Results 161 to 170 of about 162,917 (276)

On Harmonic Polynomial Interpolation

open access: yes, 2006
We show here that the methods of Lh-potential theory, developed in [Z1, Z5, Z6], are applicable to the problem of interpolation by harmonic polynomials in Rn. The connection between the rate of convergence of interpo- lational polynomials for a given continuous function on a compact set K Rn and the range of its harmonic extension is investigated ...
openaire   +2 more sources

Bidirectional sleep‐seizure interactions and orexin in a mouse model of tuberous sclerosis complex‐related epilepsy

open access: yesEpilepsia, EarlyView.
Abstract Objective A strong bidirectional relationship exists between epilepsy and sleep, with seizures often occurring more frequently in sleep and, in turn, sleep being disrupted by seizures. However, the mechanistic basis of seizure–sleep interactions is poorly understood.
Nicholas R. Rensing   +4 more
wiley   +1 more source

General Framework for Multi‐Degree‐of‐Freedom Stiffness Matrix Updating for Iterative Solution Algorithms in Hybrid Simulation

open access: yesEarthquake Engineering &Structural Dynamics, EarlyView.
ABSTRACT Iterative solvers are advantageous for handling nonlinear structural analysis problems. The iterative solvers often require updating the stiffness matrix, which limits their application in static and pseudo‐dynamic hybrid simulations because: (1) updating the stiffness matrix of a system involving a physical specimen is challenging; (2 ...
Junyan Xiao, Oh‐Sung Kwon, Evan Bentz
wiley   +1 more source

Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver

open access: yesInternational Journal for Numerical Methods in Fluids, EarlyView.
A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley   +1 more source

Performance Assessment of the Immersed Boundary Method in the Framework of the Moment Representation Lattice Boltzmann Method

open access: yesInternational Journal for Numerical Methods in Fluids, EarlyView.
The immersed boundary method (IBM) was coupled with the moment representation lattice Boltzmann method (MR‐LBM), reducing bandwidth requirements compared to population‐based LBM formulations. A systematic assessment of IBM parameters was conducted to quantify their effect on computational performance.
Marco A. Ferrari   +2 more
wiley   +1 more source

Electricity Price Prediction Using Multikernel Gaussian Process Regression Combined With Kernel‐Based Support Vector Regression

open access: yesJournal of Forecasting, EarlyView.
ABSTRACT This paper presents a new hybrid model for predicting German electricity prices. The algorithm is based on a combination of Gaussian process regression (GPR) and support vector regression (SVR). Although GPR is a competent model for learning stochastic patterns within data and for interpolation, its performance for out‐of‐sample data is not ...
Abhinav Das   +2 more
wiley   +1 more source

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