Numerical Methods¶
Last changes: Documentation changelog
This family documents algorithms that operate on an already defined spatial discretization: time integration, relaxation, demagnetization solves, eigensolvers, frequency-domain response, and state transfer.
Meshing is intentionally owned by the Backend branch at Meshing and spatial discretization, because geometry realization, topology, airbox construction, and quality governance form an independent subsystem.
- Time integration
- Numerical problem
- Required invariants and diagnostics
- Public method vocabulary
- Explicit Runge–Kutta formulation
- Adaptive acceptance and controller
- Stiffness and step selection
- Tangent-plane methods
- Public Python contract
- Realization matrix
- Implementation mapping
- Validation requirements
- Limitations
- Scientific bibliography
- Control Room crosswalk
- Source-code index
- Relaxation
- LLG integrator vocabulary (only for
llg_overdamped) - What one relaxation iteration means
- Shared physical contract
- Algorithm selection and exact internal policy
- Common stage API and IR boundary
- Four implementation lanes
- What differs between FDM/FEM and CPU/GPU
- Workflow
- Control Room crosswalk
- Bibliography
- Source-code index
- LLG integrator vocabulary (only for
- Demagnetization solver realizations
- Magnetostatic problem
- Realization matrix
- FDM cell-averaged convolution
- FEM Poisson airbox
- FEM/BEM Fredkin–Koehler realization
- Periodic demagnetization
- Public API and canonical intent
- Choosing a realization
- Validation requirements
- Implementation source index
- Limitations
- Scientific bibliography
- Control Room crosswalk
- Source-code index
- Linearized-LLG eigensolvers
- Purpose
- Equilibrium prerequisite
- Tangent-space representation
- Linearization of the LLG operator
- Damping policy
- Spectral targeting
- Bloch and Floquet sampling
- Mode normalization and phase
- Residual and orthogonality diagnostics
- Public Python workflow
- Realization matrix
- Implementation mapping
- Modal validation programme
- Failure semantics
- Limitations
- Scientific bibliography
- Control Room crosswalk
- Source-code index
- Frequency-domain response
- From linearized LLG to a harmonic system
- Response fields and susceptibility units
- Algebraic residual
- Coupled and reduced formulations
- Planner lanes represented in the source
- Planner selection order
- Sparse direct, Krylov, and reduced solves
- Frequency sweep semantics
- Floquet/Bloch response
- Public Python contract
- Realization matrix
- Implementation mapping
- Validation programme
- Limitations
- Scientific bibliography
- Control Room crosswalk
- Source-code index
- Interpolation and cross-backend state transfer
- Scope
- Common coordinate contract
- FEM to FDM
- FDM to FEM
- Unit-vector normalization
- What interpolation preserves
- Mask and domain mismatch
- Transfer error metrics
- Continuation workflow
- Public authoring model
- Realization matrix
- Implementation mapping
- Validation programme
- Limitations
- Scientific bibliography
- Control Room crosswalk
- Source-code index
Control Room crosswalk¶
This is a navigation page; use the terminal page named by the selected stage or solver. The category itself has no standalone editor. Numerical parameters without a matching control are not implemented in the frontend. Do not infer frontend support from Python or backend availability. See {doc}/frontend/capability-register for the current register and exact source owner.
Bibliography¶
No independent scientific model is introduced by this navigation page. Use the bibliography on the selected terminal page; this statement is an explicit applicability boundary, not an omitted reference.
Source-code index¶
This is a navigation page and introduces no standalone implementation symbol. The exact source-code index is maintained by the selected terminal page.