Browsing 1 - Oberwolfach Preprints (OWP) by MFO Scientific Program "OWRF 2022"
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Convergence and Error Analysis of Compressible Fluid Flows with Random Data: Monte Carlo Method
[OWP-2022-15] (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] (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] (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 N3β−1v(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] (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] (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] (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] (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] (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] (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 ...