We propose two different improvements of reduced basis (RB) methods to enable the efficient and accurate evaluation of an output functional based on the numerical solution of parametrized partial differential equations with a possibly high-dimensional parameter space. The element that combines these two techniques is that they both utilize ANOVA expansions to achieve the improvements. The first...

This paper presents STrEAM (SuperTrace Evaluation Automated for Matching), a Mathematica package that calculates all functional supertraces which arise when matching generic UV model onto relativistic Effective Field Theory (EFT) at one loop and to arbitrary order in the heavy mass expansion. implements covariant derivative expansion automate most tedious step of streamlined prescription presen...

it is well known that a microperiodic function mapping a topological group into reals, which is continuous at some point is constant. we introduce the notion of a microperiodic multifunction, defined on a topological group with values in a metric space, and study regularity conditions implying an analogous result. we deal with vietoris and hausdorff continuity concepts.stability of microperiodi...

The functional connectivity architecture of the adult human brain enables complex cognitive processes, and exhibits a remarkably complex structure shared across individuals. We are only beginning to understand its heterogeneous structure, ranging from a strongly hierarchical organization in sensorimotor areas to widely distributed networks in areas such as the parieto-frontal cortex. Our study ...

We derive the spin-wave dynamics of a magnetic material from the time-dependent spin-density-functional theory in the linear response regime. The equation of motion for the magnetization includes, besides the static spin stiffness, a "Berry curvature" correction and a damping term. A gradient expansion scheme based on the homogeneous spin-polarized electron gas is proposed for the latter two qu...

Recent mapping of functional sequence elements in the human genome has led to the realization that transcription is pervasive and that noncoding RNAs compose a significant portion of the transcriptome. Some dominantly inherited neurological disorders are associated with the expansion of microsatellite repeats in noncoding regions that result in the synthesis of pathogenic RNAs. Here, we review ...

Parallel counters have been studied for several decades as a component in fast multipliers and multioperand adder circuits. Efficient design of these functional units can produce fast & efficient multipliers and signal processors. Proposed in this paper is a GF(2) generator polynomial expansion that can be used to specify parallel counters. The mathematical formalism provides a general way of d...

Experimentally it is well known that diamond and zinc-blend semiconductors show an "unusual" (i.e. , negative) thermal expansion at about 100 K. We performed density-functional-theory calculations of thermodynamic potentials (i.e. , total energies and entropies) for perfect crystals, to study the temperature dependence of the lattice parameter. The origin of the negative expansion eff'ect is tr...

won{gil park [won{gil park, j. math. anal. appl., 376 (1) (2011) 193{202] proved the hyers{ulam stability of the cauchy functional equation, the jensen functional equation and the quadraticfunctional equation in 2{banach spaces. one can easily see that all results of this paper are incorrect.hence the control functions in all theorems of this paper are not correct. in this paper, we correctthes...