Contents

• List of Tables
• List of Figures
• The Wave Equation and Other PDEs
  • 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
• References
• Index
• About this document ...