Results 41 to 50 of about 2,531 (180)
Non‐Linear Reduced Order Modelling of Transonic Potential Flows for Fast Aerodynamic Analysis
International Journal for Numerical Methods in Engineering, Volume 127, Issue 2, 30 January 2026.ABSTRACT This work presents a physics‐based reduced order modelling (ROM) framework for the efficient simulation of steady transonic potential flows around aerodynamic configurations. The approach leverages proper orthogonal decomposition and a least‐squares Petrov‐Galerkin (LSPG) projection to construct intrusive ROMs for the full potential equation ...
M. Zuñiga +3 more
wiley +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
Trivariate polynomial approximation on Lissajous curves [PDF]
, 2015 We study Lissajous curves in the 3-cube, that generate algebraic cubature formulas on a special family of rank-1 Chebyshev lattices. These formulas are used to construct trivariate hyperinterpolation polynomials via a single 1-d Fast Chebyshev Transform (
Bos, Len +2 more
core +2 more sources
Calculating the Greeks by cubature formulae
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2005 We provide cubature formulae for the calculation of derivatives of expected values in the spirit of Terry Lyons and Nicolas Victoir. In financial mathematics derivatives of option prices with respect to initial values, so called Greeks, are of particular importance as hedging parameters.
openaire +2 more sources
Electronics Letters, Volume 62, Issue 1, January/December 2026.The unstable radar measurement noise in natural environments degrades tracking performance. This Letter introduces a noise‐adaptive matrix to efficiently compute a corrected fading factor, enabling real‐time compensation for noise variations. Superior performance is verified through comparison with existing methods. ABSTRACT In the natural environment,
Tianhao Liu, Xi Chen, Naichang Yuan
wiley +1 more source
Discrete Fourier Analysis and Chebyshev Polynomials with $G_2$ Group [PDF]
, 2012 The discrete Fourier analysis on the $30^{\degree}$-$60^{\degree}$-$90^{\degree}$ triangle is deduced from the corresponding results on the regular hexagon by considering functions invariant under the group $G_2$, which leads to the definition of four ...
Li, Huiyuan, Sun, Jiachang, Xu, Yuan
core +3 more sources
IET Generation, Transmission &Distribution, Volume 20, Issue 1, January/December 2026.A GEDMM is proposed to represent the MIWPS as multiple VSISs and model each of them as the VTDS2M whose unknown parameters are identified with the proposed hybrid optimized square root cubature Kalman filter (HOSRCKF). To solve the issues that the physical meanings of existing short circuit ratios (SCRs) are unclear and the critical values of existing ...
Mengxian Sun +3 more
wiley +1 more source
Adaptive High Manoeuvring Target Tracking Algorithm Based on CNN‐LSTM Fusion Architecture
IET Radar, Sonar &Navigation, Volume 20, Issue 1, January/December 2026.To solve the problems of model switching lag and tracking accuracy decline in interacting multiple model (IMM) algorithm in complex manoeuvring target tracking, an adaptive interacting multiple model unscented Kalman filter (IMM‐UKF) algorithm based on convolutional neural network and long short‐term memory network (CNN‐LSTM) fusion architecture is ...
Yuhan Cui +3 more
wiley +1 more source
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 +2 more
doaj +2 more sources
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