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Explicit and Stable Pseudospectral Time-Domain Method for the Föppl-von Kármán Equations
Victor Zheleznov, Stefan Bilbao
Modal synthesis is a widely-used technique for simulation of musical instrument dynamics. In the linear case, a modal decomposition leads to an uncoupled system of damped and force…
Stable Differentiable Modal Synthesis for Learning Nonlinear Dynamics
Victor Zheleznov, Stefan Bilbao, Alec Wright +1
Modal methods are a long-standing approach to physical modelling synthesis. Extensions to nonlinear problems are possible, leading to coupled nonlinear systems of ordinary differen…
Learning Nonlinear Dynamics in Physical Modelling Synthesis using Neural Ordinary Differential Equations
Victor Zheleznov, Stefan Bilbao, Alec Wright +1
Modal synthesis methods are a long-standing approach for modelling distributed musical systems. In some cases extensions are possible in order to handle geometric nonlinearities. O…