Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
SIAM Journal on Control and Optimization
Multi-symplectic Runge-Kutta collocation methods for Hamiltonian wave equations
Journal of Computational Physics
Modeling and Control of the Timoshenko Beam. The Distributed Port Hamiltonian Approach
SIAM Journal on Control and Optimization
Dirac structures and Boundary Control Systems associated with Skew-Symmetric Differential Operators
SIAM Journal on Control and Optimization
Interconnection of port-Hamiltonian systems and composition of Dirac structures
Automatica (Journal of IFAC)
A port-Hamiltonian formulation of physical switching systems with varying constraints
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Hi-index | 31.45 |
A reduction method is presented for systems of conservation laws with boundary energy flow. It is stated as a generalized pseudo-spectral method which performs exact differentiation by using simultaneously several approximation spaces generated by polynomials bases and suitable choices of port-variables. The symplecticity of this spatial reduction method is proved when used for the reduction of both closed and open systems of conservation laws, for any choice of collocation points (i.e. for any polynomial bases). The symplecticity of some more usual collocation schemes is discussed and finally their accuracy on approximation of the spectrum, on the example of the ideal transmission line, is discussed in comparison with the suggested reduction scheme.