Results 81 to 90 of about 434 (170)

On the numerical evaluation of certain 2-D singular integrals

Journal of Numerical Analysis and Approximation Theory, 2000
The problem of approximating certain two-dimensional Cauchy principal value integrals is here considered, product integration formulas with multiple nodes are presented and the behaviour of the remainder is analyzed.
Laura Gori, Laura Lo Cascio, Elisabetta Santi   +2 more
doaj   +2 more sources

Adaptive Covariance Feedback Cubature Kalman Filtering for Continuous-Discrete Bearings-Only Tracking System

IEEE Access, 2019
Bearings-only tracking is a continuous-discrete system, whose state of motion is in the continuous-time domain and the measurement is in the discrete-time domain. The unpredicted approximation errors are inevitable due to integration, discretization, and
Renke He, Shuxin Chen, Hao Wu, Han Xu, Kun Chen, Jing Liu   +5 more
doaj   +1 more source

Linear scaling computation of the Fock matrix. V. Hierarchical Cubature for numerical integration of the exchange-correlation matrix [PDF]

The Journal of Chemical Physics, 2000
Hierarchical cubature is a new method for achieving linear scaling computation of the exchange-correlation matrix central to Density Functional Theory. Hierarchical cubature combines a k-dimensional generalization of the binary search tree with adaptive numerical integration involving an entirely Cartesian grid.
openaire   +1 more source

Effective Computational Approach for Prediction and Estimation of Space Object Breakup Dispersion during Uncontrolled Reentry

International Journal of Aerospace Engineering, 2018
This paper provides an effective approach for the prediction and estimation of space debris due to a vehicle breakup during uncontrolled reentry. For an advanced analysis of the time evolution of space debris dispersion, new efficient computational ...
Deok-Jin Lee, Eun Jung Choi, Sungki Cho, Jung-Hyun Jo, Tae Soo No   +4 more
doaj   +1 more source

Negative order sobolev cubatures: preconditioners of partial differential equation learning tasks circumventing numerical stiffness

Machine Learning: Science and Technology
Abstract We present a variational approach aimed at enhancing the training of physics-informed neural networks (PINNs) and more general surrogate models for learning partial differential equations (PDE). In particular, we extend our formerly introduced notion of Sobolev cubatures to negative orders, enabling the approximation of negative
Juan Esteban Suarez Cardona, Phil-Alexander Hofmann, Michael Hecht   +2 more
openaire   +2 more sources

Numerical integration by using local-node gauss-hermite cubature

, 2009
A local–node numerical integration scheme for meshless methods is presented in this work. The distinguishing characteristic of the introduced scheme is that not support mesh or grid to perform numerical integration is needed, besides the fact that gauss cubature points for each node are generated in a properly fashion and that the extension of the ...
Millán, Raúl Daniel, Rosolen, Adrián Martín, Arroyo Balaguer, Marino   +2 more
openaire   +1 more source

Autonomous State Estimation and Observability Analysis for the Taiji Formation Using High-Precision Optical Sensors. [PDF]

Sensors (Basel), 2023
Wen B, Tang W, Peng X, Yang Z.
europepmc   +1 more source

Unsupervised learning of stationary and switching dynamical system models from Poisson observations. [PDF]

J Neural Eng, 2023
Song CY, Shanechi MM.
europepmc   +1 more source

A Novel Adaptive Robust Cubature Kalman Filter for Maneuvering Target Tracking with Model Uncertainty and Abnormal Measurement Noises. [PDF]

Sensors (Basel), 2023
Ye X, Wang J, Wu D, Zhang Y, Li B.
europepmc   +1 more source

Sequential Fusion Filter for State Estimation of Nonlinear Multi-Sensor Systems with Cross-Correlated Noise and Packet Dropout Compensation. [PDF]

Sensors (Basel), 2023
Tan L, Wang Y, Hu C, Zhang X, Li L, Su H.   +5 more
europepmc   +1 more source