology 1 Journal of Computational Neuroscience 1 Discrete and Continuous Dynamical Systems. Series B 1 Mathematical Geosciences 1 International Journal of Biomathematics 1 Journal of Mathematical Modelling and Algorithms in Operations Research 1 Results in Applied Mathematics all top 5 Cited in 12 Fields 12 Numerical analysis (65-XX) 9 Partial differential equations (35-XX) 8 Fluid mechanics (76-XX) 7 Biology and other natural sciences (92-XX) 4 Computer science (68-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year