py-pde
v0.17.3
  • 1. Getting started
    • 1.1. Install using pip
    • 1.2. Install using conda
    • 1.3. Install from source
      • 1.3.1. Required prerequisites
      • 1.3.2. Optional packages
      • 1.3.3. Downloading py-pde
    • 1.4. Package overview
  • 2. Examples
    • 2.1. Plotting a vector field
    • 2.2. Solving Laplace’s equation in 2d
    • 2.3. Plotting a scalar field in cylindrical coordinates
    • 2.4. Solving Poisson’s equation in 1d
    • 2.5. Simple diffusion equation
    • 2.6. Kuramoto-Sivashinsky - Using PDE class
    • 2.7. Spherically symmetric PDE
    • 2.8. Diffusion on a Cartesian grid
    • 2.9. Stochastic simulation
    • 2.10. Time-dependent boundary conditions
    • 2.11. Setting boundary conditions
    • 2.12. 1D problem - Using PDE class
    • 2.13. Brusselator - Using the PDE class
    • 2.14. Writing and reading trajectory data
    • 2.15. Diffusion equation with spatial dependence
    • 2.16. Using simulation trackers
    • 2.17. Schrödinger’s Equation
    • 2.18. Kuramoto-Sivashinsky - Using custom class
    • 2.19. Custom Class for coupled PDEs
    • 2.20. 1D problem - Using custom class
    • 2.21. Visualizing a scalar field
    • 2.22. Kuramoto-Sivashinsky - Compiled methods
    • 2.23. Solver comparison
    • 2.24. Custom PDE class: SIR model
    • 2.25. Brusselator - Using custom class
  • 3. User manual
    • 3.1. Mathematical basics
      • 3.1.1. Curvilinear coordinates
        • 3.1.1.1. Polar coordinates
        • 3.1.1.2. Spherical coordinates
        • 3.1.1.3. Cylindrical coordinates
      • 3.1.2. Spatial discretization
      • 3.1.3. Temporal evolution
    • 3.2. Basic usage
      • 3.2.1. Defining the geometry
      • 3.2.2. Initializing a field
      • 3.2.3. Specifying the PDE
      • 3.2.4. Running the simulation
      • 3.2.5. Analyzing the results
    • 3.3. Advanced usage
      • 3.3.1. Boundary conditions
      • 3.3.2. Custom PDE classes
      • 3.3.3. Low-level operators
        • 3.3.3.1. Differential operators
        • 3.3.3.2. Field integration
        • 3.3.3.3. Field interpolation
        • 3.3.3.4. Inner products
      • 3.3.4. Numba-accelerated PDEs
      • 3.3.5. Configuration parameters
    • 3.4. Performance
      • 3.4.1. Measuring performance
      • 3.4.2. Improving performance
    • 3.5. Contributing code
      • 3.5.1. Structure of the package
      • 3.5.2. Extending functionality
      • 3.5.3. Design choices
      • 3.5.4. Coding style
      • 3.5.5. Running unit tests
    • 3.6. Citing the package
    • 3.7. Code of Conduct
      • 3.7.1. Our Pledge
      • 3.7.2. Our Standards
      • 3.7.3. Our Responsibilities
      • 3.7.4. Scope
      • 3.7.5. Enforcement
      • 3.7.6. Attribution
  • 4. Reference manual
    • 4.1. pde.fields package
      • 4.1.1. pde.fields.base module
      • 4.1.2. pde.fields.collection module
      • 4.1.3. pde.fields.scalar module
      • 4.1.4. pde.fields.tensorial module
      • 4.1.5. pde.fields.vectorial module
    • 4.2. pde.grids package
      • 4.2.1. pde.grids.boundaries package
        • 4.2.1.1. Boundary conditions
        • 4.2.1.2. Boundaries overview
        • 4.2.1.3. pde.grids.boundaries.axes module
        • 4.2.1.4. pde.grids.boundaries.axis module
        • 4.2.1.5. pde.grids.boundaries.local module
      • 4.2.2. pde.grids.operators package
        • 4.2.2.1. pde.grids.operators.cartesian module
        • 4.2.2.2. pde.grids.operators.common module
        • 4.2.2.3. pde.grids.operators.cylindrical_sym module
        • 4.2.2.4. pde.grids.operators.polar_sym module
        • 4.2.2.5. pde.grids.operators.spherical_sym module
      • 4.2.3. pde.grids.base module
      • 4.2.4. pde.grids.cartesian module
      • 4.2.5. pde.grids.cylindrical module
      • 4.2.6. pde.grids.spherical module
    • 4.3. pde.pdes package
      • 4.3.1. pde.pdes.allen_cahn module
      • 4.3.2. pde.pdes.base module
      • 4.3.3. pde.pdes.cahn_hilliard module
      • 4.3.4. pde.pdes.diffusion module
      • 4.3.5. pde.pdes.kpz_interface module
      • 4.3.6. pde.pdes.kuramoto_sivashinsky module
      • 4.3.7. pde.pdes.laplace module
      • 4.3.8. pde.pdes.pde module
      • 4.3.9. pde.pdes.swift_hohenberg module
      • 4.3.10. pde.pdes.wave module
    • 4.4. pde.solvers package
      • 4.4.1. pde.solvers.base module
      • 4.4.2. pde.solvers.controller module
      • 4.4.3. pde.solvers.explicit module
      • 4.4.4. pde.solvers.implicit module
      • 4.4.5. pde.solvers.scipy module
    • 4.5. pde.storage package
      • 4.5.1. pde.storage.base module
      • 4.5.2. pde.storage.file module
      • 4.5.3. pde.storage.memory module
    • 4.6. pde.tools package
      • 4.6.1. pde.tools.cache module
      • 4.6.2. pde.tools.config module
      • 4.6.3. pde.tools.cuboid module
      • 4.6.4. pde.tools.docstrings module
      • 4.6.5. pde.tools.expressions module
      • 4.6.6. pde.tools.math module
      • 4.6.7. pde.tools.misc module
      • 4.6.8. pde.tools.numba module
      • 4.6.9. pde.tools.output module
      • 4.6.10. pde.tools.parameters module
      • 4.6.11. pde.tools.parse_duration module
      • 4.6.12. pde.tools.plotting module
      • 4.6.13. pde.tools.spectral module
      • 4.6.14. pde.tools.spherical module
      • 4.6.15. pde.tools.typing module
    • 4.7. pde.trackers package
      • 4.7.1. pde.trackers.base module
      • 4.7.2. pde.trackers.interactive module
      • 4.7.3. pde.trackers.intervals module
      • 4.7.4. pde.trackers.trackers module
    • 4.8. pde.visualization package
      • 4.8.1. pde.visualization.movies module
      • 4.8.2. pde.visualization.plotting module
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