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Constrained trajectory synthesis via quasi-interpolation

IEEE Conference on Decision and Control, 2022
In this article we introduce QuITO — Quasi-Interpolation based Trajectory Optimization, a direct multiple shooting algorithm to solve a class of constrained nonlinear minimum energy optimal control problems.
Siddhartha Ganguly   +3 more
semanticscholar   +1 more source

Approximation of Multivariate Functions on Sparse Grids By Kernel-Based Quasi-Interpolation

SIAM Journal on Scientific Computing, 2021
In this study, we present a new class of quasi-interpolation schemes for the approximation of multivariate functions on sparse grids.
Byeongseon Jeong, S. Kersey, Jungho Yoon
semanticscholar   +1 more source

Commuting quasi-interpolation

2021
The quasi-interpolation operators introduced in Chapter 22 are \(L^1\)-stable, are projections and have optimal (local) approximation properties. However, they do not commute with the usual differential operators (gradient, curl, and divergence), which makes them difficult to use to approximate simultaneously a vector-valued function and its curl or ...
Alexandre Ern, Jean-Luc Guermond
openaire   +1 more source

Generator, multiquadric generator, quasi-interpolation and multiquadric quasi-interpolation

Applied Mathematics-A Journal of Chinese Universities, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Zongmin, Ma, Limin
openaire   +1 more source

A θ-finite difference scheme based on cubic B-spline quasi-interpolation for the time fractional Cattaneo equation with Caputo–Fabrizio operator

, 2021
In this paper, a θ-finite difference scheme based on cubic B-spline quasi-interpolation has been derived for the solution of time fractional Cattaneo equation.
M. Taghipour, H. Aminikhah
semanticscholar   +1 more source

Quasi Interpolation With Voronoi Splines

IEEE Transactions on Visualization and Computer Graphics, 2011
We present a quasi interpolation framework that attains the optimal approximation-order of Voronoi splines for reconstruction of volumetric data sampled on general lattices. The quasi interpolation framework of Voronoi splines provides an unbiased reconstruction method across various lattices.
Mahsa, Mirzargar, Alireza, Entezari
openaire   +2 more sources

Empirical Density Estimation based on Spline Quasi-Interpolation with applications to Copulas clustering modeling

Journal of Computational and Applied Mathematics
Density estimation is a fundamental technique employed in various fields to model and to understand the underlying distribution of data. The primary objective of density estimation is to estimate the probability density function of a random variable ...
C. Tamborrino   +2 more
semanticscholar   +1 more source

A cubic B-spline quasi-interpolation method for solving two-dimensional unsteady advection diffusion equations

International journal of numerical methods for heat & fluid flow, 2020
Purpose The purpose of this study is to extend the cubic B-spline quasi-interpolation (CBSQI) method via Kronecker product for solving 2D unsteady advection-diffusion equation. The CBSQI method has been used for solving 1D problems in literature so far.
R. Mittal, Sudhir Kumar, Ram Jiwari
semanticscholar   +1 more source

Tensioned Quasi-Interpolation Via Geometric Continuity

Advances in Computational Mathematics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
LAMBERTI, Paola, MANNI, Carla
openaire   +3 more sources

Quasi-interpolation for high-dimensional function approximation

Numerische Mathematik
The paper proposes a general quasi-interpolation scheme for high-dimensional function approximation. To facilitate error analysis, we view our quasi-interpolation as a two-step procedure.
Wenwu Gao   +3 more
semanticscholar   +1 more source

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