Transformation approach to numerically integrating PDEs by means of WDF principles
Multidimensional Systems and Signal Processing
Journal of VLSI Signal Processing Systems - Parallel processing on VLSI arrays
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Block-Based Physical Modeling with Applications in Musical Acoustics
International Journal of Applied Mathematics and Computer Science - Selected Problems of Computer Science and Control
On systematic wave digital modeling of passive hyperbolic partial differential equations
International Journal of Circuit Theory and Applications
2D space---time wave-digital multi-fan filter banks for signals consisting of multiple plane waves
Multidimensional Systems and Signal Processing
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The numerical integration of partial differential equations (PDEs) resulting from passive physical problems can be performed by simulation of the actual system with multidimensional (MD) passive wave digital filters. Due to the principle of action at proximity, physical systems are usually massively parallel and only locally connected. Beyond these properties, the wave digital filters are well-known for their excellent numerical stability behavior and their high robustness. The new result of this paper is a synthesis procedure for automatic generation of the algorithms, based on MD wave digital filters for the numerical integration of PDEs describing linear hyperbolic passive systems. The proposed procedure permits a fully automated software development, based on the given partial differential equation.