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Calculus of Variations

Calculus of Variations. Euler-Lagrange Equations Hamilton’s Principle Approximate Solutions Eigenvalue Problems. Introduction to V.E. Euler-Lagrange Equation. Special Cases. Application Example. Lagrange Multiplier. Natural Boundary Condition. Hamilton Principle. Hamiltonian.

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Calculus of Variations

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  1. Calculus of Variations • Euler-Lagrange Equations • Hamilton’s Principle • Approximate Solutions • Eigenvalue Problems

  2. Introduction to V.E.

  3. Euler-Lagrange Equation

  4. Special Cases

  5. Application Example

  6. Lagrange Multiplier

  7. Natural Boundary Condition

  8. Hamilton Principle

  9. Hamiltonian

  10. Example: Swinging Pendulum

  11. Variational Equation

  12. Approximate Methods

  13. Eigenvalue Problems

  14. Minimum Principle

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