MUS420 Lecture
Discrete-Time Lumped Models

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

Detailed Contents (and Navigation)

• Lumped vs. Distributed Systems
• Discretization
  • Classical Solutions
  • Computational Physical Models Suitable as Real-Time Synthesis Models
  • Signal Processing Approach
  
  
• Finite Differences: Some basics
  • Accuracy
  • Frequency Domain Interpretation
  • More General Differential Equations
  
  
• Distributed Example: 1-D wave equation, solution by FDA approach
  • Second-Order Finite Difference Scheme
  • Time-Space Grid of Second-Order FDS
  • A Peek at Stability of Finite Difference Schemes
  • Von Neumann Analysis
  • Problems with FDS
  
  
• About this document ...