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FiPy: Partial Differential Equations with Python
May/June 2009 (vol. 11 no. 3)
pp. 6-15
ASCII Text
x 
 
Jonathan E. Guyer, Daniel Wheeler, James A. Warren, "FiPy: Partial Differential Equations with Python," Computing in Science and Engineering, vol. 11, no. 3, pp. 6-15, May/June, 2009.
 
 
BibTex
x
 
@article{ 10.1109/MCSE.2009.52,
author = {Jonathan E. Guyer and Daniel Wheeler and James A. Warren},
title = {FiPy: Partial Differential Equations with Python},
journal ={Computing in Science and Engineering},
volume = {11},
number = {3},
issn = {1521-9615},
year = {2009},
pages = {6-15},
doi = {http://doi.ieeecomputersociety.org/10.1109/MCSE.2009.52},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - MGZN
JO - Computing in Science and Engineering
TI - FiPy: Partial Differential Equations with Python
IS - 3
SN - 1521-9615
SP6
EP15
EPD - 6-15
A1 - Jonathan E. Guyer,
A1 - Daniel Wheeler,
A1 - James A. Warren,
PY - 2009
KW - partial differential equations; Python; phase field; computing in science and engineering
VL - 11
JA - Computing in Science and Engineering
ER -
 
Jonathan E. Guyer, US National Institute of Standards and Technology
Daniel Wheeler, US National Institute of Standards and Technology
James A. Warren, US National Institute of Standards and Technology
Partial differential equations (PDEs) are ubiquitous to the mathematical description of physical phenomena. Typical examples describe the evolution of a field in time as a function of its value in space, such as in wave propagation or heat flow. Many existing PDE solver packages focus on the important, but arcane, task of actually numerically solving the linearized set of algebraic equations that result from the discretization of a set of PDEs, but the need for many researchers is often higher level than that. They have the physical knowledge to describe their model, and can apply differential calculus to obtain appropriate governing conditions, but when faced with rendering those governing equations on a computer, their skills (or time) are limited to explicit finite differences on uniform square grids. Of the PDE solver packages that focus on an appropriately high level, many are proprietary, expensive, and difficult to customize. Consequently, scientists spend considerable resources repeatedly developing limited tools for specific problems.

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Index Terms:
partial differential equations; Python; phase field; computing in science and engineering
Citation:
Jonathan E. Guyer, Daniel Wheeler, James A. Warren, "FiPy: Partial Differential Equations with Python," Computing in Science and Engineering, vol. 11, no. 3, pp. 6-15, May-June 2009, doi:10.1109/MCSE.2009.52
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