Calculus of Variations

GPTKB entity

Statements (50)
Predicate Object
gptkbp:instanceOf gptkb:mathematics
gptkbp:appliesTo gptkb:classical_mechanics
control theory
quantum mechanics
relativity theory
geodesics
minimal surfaces
optimal control
calculus of variations in several variables
gptkbp:hasApplication gptkb:elasticity_theory
gptkb:general_relativity
gptkb:machine_learning
gptkb:quantum_field_theory
gptkb:signal_processing
gptkb:least_action_principle
fluid dynamics
image processing
resource allocation
optimal transport
engineering design
trajectory optimization
physics modeling
shape optimization
shortest path problems
structural optimization
economics optimization
minimal surface problem
soap film problem
gptkbp:hasMethod gptkb:Hamilton's_principle
gptkb:Lagrangian_mechanics
gptkb:Pontryagin's_maximum_principle
direct method
indirect method
https://www.w3.org/2000/01/rdf-schema#label Calculus of Variations
gptkbp:notable_for gptkb:Euler-Lagrange_equation
gptkbp:notablePerson gptkb:David_Hilbert
gptkb:Joseph-Louis_Lagrange
gptkb:Leonhard_Euler
gptkbp:numberOfIssues gptkb:brachistochrone_problem
isoperimetric problem
gptkbp:originatedIn 18th century
gptkbp:relatedTo functional analysis
mathematical analysis
partial differential equations
gptkbp:studies optimization of functionals
gptkbp:usedIn economics
engineering
physics
gptkbp:bfsParent gptkb:mathematical_optimization
gptkbp:bfsLayer 5