-spline representation of interpolating and smoothing quadratic spline
Backward Differentiation Type Formulas for Volterra Integral Equations of the Second Kind.
Backward Error Analysis for Totally Positive Linear Systems.
Backward Euler type methods for parabolic integro-differential equations in Banach space
Backward perturbation analysis of certian characteristic subspaces.
Bacteriophage Infection Dynamics: Multiple Host Binding Sites
We construct a stochastic model of bacteriophage parasitism of a host bacteria that accounts for demographic stochasticity of host and parasite and allows for multiple bacteriophage adsorption to host. We analyze the associated deterministic model, identifying the basic reproductive number for phage proliferation, showing that host and phage persist when it exceeds unity, and establishing that the distribution of adsorbed phage on a host is binomial with slowly evolving mean. Not surprisingly,...
Baker domains for Newton’s method
For an entire function let be the Newton function associated to . Each zero of is an attractive fixed point of and is contained in an invariant component of the Fatou set of the meromorphic function in which the iterates of converge to . If has an asymptotic representation , in a sector , then there exists an invariant component of the Fatou set where the iterates of tend to infinity. Such a component is called an invariant Baker domain.A question in the opposite direction...
Ball intersection model for Fejér zones of convex closed sets
Strongly Fejér monotone mappings are widely used to solve convex problems by corresponding iterative methods. Here the maximal of such mappings with respect to set inclusion of the images are investigated. These mappings supply restriction zones for the successors of Fejér monotone iterative methods. The basic tool is the representation of the images by intersection of certain balls.
Banded matrices and discrete Sturm-Liouville eigenvalue problems.
Bartlett Corrections for the Weibull Distribution.
Barycentric Formulae for Cardinal (SINC-) Interpolants.
Barycentric Formulas for Interpolating Trigonometric Polynomials and their Conjugates.
Base tensorielle des matrices de Hankel (ou de Toeplitz) Applications.
Bases de type Schauder de C [0,1] et formules de quadrature associées.
Basic compactness properties of nonconforming and hybrid finite element spaces
Basic comparison theorems for weak and weaker matrix splittings.
Basic principles of mixed Virtual Element Methods
The aim of this paper is to give a simple, introductory presentation of the extension of the Virtual Element Method to the discretization of H(div)-conforming vector fields (or, more generally, of (n − 1) − Cochains). As we shall see, the methods presented here can be seen as extensions of the so-called BDM family to deal with more general element geometries (such as polygons with an almost arbitrary geometry). For the sake of simplicity, we limit ourselves to the 2-dimensional case, with the aim...
Basic regularity of the minima of variational integrals
Basic relations valid for the Bernstein spaces and their extensions to larger function spaces via a unified distance concept
Some basic theorems and formulae (equations and inequalities) of several areas of mathematics that hold in Bernstein spaces are no longer valid in larger spaces. However, when a function f is in some sense close to a Bernstein space, then the corresponding relation holds with a remainder or error term. This paper presents a new, unified approach to these errors in terms of the distance of f from . The difficult situation of derivative-free error estimates is also covered.
Bayes sharpening of imprecise information
A complete algorithm is presented for the sharpening of imprecise information, based on the methodology of kernel estimators and the Bayes decision rule, including conditioning factors. The use of the Bayes rule with a nonsymmetrical loss function enables the inclusion of different results of an under- and overestimation of a sharp value (real number), as well as minimizing potential losses. A conditional approach allows to obtain a more precise result thanks to using information entered as the...