• Convergence and Error Analysis of Compressible Fluid Flows with Random Data: Monte Carlo Method 

      [OWP-2022-15] Feireisl, Eduard; Lukáčova-Medviďová, Mariá; She, Bangwei; Yuan, Yuhuan (Mathematisches Forschungsinstitut Oberwolfach, 2022-08-25)
      The goal of this paper is to study convergence and error estimates of the Monte Carlo method for the Navier-Stokes equations with random data. To discretize in space and time, the Monte Carlo method is combined with a ...
    • Convolution in Dual Cesàro Sequence Spaces 

      [OWP-2022-20] Curbera, Guillermo P.; Ricker, Werner J. (Mathematisches Forschungsinstitut Oberwolfach, 2022-12-16)
      We investigate convolution operators in the sequence spaces dp, for 1 p<. These spaces, for p > 1, arise as dual spaces of the Cesàro sequence spaces cesp thoroughly investigated by G. Bennett. A ...
    • Ground State of Bose Gases Interacting through Singular Potentials 

      [OWP-2023-18] Boßmann, Lea; Leopold, Nikolai; Petrat, Sören; Rademacher, Simone (Mathematisches Forschungsinstitut Oberwolfach, 2023-11-27)
      We consider a system of N bosons on the three-dimensional unit torus. The particles interact through repulsive pair interactions of the form N3β1v(Nβx) for β(0,1). We prove the next order correction to ...
    • Multi-Dimensional Summation-by-Parts Operators for General Function Spaces: Theory and Construction 

      [OWP-2023-13] Glaubitz, Jan; Klein, Simon-Christian; Nordström, Jan; Öffner, Philipp (Mathematisches Forschungsinstitut Oberwolfach, 2023-07-25)
      Summation-by-parts (SBP) operators allow us to systematically develop energy-stable and high-order accurate numerical methods for time-dependent differential equations. Until recently, the main idea behind existing SBP ...
    • On the Enumeration of Finite L-Algebras 

      [OWP-2022-11] Dietzel, Carsten; Menchón, Paula; Vendramin, Leandro (Mathematisches Forschungsinstitut Oberwolfach, 2022-06-29)
      We use Constraint Satisfaction Methods to construct and enumerate finite L-algebras up to isomorphism. These objects were recently introduced by Rump and appear in Garside theory, algebraic logic, and the study of the ...
    • Quasi-Equilibria and Click Times for a Variant of Muller's Ratchet 

      [OWP-2022-18] González Casanova, Adrian; Smadi, Charline; Wakolbinger, Anton (Mathematisches Forschungsinstitut Oberwolfach, 2022-11-30)
      Consider a population of N individuals, each of them carrying a type in N0. The population evolves according to a Moran dynamics with selection and mutation, where an individual of type k has the same selective ...
    • Rank Deviations for Overpartitions 

      [OWP-2023-11] Lovejoy, Jeremy; Osburn, Robert (Mathematisches Forschungsinstitut Oberwolfach, 2023-07-12)
      We prove general fomulas for the deviations of two overpartition ranks from the average, namely \begin{equation*} \overline{D}(a, M) := \sum_{n \geq 0} \Bigl( \overline{N}(a, M, n) - \frac{\overline{p}(n)}{M} \Bigr) q^n ...
    • Root Cycles in Coxeter Groups 

      [OWP-2022-16] Hart, Sarah; Kelsey, Veronica; Rowley, Peter (Mathematisches Forschungsinstitut Oberwolfach, 2022-09-15)
      For an element w of a Coxeter group W there are two important attributes, namely its length, and its expression as a product of disjoint cycles in its action on Φ, the root system of W. This paper investigates ...
    • Shock-avoiding Slicing Conditions: Tests and Calibrations 

      [OWP-2022-12] Baumgarte, Thomas W.; Hilditch, David (Mathematisches Forschungsinstitut Oberwolfach, 2022-07-19)
      While the 1+log slicing condition has been extremely successful in numerous numerical relativity simulations, it is also known to develop "gauge-shocks" in some examples. Alternative "shockavoiding" slicing conditions ...