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math.NA2026
On Runge-Kutta convolution quadrature based fractional variational integrators
Khaled Hariz Belgacem, Sina Ober-BlÃbaum, Fernando JimÃnez
Lagrangian systems subject to fractional damping can be incorporated into a variational framework by doubling the state variables and introducing fractional derivatives. Fractional…
math.NA2025
On Runge-Kutta convolution quadrature based fractional variational integrators
Khaled Hariz, Sina Ober-Blöbaum, Fernando Jimenez
Lagrangian systems subject to fractional damping can be incorporated into a variational formalism. The construction can be made by doubling the state variables and introducing frac…
math.NA2024
Fractional variational integrators based on convolution quadrature
Khaled Hariz, Fernando Jiménez, Sina Ober-Blöbaum
Fractional dissipation is a powerful tool to study non-local physical phenomena such as damping models. The design of geometric, in particular, variational integrators for the nume…