MUS420 Supplement
Wave Digital Filters and Waveguide Networks for Numerical Integration of Time-Dependent PDEs

Julius O. Smith III (jos at ccrma)
Center for Computer Research in Music and Acoustics (CCRMA)
Department of Music, Stanford University

Stefan Bilbao
Center for Computer Research in Music and Acoustics (CCRMA)
Department of Music, Stanford University

Detailed Contents (and Navigation)

• Wave Digital Filtering Overview
  • Classical Kirchoff Network
  • Discretization
  
  
• Multidimensional Wave Digital Filters and Numerical Integration of Partial Differential Equations
  • Distributed Problems and Coordinate Changes
  • Multi-Dimensional Elements and Wave Digital Filters
  • MD-Inductor (Continued)
  • Multi-dimensional Kirchoff Circuits and Wave Digital Networks
  • In Sum
  
  
• The Waveguide Mesh and Numerical Integration
  • Digital Waveguide Networks
  • 2D Parallel Plate Revisited
  • FDTD and TLM: A Messy Mystery
  • More on TLM
  • WDFs vs. Transmission line Meshes
  
  
• Beams
  • Euler-Bernoulli Beams
  • Mesh for Euler-Bernoulli Beam
  • Timoshenko's Model (1921)
  
  
• Plates
  • Mindlin's Plate Equations (1950s)
  
  
• Elastic Solids
  • First-order system
  • Computational Grid for Elastic Solids
  • Solid Mesh
  • Comments
  
  
• About this document ...

Reference:

http://ccrma.stanford.edu/~bilbao/