Results 21 to 30 of about 10,389 (330)

Quasi-interpolation by means of filter-banks [PDF]

, 2010
We consider the problem of approximating a regular function f(t) from its samples, f(nT), taken in a uniform grid. Quasi-interpolation schemes approximate f(t) with a dilated version of a linear combination of shifted versions of a kernel ??(t ...
Perez Villalon, Gerardo
core   +2 more sources

Multiscale Partition of Unity [PDF]

, 2013
We introduce a new Partition of Unity Method for the numerical homogenization of elliptic partial differential equations with arbitrarily rough coefficients. We do not restrict to a particular ansatz space or the existence of a finite element mesh.
C.A. Duarte, C.A. Duarte, D.-J. Kim, H. Owhadi, H.W. Alt, I. Babuška, J.M. Melenk, J.T. Oden, N. Moës, T. Belytschko, T.J. Liszka, V. Gupta   +11 more
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QuITO: Numerical software for constrained nonlinear optimal control problems

SoftwareX, 2023
We introduce the MATLAB-based software QuITO (Quasi-Interpolation based Trajectory Optimization) to numerically solve a wide class of constrained nonlinear optimal control problems (OCP). The solver is based on the QuITO (the same abbreviation) algorithm,
Siddhartha Ganguly, Nakul Randad, Rihan Aaron D’Silva, Mukesh Raj S., Debasish Chatterjee   +4 more
doaj   +1 more source

Quasi‐interpolation by splines on the uniform knot sets

Mathematical Modelling and Analysis, 2007
In the case of uniform grids, the error of the spline interpolant of a function defined on R has been well estimated. On the basis of the spline interpolation formula for functions defined on R we derive quasi‐interpolation formulae for functions defined
Evely Leetma
doaj   +1 more source

A Neural Network Approximation Based on a Parametric Sigmoidal Function

Mathematics, 2019
It is well known that feed-forward neural networks can be used for approximation to functions based on an appropriate activation function. In this paper, employing a new sigmoidal function with a parameter for an activation function, we consider a ...
Beong In Yun
doaj   +1 more source

Bivariate spline interpolation with optimal approximation order [PDF]

, 2001
Let be a triangulation of some polygonal domain f c R2 and let S9 (A) denote the space of all bivariate polynomial splines of smoothness r and degree q with respect to A.
A. Kh. Ibrahim, A. Zeníšek, C. Boor de, C. Boor de, C. Boor de, C. Coatmélec, C. K. Chui, C. K. Chui, C. K. Chui, D. Hong, F. Jeeawock-Zedek, F. Zeilfelder, G. Nürnberger, G. Nürnberger, G. Nürnberger, G. Nürnberger, G. Nürnberger, G. Nürnberger, G. Nürnberger, G. Strang, J. M. Carnicer, J. Morgan, L. L. Schumaker, M. J. Lai, O. Davydov, O. Davydov, O. Davydov, O. Davydov, O. Davydov, P. G. Ciarlet, Z. Sha, Z. Sha   +31 more
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Assessment of Interpolation Errors of CYGNSS Soil Moisture Estimations

IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2021
High spatiotemporal soil moisture (SM) is essential for many meteorological, hydrological, and agricultural applications and studies. Spaceborne Global Navigation Satellite System-Reflectometry (GNSS-R) provides a promising opportunity for high ...
Volkan Senyurek, Ali Cafer Gurbuz, Mehmet Kurum   +2 more
doaj   +1 more source

Variational Multiscale Stabilization and the Exponential Decay of Fine-scale Correctors [PDF]

, 2015
This paper addresses the variational multiscale stabilization of standard finite element methods for linear partial differential equations that exhibit multiscale features. The stabilization is of Petrov-Galerkin type with a standard finite element trial
A. Abdulle, A. Abdulle, A. Målqvist, A. Målqvist, A. Målqvist, C. Carstensen, C. Makridakis, D. Elfverson, D. Elfverson, D. Elfverson, D. Gallistl, D. Peterseim, D.B. Szyld, G. Rozza, H. Owhadi, H. Wu, I. Babuska, I. Babuška, J.A. Cottrell, J.A. Cottrell, J.M. Melenk, J.M. Melenk, J.M. Melenk, L. Demkowicz, L. Grasedyck, L.R. Scott, M.G. Larson, M.G. Larson, O. Cessenat, P. Cummings, P. Henning, P. Henning, P. Henning, P. Henning, R. Hiptmair, R. Tezaur, T. Betcke, T. Hughes, T.J.R. Hughes, T.J.R. Hughes, U. Hetmaniuk, X. Feng   +41 more
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Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence

Comptes Rendus. Mathématique, 2023
We estimate best-approximation errors using vector-valued finite elements for fields with low regularity in the scale of the fractional-order Sobolev spaces. By assuming that the target field enjoys an additional integrability property on its curl or its
Dong, Zhaonan, Ern, Alexandre, Guermond, Jean-Luc   +2 more
doaj   +1 more source

Numerical Solution of High-Dimensional Shockwave Equations by Bivariate Multi-Quadric Quasi-Interpolation

Mathematics, 2019
Radial basis function-based quasi-interpolation performs efficiently in high-dimensional approximation and its applications, which can attain the approximant and its derivatives directly without solving any large-scale linear system.
Shenggang Zhang, Chungang Zhu, Qinjiao Gao   +2 more
doaj   +1 more source