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Title: SpectralDiffX

Description: Pseudospectral differentiation, filtering, and PDE solvers in JAX — fully differentiable and JIT-compatible.

Generator: mkdocs-1.6.1, mkdocs-material-9.7.1

direct link

Domain: jejjohnson.github.io

author

J. Emmanuel Johnson

Links:

Skip to content	https://jejjohnson.github.io/spectraldiffx#spectraldiffx
	https://jejjohnson.github.io/
jejjohnson/spectraldiffx	https://github.com/jejjohnson/spectraldiffx
Home	https://jejjohnson.github.io/
Installation	https://jejjohnson.github.io/installation/
Quick Start	https://jejjohnson.github.io/quickstart/
Theory	https://jejjohnson.github.io/theory/
Guides	https://jejjohnson.github.io/transforms_guide/
Examples	https://jejjohnson.github.io/notebooks/demo_1d/
API Reference	https://jejjohnson.github.io/api/fourier/transforms/
	https://jejjohnson.github.io/
jejjohnson/spectraldiffx	https://github.com/jejjohnson/spectraldiffx
Home	https://jejjohnson.github.io/
Features	https://jejjohnson.github.io/spectraldiffx#features
Quick Start	https://jejjohnson.github.io/spectraldiffx#quick-start
Navigation	https://jejjohnson.github.io/spectraldiffx#navigation
Installation	https://jejjohnson.github.io/installation/
Quick Start	https://jejjohnson.github.io/quickstart/
Overview	https://jejjohnson.github.io/theory/
Fourier Pseudospectral Methods	https://jejjohnson.github.io/theory/fourier/
Spectral Transforms	https://jejjohnson.github.io/theory/spectral_transforms/
Elliptic Solvers	https://jejjohnson.github.io/theory/elliptic_solvers/
Capacitance Method	https://jejjohnson.github.io/theory/capacitance/
Chebyshev Pseudospectral Methods	https://jejjohnson.github.io/theory/chebyshev/
Spherical Harmonic Methods	https://jejjohnson.github.io/theory/spherical/
Spectral Transforms	https://jejjohnson.github.io/transforms_guide/
Elliptic Solvers	https://jejjohnson.github.io/elliptic_solvers_guide/
Capacitance Solver	https://jejjohnson.github.io/capacitance_guide/
1D Fourier Pseudospectral Differentiation	https://jejjohnson.github.io/notebooks/demo_1d/
2D Pseudospectral Operators	https://jejjohnson.github.io/notebooks/demo_2d/
Eigenfunction & Eigenvalue Gallery	https://jejjohnson.github.io/notebooks/eigenfunction_gallery/
Solver Comparison: Regular vs Staggered Grids	https://jejjohnson.github.io/notebooks/solver_comparison/
Mixed Per-Axis Boundary Conditions	https://jejjohnson.github.io/notebooks/mixed_bc_solvers/
Inhomogeneous Boundary Conditions	https://jejjohnson.github.io/notebooks/inhomogeneous_bcs/
Pseudo-Spectral vs Finite-Difference Eigenvalues	https://jejjohnson.github.io/notebooks/ps_vs_fd2_eigenvalues/
Spectral Elliptic PDE Solvers: Poisson & Helmholtz Equations	https://jejjohnson.github.io/notebooks/demo_elliptic_solvers/
Capacitance Matrix Method: Poisson & Helmholtz on Irregular Domains	https://jejjohnson.github.io/notebooks/demo_capacitance/
Decaying 2D Barotropic Quasi-Geostrophic Turbulence	https://jejjohnson.github.io/notebooks/demo_qg/
QG Turbulence with Adaptive Time Stepping (Diffrax)	https://jejjohnson.github.io/notebooks/pseudospectral_part2/
The Korteweg-de Vries Equation: Soliton Interactions	https://jejjohnson.github.io/notebooks/kdv/
2D Navier-Stokes (Vorticity) Simulation	https://jejjohnson.github.io/notebooks/navier_stokes_2d/
1.5-Layer Quasigeostrophic (QG) Model	https://jejjohnson.github.io/notebooks/qg_model/
Transforms	https://jejjohnson.github.io/api/fourier/transforms/
Eigenvalues	https://jejjohnson.github.io/api/fourier/eigenvalues/
Grids	https://jejjohnson.github.io/api/fourier/grids/
Operators	https://jejjohnson.github.io/api/fourier/operators/
Filters	https://jejjohnson.github.io/api/fourier/filters/
Solvers	https://jejjohnson.github.io/api/fourier/solvers/
Capacitance	https://jejjohnson.github.io/api/fourier/capacitance/
Grids	https://jejjohnson.github.io/api/chebyshev/grids/
Operators	https://jejjohnson.github.io/api/chebyshev/operators/
Filters	https://jejjohnson.github.io/api/chebyshev/filters/
Solvers	https://jejjohnson.github.io/api/chebyshev/solvers/
Grids	https://jejjohnson.github.io/api/spherical/grids/
Operators	https://jejjohnson.github.io/api/spherical/operators/
Filters	https://jejjohnson.github.io/api/spherical/filters/
Harmonics	https://jejjohnson.github.io/api/spherical/harmonics/
Solvers	https://jejjohnson.github.io/api/spherical/solvers/
Features	https://jejjohnson.github.io/spectraldiffx#features
Quick Start	https://jejjohnson.github.io/spectraldiffx#quick-start
Navigation	https://jejjohnson.github.io/spectraldiffx#navigation
¶	https://jejjohnson.github.io/spectraldiffx#spectraldiffx
JAX	https://github.com/google/jax
Equinox	https://github.com/patrick-kidger/equinox
¶	https://jejjohnson.github.io/spectraldiffx#features
¶	https://jejjohnson.github.io/spectraldiffx#quick-start
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	https://jejjohnson.github.io/spectraldiffx#__codelineno-0-13
¶	https://jejjohnson.github.io/spectraldiffx#navigation
Installation	https://jejjohnson.github.io/installation/
Quick Start	https://jejjohnson.github.io/quickstart/
Theory	https://jejjohnson.github.io/theory/
Examples	https://jejjohnson.github.io/notebooks/demo_1d/
API Reference	https://jejjohnson.github.io/api/fourier/grids/
Material for MkDocs	https://squidfunk.github.io/mkdocs-material/

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