Results 51 to 60 of about 67,589 (200)
Biological Reviews, EarlyView.ABSTRACT Recent methodological development in phylogenetic inference has focused predominantly on molecular data. However, renewed interest in other data types, particularly morphological data, has followed from the increased recognition of the power of total evidence and tip‐dating approaches, including fossil data, for inference of time‐scaled trees ...
Melanie J. Hopkins +9 more
wiley +1 more source
Software for Computing the Spheroidal Wave Functions Using Arbitrary Precision Arithmetic
CoRR, 2014 The spheroidal wave functions, which are the solutions to the Helmholtz equation in spheroidal coordinates, are notoriously difficult to compute. Because of this, practically no programming language comes equipped with the means to compute them. This makes problems that require their use hard to tackle.
Ross Adelman +2 more
openaire +2 more sources
Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
alphaCertified: certifying solutions to polynomial systems [PDF]
, 2011 Smale's alpha-theory uses estimates related to the convergence of Newton's method to give criteria implying that Newton iterations will converge quadratically to solutions to a square polynomial system.
Hauenstein, Jonathan D., Sottile, Frank
core +1 more source
Approximate rational arithmetics and arbitrary precision computations
, 2001 11 pages, no ...
Litvinov, Grigori +2 more
openaire +2 more sources
Cytometry Part A, EarlyView.ABSTRACT High‐dimensional cytometry, such as mass cytometry (CyTOF), measures protein expression in single cells. When paired with AI‐enhanced data analytics, it facilitates the discovery of immune biomarkers that can assist in diagnosing and treating immune‐related diseases. However, fluctuating instrument readouts, known as batch effects, can obscure
Martin Wasser +4 more
wiley +1 more source
Adaptive Precision Floating-Point Arithmetic and Fast Robust Geometric Predicates [PDF]
, 1996 Exact computer arithmetic has a variety of uses including, but not limited to, the robust implementation of geometric algorithms. This report has three purposes.
Jonathan Richard Shewchuk
core +3 more sources
Energy Science &Engineering, EarlyView.Mine‐water immersion tests reveal pronounced coal weakening (vs. minor concrete degradation), identifying coal pillars as the stability‐limiting component in composite dams. A coupled FEINN framework quantifies extreme‐pressure stability and ranks multi‐parameter designs via a normalized multi‐indicator scheme, enabling optimized dam configuration for ...
He Wen +6 more
wiley +1 more source
Fermions, Gauge Theories, and the Sinc Function Representation for Feynman Diagrams [PDF]
, 2000 We extend our new approach for numeric evaluation of Feynman diagrams to integrals that include fermionic and vector propagators. In this initial discussion we begin by deriving the Sinc function representation for the propagators of spin-1/2 and spin-1 ...
Dmitri Petrov +11 more
core +3 more sources
Journal of Forecasting, EarlyView.ABSTRACT This paper adopts a bivariate Markov‐switching multifractal (BMSM) model to reexamine comovement in SV between commodity, foreign exchange (FX), and stock markets. After the 2007–2008 global financial crisis understanding volatility linkages and the correlation structure between these markets becomes very important for risk analysts, portfolio
Ruipeng Liu +3 more
wiley +1 more source