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Scimba 1.0.0 documentation
Scimba 1.0.0 documentation

Tutorials (Notebooks)

  • Scimba basics I: approximation of the solution of a 2D Laplacian
  • Scimba basics II: Natural gradient preconditioners
  • Creating meshless domains
  • Defining a physical model
  • Saving and loading PINNs
  • Strong boundary conditions
  • Using Time-Discrete Schemes

Examples (Notebooks)

  • Deep Ritz: div A grad u 2D
  • Deep Ritz: 2D laplacian on a disk
  • PINNs: viscous Burgers 1D
  • PINNs: Inhomogeneous Helmholtz equation
  • PINNs: linearized Euler 1D
  • PINNs: grad-div system 2D
  • PINNs: Navier Stokes equation
  • Flows: pendulum
  • Time discrete: kinetic Vlasov in 1D
  • Time discrete: rotating transport
  • Time discrete: heat equation
  • Time discrete: transport in a cylinder
  • Time discrete: advection of a 3D level-set function

Examples

  • Python Scripts Index
  • Basic configuration

Scimba Packages

  • scimba_torch.approximation_space
    • scimba_torch.approximation_space.abstract_space
    • scimba_torch.approximation_space.kernelx_space
    • scimba_torch.approximation_space.nn_space
    • scimba_torch.approximation_space.radial_space
    • scimba_torch.approximation_space.spectral_space
  • scimba_torch.domain
    • scimba_torch.domain.mesh_based_domain
      • scimba_torch.domain.mesh_based_domain.cuboid
    • scimba_torch.domain.meshless_domain
      • scimba_torch.domain.meshless_domain.base
      • scimba_torch.domain.meshless_domain.domain_1d
      • scimba_torch.domain.meshless_domain.domain_2d
      • scimba_torch.domain.meshless_domain.domain_3d
      • scimba_torch.domain.meshless_domain.domain_nd
    • scimba_torch.domain.sdf
  • scimba_torch.flows
    • scimba_torch.flows.create_solution
    • scimba_torch.flows.deep_flows
    • scimba_torch.flows.discretization_based_flows
    • scimba_torch.flows.flow_trainer
    • scimba_torch.flows.integrators_ode
  • scimba_torch.integration
    • scimba_torch.integration.mesh_based_quadrature
    • scimba_torch.integration.monte_carlo
    • scimba_torch.integration.monte_carlo_parameters
    • scimba_torch.integration.monte_carlo_time
  • scimba_torch.neural_nets
    • scimba_torch.neural_nets.coordinates_based_nets
      • scimba_torch.neural_nets.coordinates_based_nets.activation
      • scimba_torch.neural_nets.coordinates_based_nets.discontinuous_mlp
      • scimba_torch.neural_nets.coordinates_based_nets.features
      • scimba_torch.neural_nets.coordinates_based_nets.mlp
      • scimba_torch.neural_nets.coordinates_based_nets.pirate_net
      • scimba_torch.neural_nets.coordinates_based_nets.res_net
      • scimba_torch.neural_nets.coordinates_based_nets.scimba_module
      • scimba_torch.neural_nets.coordinates_based_nets.siren
    • scimba_torch.neural_nets.embeddings
      • scimba_torch.neural_nets.embeddings.periodic_embedding
    • scimba_torch.neural_nets.structure_preserving_nets
      • scimba_torch.neural_nets.structure_preserving_nets.gradpotential
      • scimba_torch.neural_nets.structure_preserving_nets.invertible_nn
      • scimba_torch.neural_nets.structure_preserving_nets.sympnet
  • scimba_torch.numerical_solvers
    • scimba_torch.numerical_solvers.abstract_preconditioner
    • scimba_torch.numerical_solvers.abstract_projector
    • scimba_torch.numerical_solvers.collocation_projector
    • scimba_torch.numerical_solvers.elliptic_pde
      • scimba_torch.numerical_solvers.elliptic_pde.deep_ritz
      • scimba_torch.numerical_solvers.elliptic_pde.pinns
    • scimba_torch.numerical_solvers.functional_operator
    • scimba_torch.numerical_solvers.preconditioner_deep_ritz
    • scimba_torch.numerical_solvers.preconditioner_pinns
    • scimba_torch.numerical_solvers.preconditioner_projector
    • scimba_torch.numerical_solvers.preconditioner_solvers
    • scimba_torch.numerical_solvers.temporal_pde
      • scimba_torch.numerical_solvers.temporal_pde.discrete_pinn
      • scimba_torch.numerical_solvers.temporal_pde.neural_galerkin
      • scimba_torch.numerical_solvers.temporal_pde.neural_semilagrangian
      • scimba_torch.numerical_solvers.temporal_pde.pinns
      • scimba_torch.numerical_solvers.temporal_pde.time_discrete
  • scimba_torch.optimizers
    • scimba_torch.optimizers.line_search
    • scimba_torch.optimizers.losses
    • scimba_torch.optimizers.optimizers_data
    • scimba_torch.optimizers.scimba_optimizers
  • scimba_torch.physical_models
    • scimba_torch.physical_models.elliptic_pde
      • scimba_torch.physical_models.elliptic_pde.abstract_elliptic_pde
      • scimba_torch.physical_models.elliptic_pde.advection_diffusion
      • scimba_torch.physical_models.elliptic_pde.laplacians
      • scimba_torch.physical_models.elliptic_pde.linear_order_2
    • scimba_torch.physical_models.kinetic_pde
      • scimba_torch.physical_models.kinetic_pde.abstract_kinetic_pde
      • scimba_torch.physical_models.kinetic_pde.radiative_transfer
      • scimba_torch.physical_models.kinetic_pde.vlasov
    • scimba_torch.physical_models.temporal_pde
      • scimba_torch.physical_models.temporal_pde.abstract_temporal_pde
      • scimba_torch.physical_models.temporal_pde.advection_diffusion_equation
      • scimba_torch.physical_models.temporal_pde.heat_equation
      • scimba_torch.physical_models.temporal_pde.transport_equation
  • scimba_torch.plots
    • scimba_torch.plots.plot_time_discrete_scheme
    • scimba_torch.plots.plots_nd
  • scimba_torch.utils
    • scimba_torch.utils.mapping
    • scimba_torch.utils.paths
    • scimba_torch.utils.scimba_tensors
    • scimba_torch.utils.typing_protocols
    • scimba_torch.utils.verbosity

Development

  • Setup for development
  • Coding conventions
  • Documenting
  • Testing
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scimba_torch.domainΒΆ

Defines mesh-based and meshless domains.

Modules

mesh_based_domain

Mesh-based domains.

meshless_domain

Meshless domains.

sdf

Defines the signed distance function.
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scimba_torch.domain.mesh_based_domain
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