58354

finite difference schemes an​d simulation in musical acoustics

Stefan Bilbao

Wiley Chichester

2009

xiii, 441 p. : ill.

Includes bibliographical references an​d index , Sound synthesis an​d physical modeling -- Time series an​d difference operators -- The oscillator -- The oscillator in musical acoustics -- Grid functions an​d finite difference operators in 1D -- The 1D wave equation -- Linear bar an​d string vibration -- Nonlinear string vibration -- Acoustic tubes -- Grid functions an​d finite difference operators in 2D -- The 2D wave equation -- Linear plate vibration -- Nonlinear plate vibration -- Conclusion an​d perspectives

eb236d16