Results 21 to 30 of about 219,965 (278)

Approximation of Parametric Derivatives by the Empirical Interpolation Method [PDF]

open access: yes, 2011
We introduce a general a priori convergence result for the approximation of parametric derivatives of parametrized functions. We consider the best approximations to parametric derivatives in a sequence of approximation spaces generated by a general ...
A. Quarteroni   +18 more
core   +1 more source

Some Notes on Error Analysis for Kernel Based Regularized Interpolation

open access: yesInternational Journal of Analysis and Applications, 2020
Kernel based regularized interpolation is one of the most important methods for approximating functions. The theory behind the kernel based regularized interpolation is the well-known Representer Theorem, which shows the form of approximation function in
Qing Zou
doaj  

Faber-Schauder Wavelet Sparse Grid Approach for Option Pricing with Transactions Cost

open access: yesAbstract and Applied Analysis, 2014
Transforming the nonlinear Black-Scholes equation into the diffusion PDE by introducing the log transform of S and (T−t)→τ can provide the most stable platform within which option prices can be evaluated.
Shu-Li Mei
doaj   +1 more source

Fast Linear Canonical Transform for Nonequispaced Data

open access: yesFractal and Fractional, 2023
The investigations of the discrete and fast linear canonical transform (LCT) are becoming one of the hottest research topics in modern signal processing and optics.
Yannan Sun, Wenchao Qian
doaj   +1 more source

On the constrained mock-Chebyshev least-squares

open access: yes, 2014
The algebraic polynomial interpolation on uniformly distributed nodes is affected by the Runge phenomenon, also when the function to be interpolated is analytic.
De Marchi, Stefano   +2 more
core   +1 more source

A Finite Difference Scheme for Compressible Miscible Displacement Flow in Porous Media on Grids with Local Refinement in Time

open access: yesAbstract and Applied Analysis, 2013
Considering two-dimensional compressible miscible displacement flow in porous media, finite difference schemes on grids with local refinement in time are constructed and studied.
Wei Liu
doaj   +1 more source

Scattered Data Interpolation on Embedded Submanifolds with Restricted Positive Definite Kernels: Sobolev Error Estimates [PDF]

open access: yes, 2011
In this paper we investigate the approximation properties of kernel interpolants on manifolds. The kernels we consider will be obtained by the restriction of positive definite kernels on $\R^d$, such as radial basis functions (RBFs), to a smooth, compact
Fuselier, Edward, Wright, Grady
core   +3 more sources

Kinematics of Multigrid Monte Carlo

open access: yes, 1992
We study the kinematics of multigrid Monte Carlo algorithms by means of acceptance rates for nonlocal Metropolis update proposals. An approximation formula for acceptance rates is derived. We present a comparison of different coarse-to-fine interpolation
A. S. Kronfeld   +26 more
core   +1 more source

Integrated cosine functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1996
In order to the second order Cauchy problem (CP2):x″(t)=Ax(t), x(0)=x∈D(An), x″(0)=y∈D(Am) on a Banach space, Arendt and Kellermann recently introduced the integrated cosine function.
Quan Zheng
doaj   +1 more source

APPROXIMATELY SINGULAR WAVELET

open access: yesСистемный анализ и прикладная информатика, 2018
The problem of approximation is relevant for most engineering applications. In this connection, the universal methods of approximation are of interest. The method of nonparametric approximation is developing in the paper – the method of singular wavelets.
V. M. Romanchak
doaj   +1 more source

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