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Scimba 1.2.0 documentation

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Scimba 1.2.0 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
Projection of a function on an approximation space.
Saving and loading PINNs
Strong boundary conditions
Imposing mixed boundary conditions
Using Time-Discrete Schemes
Scimba Optimizers
Losses in Scimba PINNs

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
Learning the Signed Distance Function of a shape

Examples

Python Scripts Index

API documentation

Basic configuration

scimba_torch.approximation_space
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scimba_torch.domain
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- scimba_torch.domain.mesh_based_domain
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  - scimba_torch.domain.mesh_based_domain.cuboid
- scimba_torch.domain.meshless_domain
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- scimba_torch.domain.sdf
scimba_torch.flows
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scimba_torch.integration
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scimba_torch.geometry
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scimba_torch.neural_nets
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- scimba_torch.neural_nets.coordinates_based_nets
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- scimba_torch.neural_nets.embeddings
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- scimba_torch.neural_nets.structure_preserving_nets
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scimba_torch.numerical_solvers
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- scimba_torch.numerical_solvers.abstract_preconditioner
- scimba_torch.numerical_solvers.abstract_projector
- scimba_torch.numerical_solvers.collocation_projector
- scimba_torch.numerical_solvers.elliptic_pde
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  - scimba_torch.numerical_solvers.elliptic_pde.deep_ritz
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- scimba_torch.numerical_solvers.functional_operator
- scimba_torch.numerical_solvers.pinn_preconditioners
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- scimba_torch.numerical_solvers.preconditioner_deep_ritz
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- scimba_torch.numerical_solvers.preconditioner_projector
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- scimba_torch.numerical_solvers.temporal_pde
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scimba_torch.optimizers
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scimba_torch.physical_models
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- scimba_torch.physical_models.elliptic_pde
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- scimba_torch.physical_models.kinetic_pde
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- scimba_torch.physical_models.temporal_pde
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scimba_torch.plots
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scimba_torch.utils
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Development

Setup for development
Coding conventions
Documenting
Testing
GitLab

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scimba_torch.neural_nets.structure_preserving_nets.nonlinear_ode_layers¶

Nonlinear ODE layers for invertible neural networks.

scimba_torch.neural_nets.structure_preserving_nets.ode_splitted_layer

scimba_torch.neural_nets.structure_preserving_nets.nilpotent_symplectic_layer

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