Applications of the calculus of variations

• Analytical mechanics
• Brachistochrone curve
• Catenary
• Finite element method
• Hamiltonian mechanics
• Hamiltonian optics
• Lagrangian mechanics
• Minimal surface
• Newton's minimal resistance problem
• Plateau's problem
• Tautochrone curve
• Variational Bayesian methods
• Variational method (quantum mechanics)
• Variational methods in general relativity
• calculus of variations