Results 41 to 50 of about 14,804 (145)
Methods Based on Polynomial Chaos for Quadratic Delay Differential Equations With Random Parameters
ABSTRACT We consider systems of delay differential equations (DDEs), including a single delay and a quadratic right‐hand side. In a system, parameters are replaced by random variables to perform an uncertainty quantification. Thus the solution of the DDEs becomes a random process, which can be represented by a series of the generalised polynomial chaos.
Roland Pulch
wiley +1 more source
Bounds for twisted symmetric square $L$-functions
Let $f\in S_k(N,\psi)$ be a newform, and let $\chi$ be a primitive character of conductor $q^{\ell}$. Assume that $q$ is a prime and $\ell>1$. In this paper we describe a method to establish convexity breaking bounds of the form $$ L(\tfrac{1}{2},\Sym f ...
Munshi, Ritabrata
core +1 more source
ABSTRACT An efficient method for solving large eigenvalue problems efficiently can be developed using hyper‐reduced order models, such as those arising from the LU Proper Orthogonal Decomposition (LUPOD). The LUPOD employs dominant orthogonal modes along with a flexible number of collocation points to establish a reduced scalar product, thereby ...
A. Vidal‐Ferràndiz +4 more
wiley +1 more source
Computing Dirichlet character sums to a power-full modulus
The Postnikov character formula is used to express large portions of a Dirichlet character sum in terms of quadratic exponential sums. The quadratic sums are then computed using an analytic algorithm previously derived by the author.
Hiary, Ghaith A.
core +1 more source
A data‐driven workflow for constructing a geometry‐aware lumped arterial stenosis model: Statistical shape modeling extracts geometry‐specific shape modes from synthetically generated coronary lesion geometries. Large‐scale 3D CFD simulations over varying Reynolds numbers yield the geometries their viscous (Kv) and inertial (Kt) loss coefficients. Then,
P. L. J. Hilhorst +6 more
wiley +1 more source
Dimer models and conformal structures
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
Looking Back to 1991 Economic Forecasting: Introducing Cointegration
ABSTRACT Originally written in 1991 to advance the formal analysis of macroeconomic forecasting models and methods following the development of cointegration, alternative forecasting devices, conditional and unconditional forecasts, and data accuracy are considered.
David F. Hendry
wiley +1 more source
The Lattice Dynamics of Completely Entangled States and its Application to Communication Schemes
(Presented at conference on Fundamental Problems in Physics - UMBC - June 1994) It is shown that among the orthogonal sets of EPR (completely entangled) states there is a unique basis (up to equivalence) that is a also a perfectly resolved set of ...
Aspect +10 more
core +1 more source
Hypergeometric motives from Euler integral representations
Abstract We revisit certain one‐parameter families of affine covers arising naturally from Euler's integral representation of hypergeometric functions. We introduce a partial compactification of this family. We show that the zeta function of the fibers in the family can be written as an explicit product of L$L$‐series attached to nondegenerate ...
Tyler L. Kelly, John Voight
wiley +1 more source
Nonlinear Differential Equations Satisfied by Certain Classical Modular Forms
A unified treatment is given of low-weight modular forms on \Gamma_0(N), N=2,3,4, that have Eisenstein series representations. For each N, certain weight-1 forms are shown to satisfy a coupled system of nonlinear differential equations, which yields a ...
A. Enneper +40 more
core +1 more source

