Results 111 to 120 of about 134,664 (159)
Some of the next articles are maybe not open access.
The cubature formulas computing modeling
Informatization and communication, 2021Presented paper is related with the problem of hybrid computing structures design and their methodology. The main purpose is the theoretical basis for the automated design supercomputing devices development and the different restrictions accounting.
N.S. Krivsha +2 more
openaire +1 more source
2013
In problems that deal with data, as frequently encountered in applied mathematics, it is often necessary to discretize integrals to obtain discrete processes of approximation. Cubature formulas, a synonym for numerical integration formulas, are essential tools for discretizing integrals.
Feng Dai, Yuan Xu
openaire +1 more source
In problems that deal with data, as frequently encountered in applied mathematics, it is often necessary to discretize integrals to obtain discrete processes of approximation. Cubature formulas, a synonym for numerical integration formulas, are essential tools for discretizing integrals.
Feng Dai, Yuan Xu
openaire +1 more source
High-degree cubature particle filter for nonlinear system with missing measurements
Transactions of the Institute of Measurement and ControlIn this paper, we present a novel high-degree cubature particle filter for nonlinear systems with missing measurements to limit particle degradation. For the proposed particle filter, we derive the explicit formulae for the importance function and its ...
Zhenrong Yang +3 more
semanticscholar +1 more source
Cubature Formulas of Finite Order
1997We speak about a cubature formula of infinite order whenever the error of the formula is O(h m ) for all integer m and all functions in the space under study. Here h is the mesh-size of the lattice of integration. The Mean Value Theorem for harmonic functions provides the simplest example of a formula of such kind. In § 6 and § 8 of the current section
S. L. Sobolev, V. L. Vaskevich
openaire +1 more source
2006
The problems of the theory of cubature formulas, when we study their error functionals in the corresponding functional spaces, can be treated as problems of functional analysis. In particular, applying certain Hilbert metrics and solving the appearing problems by the methods of variations calculus, we can obtain exact estimates of the norms of error ...
openaire +1 more source
The problems of the theory of cubature formulas, when we study their error functionals in the corresponding functional spaces, can be treated as problems of functional analysis. In particular, applying certain Hilbert metrics and solving the appearing problems by the methods of variations calculus, we can obtain exact estimates of the norms of error ...
openaire +1 more source
Cubature formulae for Besov classes
Izvestiya: Mathematics, 1997Summary: This paper is devoted to an investigation of optimal cubature formulae for Besov classes of functions with restrictions on the mixed difference. This study is a continuation of papers [Mat. Zametki 49, No. 1, 149-151 (1991; Zbl 0760.41017)] and Mat. Sb. 183, No. 7, 23-34 (1992; Zbl 0786.41025)].
openaire +2 more sources
High-degree cubature on Wiener space through unshuffle expansions
Proceedings of the Royal Society A Mathematical Physical and Engineering ScienceUtilizing classical results on the structure of Hopf algebras, we develop a novel approach for the construction of cubature formulae on Wiener space based on unshuffle expansions.
Emilio Ferrucci +3 more
semanticscholar +1 more source
Cubature formulae on scattered meshes
Russian Journal of Numerical Analysis and Mathematical Modelling, 1991Summary: This paper outlines the general approach to constructing cubature formulae \[ L(f)\simeq\sum^ N_{i = 1} a_ i f(P_ i) \] exact for the linear method of reconstruction of mesh functions \(f(P_ 1), \dots, f(P_ N)\), where \(P_ 1,\dots P_ N\) is a chaotic set of points in the domain \(\Omega \subset \mathbb{R}^ n\).
openaire +2 more sources
Simple Cubature Formulas with High Polynomial Exactness
Constructive Approximation, 1999The authors study cubature formulas for \(d\)-dimensional integrals with arbitrary weight function of tensor product form. They construct formulas that yield a high polynomial exactness. If the degree of accuracy is fixed then the number of knots depends on the dimension in an order-optimal way.
Novak, Erich, Ritter, Klaus
openaire +1 more source
Cubature Formulas with Regular Boundary Layer
2006In this chapter we show that cubature formulas with regular boundary layer are asymptoticallymath-optimal as the lattice mesh-size vanishes.
openaire +2 more sources