Spectral Analysis of Finite Difference Meshes

Stefan Bilbao

Detailed Contents (and Navigation)

• Introduction
• Von Neumann Analysis of Difference Schemes
  • One-step Schemes
  • Multi-step Schemes
  • Vector Schemes
  • Numerical Phase Velocity
  
  
• Finite Difference Schemes for the (2+1)D Wave Equation
  • The Rectilinear Scheme
  • The Interpolated Rectilinear Scheme
    • Optimally direction-independent numerical dispersion
  • The Triangular Scheme
  • The Hexagonal Scheme
  • A Fourth-order Scheme
  
  
• Finite Difference Schemes for the (3+1)D Wave Equation
  • The Cubic Rectilinear Scheme
  • The Octahedral Scheme
  • The (3+1)D Interpolated Rectilinear Scheme
  • The Tetrahedral Scheme
  
  
• Index
• Bibliography
• About this document ...