Class: PDE

Partial differential equation problem definition.

URI: tvbo:class/PDE

 classDiagram
    class PDE
    click PDE href "./PDE.html"
      PDE : boundary_conditions
        
          
    
        
        
        PDE --> "*" BoundaryCondition : boundary_conditions
        click BoundaryCondition href "./BoundaryCondition.html"
    

        
      PDE : derived_parameters
        
          
    
        
        
        PDE --> "*" DerivedParameter : derived_parameters
        click DerivedParameter href "./DerivedParameter.html"
    

        
      PDE : derived_variables
        
          
    
        
        
        PDE --> "*" DerivedVariable : derived_variables
        click DerivedVariable href "./DerivedVariable.html"
    

        
      PDE : description
        
          
    
        
        
        PDE --> "0..1" String : description
        click String href "../http://www.w3.org/2001/XMLSchema#string.html"
    

        
      PDE : domain
        
          
    
        
        
        PDE --> "0..1" SpatialDomain : domain
        click SpatialDomain href "./SpatialDomain.html"
    

        
      PDE : field
        
          
    
        
        
        PDE --> "0..1" SpatialField : field
        click SpatialField href "./SpatialField.html"
    

        
      PDE : functions
        
          
    
        
        
        PDE --> "*" Function : functions
        click Function href "./Function.html"
    

        
      PDE : label
        
          
    
        
        
        PDE --> "0..1" String : label
        click String href "../http://www.w3.org/2001/XMLSchema#string.html"
    

        
      PDE : mesh
        
          
    
        
        
        PDE --> "0..1" Mesh : mesh
        click Mesh href "./Mesh.html"
    

        
      PDE : operators
        
          
    
        
        
        PDE --> "*" DifferentialOperator : operators
        click DifferentialOperator href "./DifferentialOperator.html"
    

        
      PDE : parameters
        
          
    
        
        
        PDE --> "*" Parameter : parameters
        click Parameter href "./Parameter.html"
    

        
      PDE : solver
        
          
    
        
        
        PDE --> "0..1" PDESolver : solver
        click PDESolver href "./PDESolver.html"
    

        
      PDE : sources
        
          
    
        
        
        PDE --> "*" Equation : sources
        click Equation href "./Equation.html"
    

        
      PDE : state_variables
        
          
    
        
        
        PDE --> "*" FieldStateVariable : state_variables
        click FieldStateVariable href "./FieldStateVariable.html"

Slots

Name Cardinality and Range Description Inheritance
label 0..1
xsd:string		 direct
description 0..1
xsd:string		 direct
parameters *
Parameter		 direct
domain 0..1
SpatialDomain		 direct
mesh 0..1
Mesh		 Shared mesh for all field state variables in this PDE direct
state_variables *
FieldStateVariable		 direct
field 0..1
SpatialField		 Primary field being solved for (deprecated; use state_variables) direct
operators *
DifferentialOperator		 direct
sources *
Equation		 direct
boundary_conditions *
BoundaryCondition		 direct
solver 0..1
PDESolver		 direct
derived_parameters *
DerivedParameter		 direct
derived_variables *
DerivedVariable		 direct
functions *
Function		 direct

Usages

used by used in type used
SimulationExperiment field_dynamics range PDE

Identifier and Mapping Information

Schema Source

  • from schema: https://w3id.org/tvbo

Mappings

Mapping Type Mapped Value
self tvbo:PDE
native tvbo:PDE

LinkML Source

Direct

name: PDE
description: Partial differential equation problem definition.
from_schema: https://w3id.org/tvbo
slots:
- label
- description
- parameters
attributes:
  domain:
    name: domain
    from_schema: https://w3id.org/tvbo
    domain_of:
    - ClinicalScale
    - ClinicalScore
    - StateVariable
    - Parameter
    - PDE
    range: SpatialDomain
  mesh:
    name: mesh
    description: Shared mesh for all field state variables in this PDE.
    from_schema: https://w3id.org/tvbo
    domain_of:
    - SpatialField
    - FieldStateVariable
    - PDE
    range: Mesh
  state_variables:
    name: state_variables
    from_schema: https://w3id.org/tvbo
    domain_of:
    - Dynamics
    - PDE
    range: FieldStateVariable
    multivalued: true
  field:
    name: field
    description: Primary field being solved for (deprecated; use state_variables).
    from_schema: https://w3id.org/tvbo
    rank: 1000
    domain_of:
    - PDE
    range: SpatialField
  operators:
    name: operators
    from_schema: https://w3id.org/tvbo
    rank: 1000
    domain_of:
    - PDE
    range: DifferentialOperator
    multivalued: true
  sources:
    name: sources
    from_schema: https://w3id.org/tvbo
    rank: 1000
    domain_of:
    - PDE
    range: Equation
    multivalued: true
  boundary_conditions:
    name: boundary_conditions
    from_schema: https://w3id.org/tvbo
    domain_of:
    - FieldStateVariable
    - PDE
    range: BoundaryCondition
    multivalued: true
  solver:
    name: solver
    from_schema: https://w3id.org/tvbo
    rank: 1000
    domain_of:
    - PDE
    range: PDESolver
  derived_parameters:
    name: derived_parameters
    from_schema: https://w3id.org/tvbo
    domain_of:
    - Dynamics
    - PDE
    range: DerivedParameter
    multivalued: true
  derived_variables:
    name: derived_variables
    from_schema: https://w3id.org/tvbo
    domain_of:
    - Dynamics
    - PDE
    range: DerivedVariable
    multivalued: true
  functions:
    name: functions
    from_schema: https://w3id.org/tvbo
    domain_of:
    - Dynamics
    - Algorithm
    - SimulationExperiment
    - PDE
    range: Function
    multivalued: true

