نتایج جستجو برای: grünwald letincov algorithm

تعداد نتایج: 754263  

Journal: :Computers & Mathematics with Applications 2013
Shakoor Pooseh Ricardo Almeida Delfim F. M. Torres

Finite differences, as a subclass of direct methods in the calculus of variations, consist in discretizing the objective functional using appropriate approximations for derivatives that appear in the problem. This article generalizes the same idea for fractional variational problems. We consider a minimization problem with a Lagrangian that depends only on the left Riemann–Liouville fractional ...

2010
K N Khan

Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier series. The second is based on the Grünwald-Letnikov formula for defining a fractional derivative as a limit of a fractional difference quotie...

Journal: :Clinical infectious diseases : an official publication of the Infectious Diseases Society of America 2009
Martijn P Bauer Nathalie D van Burgel W A Erik Marijt Jaap T van Dissel Peter A von dem Borne

Figure 1. May-Grünwald-Giemsa staining (original magnification, ϫ1000) of the patient's bone marrow aspirate (left panel), showing unstained oblong shapes (white arrows) in the cytoplasma of several macrophages, and Ziehl-Neelsen staining of the same area (right panel), revealing the unstained objects to be acid-fast bacilli (black arrows). Diagnosis: hemophagocytic syndrome due to disseminated...

2013
Shakoor Pooseh Ricardo Almeida Delfim F. M. Torres

Finite differences, as a subclass of direct methods in the calculus of variations, consist in discretizing the objective functional using appropriate approximations for derivatives that appear in the problem. This article generalizes the same idea for fractional variational problems. We consider a minimization problem with a Lagrangian that depends on the left Riemann– Liouville fractional deri...

Journal: :Int. J. Math. Mathematical Sciences 2006
Manuel Duarte Ortigueira

Fractional centred differences and derivatives definitions are proposed generalising to real orders the existing ones valid for even and odd positive integer orders. For each one, suitable integral formulations are obtained. The computations of the involved integrals lead to new generalisations of the Cauchy integral derivative. To compute this integral, a special two straight line path was use...

Journal: :J. Comput. Physics 2015
Lu Zhang Hai-Wei Sun Hong-Kui Pang

After spatial discretization to the fractional diffusion equation by the shifted Grünwald formula, it leads to a system of ordinary differential equations, where the resulting coefficient matrix possesses the Toeplitz-like structure. An exponential quadrature rule is employed to solve such a system of ordinary differential equations. The convergence by the proposed method is theoretically studi...

2015
László Szili Péter Vértesi

The present survey collects some recent results on barycentric interpolation showing the similarity to the corresponding Lagrange (or polynomial) theorems. Namely we state that the order of the Lebesgue constant for barycentric interpolation is at least log n; we state a Grünwald–Marcinkiewicz type theorem for the barycentric case; moreover we define a Bernstein type process for the barycentric...

2007
M. D. Mahecha M. Reichstein H. Lange N. Carvalhais C. Bernhofer T. Grünwald D. Papale G. Seufert

Characterizing ecosystem-atmosphere interactions from short to interannual time scales M. D. Mahecha, M. Reichstein, H. Lange, N. Carvalhais, C. Bernhofer, T. Grünwald, D. Papale, and G. Seufert Max-Planck-Institute for Biogeochemistry, Jena, Germany Norwegian Forest and Landscape Institute, Ås, Norway Environmental System Analysis Group, New University of Lisbon, Portugal Deptartment of Meteor...

2016
Sheng-Feng Wang Ting-Zhu Huang Xian-Ming Gu Wei-Hua Luo

In this paper, an implicit finite difference scheme with the shifted Grünwald formula, which is unconditionally stable, is used to discretize the fractional diffusion equations with constant diffusion coefficients. The coefficient matrix possesses the Toeplitz structure and the fast Toeplitz matrix-vector product can be utilized to reduce the computational complexity from [Formula: see text] to...

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید