- class sumpy.tools.ExprDerivativeTaker(expr, var_list, rscale=1, sac=None)#
Facilitates the efficient computation of (potentially) high-order derivatives of a given
sympyexpression expr while attempting to maximize the number of common subexpressions generated.
This class defines the interface and realizes a baseline implementation. More specialized implementations may offer better efficiency for special cases.
- class sumpy.tools.LaplaceDerivativeTaker(expr, var_list, rscale=1, sac=None)#
Specialized derivative taker for Laplace potential.
- class sumpy.tools.RadialDerivativeTaker(expr, var_list, rscale=1, sac=None)#
Specialized derivative taker for radial expressions.
- class sumpy.tools.HelmholtzDerivativeTaker(expr, var_list, rscale=1, sac=None)#
Specialized derivative taker for Helmholtz potential.
- class sumpy.tools.DifferentiatedExprDerivativeTaker(taker: ExprDerivativeTaker, derivative_coeff_dict: Dict[Tuple[int], Any])#
ExprDerivativeTakerinterface for an expression that is itself a linear combination of derivatives of a base expression. To take the actual derivatives, it makes use of an underlying derivative taker taker.
- A :class:`ExprDerivativeTaker` for the base expression.
- A dictionary mapping a derivative multi-index to a coefficient.
- The expression represented by this derivative taker is the linear
- combination of the derivatives of the expression for the
- base expression.
- class sumpy.symbolic.Basic#
The expression base class for the “heavy-duty” computer algebra toolkit in use. Either
- class sumpy.symbolic.SpatialConstant(name)#
A symbolic constant to represent a symbolic variable that is spatially constant, like for example the wave-number \(k\) in the setting of a constant-coefficient Helmholtz problem. For use in
sumpy.kernel.ExpressionKernel.expression. Any variable occurring there that is not a
SpatialConstantis assumed to have a spatial dependency.
This command should install
pip install sumpy
You may need to run this with sudo. If you don’t already have pip, run this beforehand:
curl -O https://raw.github.com/pypa/pip/master/contrib/get-pip.py python get-pip.py
For a more manual installation, download the source, unpack it, and say:
python setup.py install
In addition, you need to have
sumpy prefers using SymEngine but falls back to sympy if it
detects that SymEngine is not installed. To force the use of a particular
backend, set the environment variable SUMPY_FORCE_SYMBOLIC_BACKEND to
symengine or sympy.
This version is currently under development. You can get snapshots from sumpy’s git repository
sumpy is licensed to you under the MIT/X Consortium license:
Copyright (c) 2012-16 Andreas Klöckner
Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the “Software”), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED “AS IS”, WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
Frequently Asked Questions#
The FAQ is maintained collaboratively on the Wiki FAQ page.
Work on meshmode was supported in part by
the US National Science Foundation under grant numbers DMS-1418961, DMS-1654756, SHF-1911019, and OAC-1931577.
AK also gratefully acknowledges a hardware gift from Nvidia Corporation.
The views and opinions expressed herein do not necessarily reflect those of the funding agencies.