Complex‐step derivative‐based extended Kalman filter for state estimation in twin rotor MIMO system
A complex‐step extended Kalman filter (CS‐EKF) is designed, which combines the complex‐step derivative approach and the conventional EKF, to estimate the states of the TRMS. The Jacobian matrices in the CS‐EKF are computed using the complex‐step derivative approximation, which is a numerical calculation method.
İbrahim Mucuk, Ayhan Özdemir
wiley +1 more source
GreeM : Massively Parallel TreePM Code for Large Cosmological N-body Simulations
In this paper, we describe the implementation and performance of GreeM, a massively parallel TreePM code for large-scale cosmological N-body simulations. GreeM uses a recursive multi-section algorithm for domain decomposition. The size of the domains are
Fukushige, Toshiyuki +2 more
core +2 more sources
Accuracy and speed in computing the Chebyshev collocation derivative [PDF]
We studied several algorithms for computing the Chebyshev spectral derivative and compare their roundoff error. For a large number of collocation points, the elements of the Chebyshev differentiation matrix, if constructed in the usual way, are not ...
Don, Wai-Sun, Solomonoff, Alex
core +1 more source
On Sound Relative Error Bounds for Floating-Point Arithmetic
State-of-the-art static analysis tools for verifying finite-precision code compute worst-case absolute error bounds on numerical errors. These are, however, often not a good estimate of accuracy as they do not take into account the magnitude of the ...
baranowski +9 more
core +1 more source
Stable and Reliable Computation of Eigenvectors of Large Profile Matrices [PDF]
Independent eigenvector computation for a given set of eigenvalues of typical engineering eigenvalue problems still is a big challenge for established subspace solution methods.
Ruess, Martin
core
Numerically stable form factor of any polygon and polyhedron. [PDF]
Wuttke J.
europepmc +1 more source
Non-linear System of Multi-order Fractional Differential Equations: Theoretical Analysis and a Robust Fractional Galerkin Implementation. [PDF]
Faghih A, Mokhtary P.
europepmc +1 more source
PROBABILISTIC ERROR ANALYSIS FOR INNER PRODUCTS. [PDF]
Ipsen ICF, Zhou H.
europepmc +1 more source
GNSS Precise Relative Positioning Using A Priori Relative Position in a GNSS Harsh Environment. [PDF]
Kim E.
europepmc +1 more source
The Z-Shift: A Need for Quality Management System Level Testing and Standardization in Neuroimaging Pipelines. [PDF]
Dadario NB +6 more
europepmc +1 more source

