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Block-based physical modeling with applications in musical acoustics

Rudolf RabensteinStefan Petrausch — 2008

International Journal of Applied Mathematics and Computer Science

Block-based physical modeling is a methodology for modeling physical systems with different subsystems. Each subsystem may be modeled according to a different paradigm. Connecting systems of diverse nature in the discrete-time domain requires a unified interconnection strategy. Such a strategy is provided by the well-known wave digital principle, which had been introduced initially for the design of digital filters. It serves as a starting point for the more general idea of blockbased physical modeling,...

Towards a framework for continuous and discrete multidimensional systems

Rudolf RabensteinLutz Trautmann — 2003

International Journal of Applied Mathematics and Computer Science

Continuous multidimensional systems described by partial differential equations can be represented by discrete systems in a number of ways. However, the relations between the various forms of continuous, semi-continuous, and discrete multidimensional systems do not fit into an established framework like in the case of one-dimensional systems. This paper contributes to the development of such a framework in the case of multidimensional systems. First, different forms of partial differential equations...

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