Results 21 to 30 of about 89 (65)

Orthogonal Laurent Polynomials of Two Real Variables

Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.
ABSTRACT In this paper, we consider an appropriate ordering of the Laurent monomials xiyj$x^{i}y^{j}$, i,j∈Z$i,j \in \mathbb {Z}$ that allows us to study sequences of orthogonal Laurent polynomials of the real variables x$x$ and y$y$ with respect to a positive Borel measure μ$\mu$ defined on R2$\mathbb {R}^2$ such that ({x=0}∪{y=0})∩supp(μ)=∅$(\lbrace ...
Ruymán Cruz‐Barroso, Lidia Fernández
wiley   +1 more source

Fast cubature of volume potentials over rectangular domains [PDF]

, 2013
In the present paper we study high-order cubature formulas for the computation of advection-diffusion potentials over boxes. By using the basis functions introduced in the theory of approximate approximations, the cubature of a potential is reduced to ...
Maz' ya, Vladimir, Maz'ya, Vladimir, Schmidt, Gunther, Lanzara, Flavia   +3 more
core   +1 more source

Fuzzy Consensus Cubature Information Filtering for Space Target Tracking

International Journal of Aerospace Engineering, Volume 2025, Issue 1, 2025.
A fuzzy distributed nonlinear state estimation issue on the possibilistic framework is investigated in this paper. Firstly, unlike the Gaussian probability distributions on the traditional probability framework, the noises are modeled as fuzzy random variables (FRVs) with trapezoidal possibility distributions (TPDs), and then a fuzzy cubature paradigm ...
Xiaobo Zhang, Bing He, Gang Liu, Haoshen Lin, Zifeng Gong, Giovanni Palmerini   +5 more
wiley   +1 more source

Differential quadrature and cubature methods for steady-state space-fractional advection-diffusion equations [PDF]

, 2014
Space-fractional advection-diffusion equation is a promising tool to describe the solute anomalous transport in underground water, and it has been extended to multi-dimensions with the help of weighted, fractional directional diffusion operator [Benson ...
Sze, KY, K.Y. Sze, Guofei Pang, Wen Chen, Chen, W, Pang, G   +5 more
core   +1 more source

Distributed angle‐only orbit determination algorithm for non‐cooperative spacecraft based on factor graph

IET Radar, Sonar &Navigation, Volume 18, Issue 9, Page 1494-1514, September 2024.
Two distributed algorithms based on factor graphs are proposed, utilising multiple CubeSats angle measurements for the orbit determination of the non‐cooperative spacecraft. The algorithms are applied to the sub‐parent and distributed cluster spacecraft architectures, respectively.
Zhixun Zhang, Keke Zhang, Leizheng Shu, Zhencai Zhu, Meijiang Zhou   +4 more
wiley   +1 more source

Numerical Integration of Some Arbitrary Functions over an Ellipsoid by Discretizing into Hexahedral Elements for Biomaterial Studies

International Journal of Chemical Engineering, Volume 2024, Issue 1, 2024.
This study mathematically examines chemical and biomaterial models by employing the finite element method. Unshaped biomaterials’ complex structures have been numerically analyzed using Gaussian quadrature rules. It has been analyzed for commercial benefits of chemical engineering and biomaterials as well as biorefinery fields.
T. M. Mamatha, B. Venkatesh, P. Senthil Kumar, S. Mullai Venthan, M. S. Nisha, Gayathri Rangasamy, Jitendra Kumar   +6 more
wiley   +1 more source

A Bayesian Structural Modal Updating Method Based on Sparse Grid and Ensemble Kalman Filter

Structural Control and Health Monitoring, Volume 2024, Issue 1, 2024.
This study presents a sparse grid interpolation and ensemble Kalman filter (EnKF)‐based Markov Chain Monte Carlo (MCMC) method (SG‐EnMCMC). Initiating with the formulation of a recursive equation for the state space vector, derived from the structural dynamic equation, this study adopts a dimensionality reduction strategy.
Guangwei Lin, Yi Zhang, Enjian Cai, Min Luo, Jing Guo, Zili Zhang   +5 more
wiley   +1 more source

Cubature formulas for function spaces with moderate smoothness [PDF]

, 2007
We construct simple algorithms for high-dimensional numerical integration of function classes with moderate smoothness. These classes consist of square-integrable functions over the d-dimensional unit cube whose coefficients with respect to certain ...
Lindloh, René, Srivastav, Anand, Gnewuch, Michael, Schneider, Reinhold   +3 more
core   +1 more source

Computation of volume potentials over bounded domains via approximate approximations [PDF]

, 2012
We obtain cubature formulas of volume potentials over bounded domains combining the basis functions introduced in the theory of approximate approximations with their integration over the tangential-halfspace.
Maz'ya, Vladimir, Schmidt, Gunther, V. G. Maz'ya, G. Schmidt, LANZARA, Flavia, V. Maz'Ya   +5 more
core   +1 more source

Fast cubature of volume potentials over rectangular domains by approximate approximations

, 2014
In the present paper we study high-order cubature formulas for the computation of advection-diffusion potentials over boxes. By using the basis functions introduced in the theory of approximate approximations, the cubature of a potential is reduced to ...
Maz'ya, Vladimir, Schmidt, Gunther, Lanzara, F,, G. Schmidt, Maz´ya, Vladimir,, Schmidt, G,, LANZARA, Flavia, V. Mazya   +7 more
core   +1 more source