5 papers
A Spectral Quantum Algorithm for Numerical Differentiation and Integration
Jordan Cioni, Fabio Semperlotti
Numerical calculus algorithms which estimate derivatives and integrals from data series acquired either via measurements or by sampling functions are essential in scientific comput…
Nonabelian elastic metamaterials using holonomies acquired by crossing degeneracies
Mohit Kumar, Ralph M. Kaufmann, Fabio Semperlotti
Embedding nonabelian features into elastic metamaterials promises remarkable opportunities for wave control in many practical applications such as surface acoustic wave devices, mo…
Embedding 1D BDI topological dynamics into continuous elastic plates
Mohit Kumar, Fabio Semperlotti
This study presents an approach that leverages the existing knowledge acquired in one-dimensional BDI class discrete metamaterials, such as mass-spring systems or acoustic resonato…
On the one-dimensional SPH approximation of fractional-order operators
Khashayar Ghorbani, Fabio Semperlotti
This work presents a theoretical formalism and the corresponding numerical techniques to obtain the approximation of fractional-order operators over a 1D domain via the smoothed pa…
On the role of geometric phase in the dynamics of elastic waveguides
Mohit Kumar, Fabio Semperlotti
The geometric phase provides important mathematical insights to understand the fundamental nature and evolution of the dynamic response in a wide spectrum of systems ranging from q…