Fourierova analýza dvojrozměrných terénních dat
Fouriertransformation auf dünnen Gittern mit hierarchischen Basen.
Fourth order eigenvalue approximation by extrapolation on domains with reentrant corners.
Fourth order time-stepping for low dispersion Korteweg-de Vries and nonlinear Schrödinger equations.
Fourth-order partial differential equations for effective image denoising.
Fractal Newton basins.
Fractal pharmacokinetics.
Fractal trigonometric approximation.
Fractal-classic interpolants
The methodology of fractal interpolation is very useful for processing experimental signals in order to extract their characteristics of complexity. We go further and prove that the Iterated Function System involved may also be used to obtain new approximants that are close to classical ones. In this work a classical function and a fractal function are combined to construct a new interpolant. The fractal function is first defined as a perturbation of a classical mapping. The additional condition...
Fractional Brownian motion and the Markov property.
Fractional double Newton step properties for polynomials with all real zeros
Fractional order convergence rate estimates of finite difference method on nonuniform meshes.
Fractional-order Bessel functions with various applications
We introduce fractional-order Bessel functions (FBFs) to obtain an approximate solution for various kinds of differential equations. Our main aim is to consider the new functions based on Bessel polynomials to the fractional calculus. To calculate derivatives and integrals, we use Caputo fractional derivatives and Riemann-Liouville fractional integral definitions. Then, operational matrices of fractional-order derivatives and integration for FBFs are derived. Also, we discuss an error estimate between...
Free boundary problems for Stoke's flows and finite element methods
Free Boundary Problems with Nonlinear Source Terms.
Free systems of vector fields (d'après L. Hörmander et A. Melin)
Free vibration of layered circular cylindrical shells of variable thickness using spline function approximation.
Free vibrations for the equation with sublinear
Free-energy-dissipative schemes for the Oldroyd-B model
In this article, we analyze the stability of various numerical schemes for differential models of viscoelastic fluids. More precisely, we consider the prototypical Oldroyd-B model, for which a free energy dissipation holds, and we show under which assumptions such a dissipation is also satisfied for the numerical scheme. Among the numerical schemes we analyze, we consider some discretizations based on the log-formulation of the Oldroyd-B system proposed by Fattal and Kupferman in [J. Non-Newtonian...
Frequency analysis of preconditioned waveform relaxation iterations
The error analysis of preconditioned waveform relaxation iterations for differential systems is presented. This analysis extends and refines previous results by Burrage, Jackiewicz, Nørsett and Renaut by incorporating all terms in the expansion of the error of waveform relaxation iterations in the Laplace transform domain. Lower bounds for the size of the window of rapid convergence are also obtained. The theory is illustrated for waveform relaxation methods applied to differential systems resulting...