PDE

The package rbf.pde contains tools for solving partial differential equations (PDEs) using the RBF and RBF-FD method. This includes methods for generating RBF-FD weight matrices (rbf.pde.fd), generating nodes within the domain (rbf.pde.nodes), and some basic computational geometry functions for two and three-dimensions (rbf.pde.geometry). This package was primarily inspired by [1].

• fd (Radial Basis Function Finite Differences)
  • weight_matrix()
  • weights()
  • Examples
• nodes
  • disperse()
  • min_energy_nodes()
  • neighbor_argsort()
  • poisson_disc_nodes()
  • prepare_nodes()
  • Examples
• geometry
  • contains()
  • intersection_count()
  • intersection_point()
  • nearest_point()
  • oriented_simplices()
  • simplex_normals()
  • simplex_outward_normals()
  • volume()
• sampling
  • poisson_discs()
  • rejection_sampling()
  • Examples
• halton
  • GlobalHaltonSequence
  • HaltonSequence
  • halton_sequence()

References

[1] Fornberg, B. and N. Flyer. A Primer on Radial Basis Functions with Applications to the Geosciences. SIAM, 2015.