Results 41 to 50 of about 4,554 (193)
Gaussian Filtering Using a Spherical-Radial Double Exponential Cubature
Gaussian filters use quadrature rules or cubature rules to recursively solve Gaussian-weighted integrals. Classical and contemporary methods use stable rules with a minimal number of cubature points to achieve the highest accuracy. Gaussian quadrature is
Quade Butler +2 more
doaj +1 more source
Polynomial (chaos) approximation of maximum eigenvalue functions: efficiency and limitations
This paper is concerned with polynomial approximations of the spectral abscissa function (the supremum of the real parts of the eigenvalues) of a parameterized eigenvalue problem, which are closely related to polynomial chaos approximations if the ...
Fenzi, Luca, Michiels, Wim
core +1 more source
Signal reconstruction from the magnitude of subspace components [PDF]
We consider signal reconstruction from the norms of subspace components generalizing standard phase retrieval problems. In the deterministic setting, a closed reconstruction formula is derived when the subspaces satisfy certain cubature conditions, that ...
Bachoc, Christine, Ehler, Martin
core +1 more source
Building a Digital Twin for Material Testing: Model Reduction and Data Assimilation
ABSTRACT The rapid advancement of industrial technologies, data collection, and handling methods has paved the way for the widespread adoption of digital twins (DTs) in engineering, enabling seamless integration between physical systems and their virtual counterparts.
Rubén Aylwin +5 more
wiley +1 more source
Cubature formulas of multivariate polynomials arising from symmetric orbit functions
The paper develops applications of symmetric orbit functions, known from irreducible representations of simple Lie groups, in numerical analysis. It is shown that these functions have remarkable properties which yield to cubature formulas, approximating ...
Hrivnák, Jiří +2 more
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Nonlinear Model Order Reduction on Polynomial Manifolds for Computational Homogenisation Problems
ABSTRACT Model order reduction (MOR) techniques utilising nonlinear approximation spaces can search for solutions to computational homogenisation problems on low‐dimensional approximation spaces. In combination with hyperreduction techniques, this allows for computations on representative volume elements (RVEs) to be accelerated by multiple orders of ...
Erik Faust, Lisa Scheunemann
wiley +1 more source
In this paper, an application of spherical radial cubature Bayesian filtering and smoothing algorithms is presented to solve a typical underwater bearings only passive target tracking problem effectively.
Wasiq Ali +5 more
doaj +1 more source
Short Abstract Industrialisation has reshaped European rural areas, leading to both depopulation and, in some cases, lifestyle‐driven repopulation. Our research highlights supply‐side barriers to Alpine repopulation by unpacking the impossibilities of vacant farmhouses revitalisation. Both land transfer traditions ingrained over generation (micro‐level
Bernhard Grüner, Elisabeth Gruber
wiley +1 more source
Orthogonal Simplex Chebyshev-Laguerre Cubature Kalman Filter Applied in Nonlinear Estimation Systems
To further improve the filtering accuracy in nonlinear estimation systems, a nonlinear filter, called the orthogonal simplex Chebyshev-Laguerre cubature Kalman filter (OSCL-CKF), is proposed.
Zhuowei Liu +3 more
doaj +1 more source
AN EFFICIENT TRAPEZOIDAL SCHEME FOR NUMERICAL CUBATURE WITH HERONIAN MEAN DERIVATIVE
This study focuses on the Heronian mean derivative-based numerical cubature scheme to better evaluate double integrals’ infinite limits. The proposed modifications rely on the Trapezoidal-type quadrature and cubature schemes. The aforementioned proposed scheme is important to numerically evaluate the complex double integrals, where the exact value is ...
openaire +2 more sources

