Results 81 to 90 of about 72,493 (237)
On the Stability Barrier of Hermite Type Discretizations of Advection Equations
ABSTRACT We establish a stability barrier for a class of high‐order Hermite‐type discretization of 1D advection equations underlying the hybrid‐variable (HV) and active flux (AF) methods. These methods approximate both cell averages and nodal solutions and evolve them in time simultaneously.
Xianyi Zeng
wiley +1 more source
Metamaterials and Cesàro convergence
In this paper, we show that the linear dielectrics and magnetic materials in matter obey a special kind of mathematical property known as Cesàro convergence.
Yuganand Nellambakam +1 more
doaj +1 more source
A Functional Approach to Testing Overall Effect of Interaction Between DNA Methylation and SNPs
ABSTRACT We introduce a test for the overall effect of interaction between DNA methylation and a set of single nucleotide polymorphisms on a quantitative phenotype. The developed inference procedure is based on a functional approach that extend existing regression models in functional data analysis.
Yvelin Gansou +3 more
wiley +1 more source
Riemann zeros from Floquet engineering a trapped-ion qubit
The non-trivial zeros of the Riemann zeta function are central objects in number theory. In particular, they enable one to reproduce the prime numbers. They have also attracted the attention of physicists working in random matrix theory and quantum chaos
Ran He +8 more
doaj +1 more source
Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity
ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak +3 more
wiley +1 more source
Joint universality of some zeta-functions. I
In the paper, the joint universality for the Riemann zeta-function and a collection of periodic Hurwitz zeta functions is discussed and basic results are given.
Santa Račkauskienė +1 more
doaj +1 more source
Bright and Dark Breathers on an Elliptic Wave in the Defocusing mKdV Equation
ABSTRACT Breathers on an elliptic wave background consist of nonlinear superpositions of a soliton and a periodic wave, both traveling with different wave speeds and interacting periodically in the space‐time. For the defocusing modified Korteweg–de Vries equation, the construction of general breathers has been an open problem since the elliptic wave ...
Dmitry E. Pelinovsky, Rudi Weikard
wiley +1 more source
Plank theorems and their applications: A survey
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley +1 more source
A survey of moment bounds for ζ(s)$\zeta (s)$: From Heath‐Brown's work to the present
Abstract In this expository article, we review some of the ideas behind the work of Heath–Brown (D. R. Heath‐Brown, J. London Math. Soc., (2), 24, (1981), no. 1, 65–78) on upper and lower bounds for moments of the Riemann zeta‐function, as well as the impact this work had on subsequent developments in the field.
Alexandra Florea
wiley +1 more source
Siegel–Veech constants for cyclic covers of generic translation surfaces
Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
wiley +1 more source

