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sparse_grid
A Python Sparse Grid Package
sparse_grid is a pure-Python implementation of regular
sparse grids
over box domains. It provides hierarchical index generation, nodal-to-hierarchical
coefficient conversion, and fast function evaluation using the hat basis:
$$f_n(\mathbf{x}) = \sum_{\lvert\mathbf{l}\rvert_1 \le n+d-1} \sum_{\mathbf{p}} \alpha_{\mathbf{l},\mathbf{p}}, \prod_{i=1}^{d} \phi_{l_i, p_i}(x_i)$$
Quick example
from sparse_grid import SparseGrid
sg = SparseGrid(dim=2, level=3)
sg.generate_points()
for index in sg.indices:
pos = sg.g_p[tuple(index)].pos
sg.g_p[tuple(index)].fv = (
4.0 * pos[0] * (1.0 - pos[0]) * 4.0 * pos[1] * (1.0 - pos[1])
)
sg.nodal_2_hier()
print(sg.eval_funct([0.25, 0.75]))
Installation
pip install sparse_grid
Requires Python 3.10+. No external runtime dependencies. See the full installation guide for uv, poetry, and source builds.
Documentation
- Theory — mathematical background, hierarchical basis, algorithms
- Quickstart — runnable examples
- API Reference — class and function signatures
- References — literature citations
License
BSD-3-Clause — see LICENSE.
1 maintainer
Metadata
1 maintainer
Release files for sparse-grid 0.1.6
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