Preprint 2026

• H.K. Dwivedi, M. Ehrhardt, and Rajeev

  Alikhanov–XfPINNs: Adaptive Physics-Informed Learning for Nonlinear Fractional PDEs on Nonuniform Meshes

  Preprint: imacm_26_06 download

   

• L. Di Persio, M. Ehrhardt, Y. Outaleb and S. Rizzotto

  Port-Hamiltonian Neural Networks: From Theory to Simulation of Interconnected Stochastic Systems

  Preprint: imacm_26_05 download

   

• M. Ehrhardt, S. Pereselkov, V. Kuz’kin, S. Tkachenko and A. Pereselkov

  Frequency Variations Of Two Modes Interference Patterns Due To Internal Soliton Wave In Shallow Water

  Preprint: imacm_26_04 download

   

• F. Kasolis, N. Haussmann, M. Clemens and M. Günther

  Structure-Preserving Coupled Field-Cable Simulations via the Port-Hamiltonian Framework

  Preprint: imacm_26_03 download

   

• M. Ehrhardt, V. Fanelli and L. Maddalena

  Nonstandard Finite Difference Schemes for Delayed Credit Risk Contagion Models

  Preprint: imacm_26_02 download

   

• L. Di Persio, M. Ehrhardt, and Y. Outaleb

  Stochastic Port-Hamiltonian Neural Networks: Universal Approximation with Passivity Guarantees

  Preprint: imacm_26_01 download