• Decompositions of nonlinear input–output systems to zero the output 

      Gray, W. Steven; Ebrahimi-Fard, Kurusch; Schmeding, Alexander (Journal article; Peer reviewed, 2024)
      Consider an input–output system where the output is the tracking error given some desired reference signal. It is natural to consider under what conditions the problem has an exact solution, that is, the tracking error is ...
    • The Douglas formula in Lp 

      Bogdan, Krzysztof; Fafuła, Damian; Rutkowski, Artur Jakub (Peer reviewed; Journal article, 2023)
    • Infinitely Many Embedded Eigenvalues for the Neumann-Poincaré Operator in 3D 

      Li, Wei; Perfekt, Karl-Mikael; Shipman, Stephen (Peer reviewed; Journal article, 2022)
      This article constructs a surface whose Neumann--Poincaré (NP) integral operator has infinitely many eigenvalues embedded in its essential spectrum. The surface is a sphere perturbed by smoothly attaching a conical ...
    • Numerical bifurcation for the capillary Whitham equation 

      Remonato, Filippo; Kalisch, Henrik (Journal article, 2017)
      The so-called Whitham equation arises in the modeling of free surface water waves, and combines a generic nonlinear quadratic term with the exact linear dispersion relation for gravity waves on the free surface of a fluid ...
    • Variable step size commutator free Lie group integrators 

      Curry, Charles Henry Alexander; Owren, Brynjulf (Journal article; Peer reviewed, 2019)
      We introduce variable step size commutator free Lie group integrators, where the error control is achieved using embedded Runge–Kutta pairs. These are schemes for the integration of initial value problems posed on homogeneous ...