The Wave Equation and Other PDEs

Wolfgang Chrisitan, Susan Fischer, Andrew Antonelli

• Introduction
• Classification of Partial Differential Equations
• Physics of Partial Differential Equations
  • Classical Wave Equation
  • Klein-Gordon and Schrödinger Equations
  • Nonlinear Klein-Gordon Equations
  • Diffusion Equation
• Numerical Methods
  • Finite Difference Approximation
  • Klein-Gordon Equation; Numerical Method
  • Classical Wave Equation; Numerical Method
  • Schrödinger Equation; Numerical Method
  • Diffusion Equation; Numerical Method
  • Boundary Conditions
    • Fixed Boundary
    • Periodic Boundary
    • Absorbing Boundary
• Running WAVE
  • A Quick Tour of Wave
  • Controlling Execution Speed
  • Inspector panels/Mouse-Accessible Objects
  • Menu Items
  • Hot Keys
• Exercises
  • Visualization and Analysis Tools
  • Eigenfunctions
  • Fourier Analysis
  • Green's Functions and Propagators
  • Superposition and Interference
  • Resonance
  • Steps and Barriers
  • Multilayer Films
  • Resonators
  • WKB Approximation
  • Nonlinear Klein-Gordon Equations
  • Numerical Effects
  • Program Modification
• Acknowledgements