Sound Synthesis and Physical Modeling
CCRMA, Stanford
but this book is incomplete, esp. the summary Chap 14.
Physical Modeling
https://ccrma.stanford.edu/~bilbao/booktop/node12.html
References
https://ccrma.stanford.edu/~bilbao/booktop/node232.html
From:
Connections: Direct Simulation and Other Methods
Modal analysis and synthesis was in extensive use long before it appeared in musical sound synthesis applications, particularly in association with finite element analysis of vibrating structures--see [152] for an overview. In essence, a time-dependent problem, under some conditions, may be reduced to an eigenvalue, or statics problem, greatly simplifying analysis. It may also be viewed under the umbrella of more modern so-called spectral or pseudo-spectral methods [41]. Spectral methods essentially yield highly accurate numerical approximations through the use of various types of function approximations to the desired solution; many different varieties exist. If the solution is expressed in terms of trigonometric functions, the method is often referred to as a Galerkin Fourier method--this is exactly modal synthesis in the current context. Other types of spectral methods, perhaps more appropriate for sound synthesis purposes (and in particular collocation methods) will be discussed in Chapter 13. Modal synthesis methods will be discussed in more detail in §6.4.2 and §10.1.4.
ALSO,
Digital Sound Synthesis by Physical Modeling Using the Functional Transformation Method by Lutz Trautmann
It may or may not be related to:
https://www.researchgate.net/publication/2367936_Digital_Sound_Synthesis_by_Physical_Modelling
Lutz Trautmann, Rudolf Rabenstein