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Quantitative equidistribution and the local statistics of the spectrum of a flat torus
We show that a pair correlation function for the spectrum of a flat 2-dimensional torus satisfying an explicit Diophantine condition agrees with...
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Discretization of Non-uniform Rational B-Spline (NURBS) Models for Meshless Isogeometric Analysis
We present an algorithm for fast generation of quasi-uniform and variable-spacing nodes on domains whose boundaries are represented as computer-aided...
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Exterior-Point Optimization for Sparse and Low-Rank Optimization
Many problems of substantial current interest in machine learning, statistics, and data science can be formulated as sparse and low-rank optimization...
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Efficient Computation of the Zeros of the Bargmann Transform Under Additive White Noise
We study the computation of the zero set of the Bargmann transform of a signal contaminated with complex white noise, or, equivalently, the...
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On the validity of the linear Boussinesq hypothesis for selected internal cooling features of gas turbine blades
In order to further decrease fuel consumption and pollutant emission of modern, highly efficient gas turbine blades, the internal cooling air...
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A review of radial basis function with applications explored
Partial differential equations are a vital component of the study of mathematical models in science and engineering. There are various tools and...
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Species of Spaces
Classical limits of quantum systems are shown to lead to different conceptions of spaces different from the classical one underlying the process of...
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Interface Discontinuities in Spectral-Element Simulations with Adaptive Mesh Refinement
We investigate the discontinuities arising at non-conforming (or non-conformal) interfaces in spectral element method (SEM) simulations. The derivate...
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Closing the Scale Gap for Resolved-Turbulence Simulations in Meteorology
Geophysical flow is generally characterized by huge Reynolds numbers—which limits our ability to directly represent these systems on a computer. Most...
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Tip** Cascades in a Multi-patch System with Noise and Spatial Coupling
Forecasting tip** points in spatially extended systems is a key area of interest to ecologists. A slowly declining spatially distributed population...
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Pseudo-Hermitian Anti-Hermitian Gaussian Matrices
It is shown that the ensemble of pseudo-Hermitian Gaussian matrices gives rise in a certain limit to an ensemble of anti-Hermitian matrices whose...
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Generalized Almost Complete Revivals in Quantum Spin Chains
AbstractThe conception of almost complete revivals has been introduced recently. In a quantum many-body system local observable may exhibit an almost...
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A New Adaptation Strategy for Multi-resolution Method
Adaptive mesh refinement (AMR) and wavelet-based multi-resolution technique, which refine the spatial resolution in regions of interest and coarsen...
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Options and Volatilities
This chapter summarizes the main building blocks that make up the business of volatility trading. It starts by covering remarkable contributions of...
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Dissipation Element Analysis of Inert and Reacting Turbulent Flows
Dissipation elements provide a procedure for compartmentalizing scalar fields into physically meaningful sub-units which provides a direct measure...
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Geophysical Sensors for Map** Soil Layers – A Comparative Case Study Using Different Electrical and Electromagnetic Sensors
In agriculture, site-specific field management is based on several components including information regarding soil heterogeneity. Mobile geophysical...
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Optimized Schwarz Methods for Stokes-Darcy Flows: the Brinkman Equations
The Brinkman equations model a combination of Darcy’s law and the Navier-Stokes equations, see [3].