Induced

name: PDE
description: Partial differential equation problem definition.
from_schema: https://w3id.org/tvbo
attributes:
  domain:
    name: domain
    from_schema: https://w3id.org/tvbo
    alias: domain
    owner: PDE
    domain_of:
    - ClinicalScale
    - ClinicalScore
    - StateVariable
    - Parameter
    - PDE
    range: SpatialDomain
  mesh:
    name: mesh
    description: Shared mesh for all field state variables in this PDE.
    from_schema: https://w3id.org/tvbo
    alias: mesh
    owner: PDE
    domain_of:
    - SpatialField
    - FieldStateVariable
    - PDE
    range: Mesh
  state_variables:
    name: state_variables
    from_schema: https://w3id.org/tvbo
    alias: state_variables
    owner: PDE
    domain_of:
    - Dynamics
    - PDE
    range: FieldStateVariable
    multivalued: true
  field:
    name: field
    description: Primary field being solved for (deprecated; use state_variables).
    from_schema: https://w3id.org/tvbo
    rank: 1000
    alias: field
    owner: PDE
    domain_of:
    - PDE
    range: SpatialField
  operators:
    name: operators
    from_schema: https://w3id.org/tvbo
    rank: 1000
    alias: operators
    owner: PDE
    domain_of:
    - PDE
    range: DifferentialOperator
    multivalued: true
  sources:
    name: sources
    from_schema: https://w3id.org/tvbo
    rank: 1000
    alias: sources
    owner: PDE
    domain_of:
    - PDE
    range: Equation
    multivalued: true
  boundary_conditions:
    name: boundary_conditions
    from_schema: https://w3id.org/tvbo
    alias: boundary_conditions
    owner: PDE
    domain_of:
    - FieldStateVariable
    - PDE
    range: BoundaryCondition
    multivalued: true
  solver:
    name: solver
    from_schema: https://w3id.org/tvbo
    rank: 1000
    alias: solver
    owner: PDE
    domain_of:
    - PDE
    range: PDESolver
  derived_parameters:
    name: derived_parameters
    from_schema: https://w3id.org/tvbo
    alias: derived_parameters
    owner: PDE
    domain_of:
    - Dynamics
    - PDE
    range: DerivedParameter
    multivalued: true
  derived_variables:
    name: derived_variables
    from_schema: https://w3id.org/tvbo
    alias: derived_variables
    owner: PDE
    domain_of:
    - Dynamics
    - PDE
    range: DerivedVariable
    multivalued: true
  functions:
    name: functions
    from_schema: https://w3id.org/tvbo
    alias: functions
    owner: PDE
    domain_of:
    - Dynamics
    - Algorithm
    - SimulationExperiment
    - PDE
    range: Function
    multivalued: true
  label:
    name: label
    from_schema: https://w3id.org/tvbo
    rank: 1000
    alias: label
    owner: PDE
    domain_of:
    - ParcellationTerminology
    - Dataset
    - Contact
    - Equation
    - Stimulus
    - Parcellation
    - Tractogram
    - Matrix
    - Network
    - Node
    - Edge
    - Observation
    - Dynamics
    - StateVariable
    - Parameter
    - Function
    - DerivedVariable
    - RandomStream
    - DataSource
    - OptimizationStage
    - Exploration
    - TuningObjective
    - Coupling
    - RegionMapping
    - SimulationExperiment
    - SimulationStudy
    - TimeSeries
    - SoftwareEnvironment
    - NDArray
    - SpatialDomain
    - Mesh
    - SpatialField
    - FieldStateVariable
    - DifferentialOperator
    - BoundaryCondition
    - PDESolver
    - PDE
    range: string
  description:
    name: description
    from_schema: https://w3id.org/tvbo
    rank: 1000
    alias: description
    owner: PDE
    domain_of:
    - ClinicalScore
    - Equation
    - Stimulus
    - Tractogram
    - Matrix
    - Network
    - File
    - Node
    - Edge
    - Observation
    - Dynamics
    - StateVariable
    - Parameter
    - CouplingInput
    - Argument
    - Function
    - Callable
    - DerivedParameter
    - DerivedVariable
    - RandomStream
    - DataSource
    - OptimizationStage
    - Exploration
    - UpdateRule
    - TuningObjective
    - Algorithm
    - Integrator
    - Coupling
    - RegionMapping
    - SimulationExperiment
    - SimulationStudy
    - TimeSeries
    - SoftwareEnvironment
    - SoftwareRequirement
    - SoftwarePackage
    - NDArray
    - SpatialDomain
    - Mesh
    - SpatialField
    - FieldStateVariable
    - BoundaryCondition
    - PDESolver
    - PDE
    range: string
  parameters:
    name: parameters
    from_schema: https://w3id.org/tvbo
    rank: 1000
    alias: parameters
    owner: PDE
    domain_of:
    - Equation
    - Stimulus
    - TemporalApplicableEquation
    - Node
    - Edge
    - Observation
    - Dynamics
    - Distribution
    - Noise
    - Exploration
    - Integrator
    - Coupling
    - PDE
    range: Parameter
    multivalued: true
    inlined: true