Results 31 to 40 of about 1,227 (79)
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 +4 more
wiley +1 more source
The role of Frolov's cubature formula for functions with bounded mixed derivative
, 2016 We prove upper bounds on the order of convergence of Frolov's cubature formula for numerical integration in function spaces of dominating mixed smoothness on the unit cube with homogeneous boundary condition.
Ullrich, Mario, Ullrich, Tino
core +1 more source
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 +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 +5 more
wiley +1 more source
Analytical computation of moderate-degree fully-symmetric cubature rules on the triangle [PDF]
, 2011 A method is developed to compute analytically fully symmetric cubature rules on the triangle by using symmetric polynomials to express the two kinds of invariance inherent in these rules.
Papanicolopulos, Stefanos-Aldo
core +2 more sources
On Gauss-Lobatto integration on the triangle
, 2011 A recent result in [2] on the non-existence of Gauss-Lobatto cubature rules on the triangle is strengthened by establishing a lower bound for the number of nodes of such rules. A method of constructing Lobatto type cubature rules on the triangle is given
Xu, Yuan
core +1 more source
Cubature formulas, geometrical designs, reproducing kernels, and Markov operators
, 2005 Cubature formulas and geometrical designs are described in terms of reproducing kernels for Hilbert spaces of functions on the one hand, and Markov operators associated to orthogonal group representations on the other hand.
De La Harpe, Pierre, Pache, Claude
core +3 more sources
Some Results on the Complexity of Numerical Integration [PDF]
, 2015 This is a survey (21 pages, 124 references) written for the MCQMC 2014 conference in Leuven, April 2014. We start with the seminal paper of Bakhvalov (1959) and end with new results on the curse of dimension and on the complexity of oscillatory integrals.
Novak, Erich
core
A curved-element unstructured discontinuous Galerkin method on GPUs for the Euler equations
, 2012 In this work we consider Runge-Kutta discontinuous Galerkin methods (RKDG) for the solution of hyperbolic equations enabling high order discretization in space and time. We aim at an efficient implementation of DG for Euler equations on GPUs.
Schmidt, S., Schulz, V., Siebenborn, M.
core +1 more source
Discrete transforms and orthogonal polynomials of (anti)symmetric multivariate cosine functions
, 2014 The discrete cosine transforms of types V--VIII are generalized to the antisymmetric and symmetric multivariate discrete cosine transforms. Four families of discretely and continuously orthogonal Chebyshev-like polynomials corresponding to the ...
Hrivnák, Jiří, Motlochová, Lenka
core +1 more source