Local solution of parabolic equations with strongly increasing nonlinearity by the Rothe method
Local superconvergence analysis of the approximate boundary-flux calculation
Locality of reference in sparse Cholesky factorization methods.
Localized polynomial bases on the sphere.
Locally pointwise superconvergence of the tensor-product finite element in three dimensions
Consider a second-order elliptic boundary value problem in three dimensions with locally smooth coefficients and solution. Discuss local superconvergence estimates for the tensor-product finite element approximation on a regular family of rectangular meshes. It will be shown that, by the estimates for the discrete Green’s function and discrete derivative Green’s function, and the relationship of norms in the finite element space such as -norms, -norms, and negative-norms in locally smooth subsets...
Locally supported orthogonal wavelet bases on the sphere via stereographic projection.
Locking effects in the finite element approximation of elasticity problems.
Locking free matching of different three dimensional models in structural mechanics
The present paper proposes and analyzes a general locking free mixed strategy for computing the deformation of incompressible three dimensional structures placed inside flexible membranes. The model involves as in Chapelle and Ferent [Math. Models Methods Appl. Sci.13 (2003) 573–595] a bending dominated shell envelope and a quasi incompressible elastic body. The present work extends an earlier work of Arnold and Brezzi [Math Comp.66 (1997) 1–14] treating the shell part and proposes a global...
Locking-Free Finite Elements for Unilateral Crack Problems in Elasticity
We consider mixed and hybrid variational formulations to the linearized elasticity system in domains with cracks. Inequality type conditions are prescribed at the crack faces which results in unilateral contact problems. The variational formulations are extended to the whole domain including the cracks which yields, for each problem, a smooth domain formulation. Mixed finite element methods such as PEERS or BDM methods are designed to avoid locking for nearly incompressible materials in plane elasticity....
Loewner matrix ordering in estimation of the smallest singular value.
Logarithm of the discrete Fourier transform.
Log-periodogram regression in asymmetric long memory
The long memory property of a time series has long been studied and several estimates of the memory or persistence parameter at zero frequency, where the spectral density function is symmetric, are now available. Perhaps the most popular is the log periodogram regression introduced by Geweke and Porter–Hudak [gewe]. In this paper we analyse the asymptotic properties of this estimate in the seasonal or cyclical long memory case allowing for asymmetric spectral poles or zeros. Consistency and asymptotic...
Long-Range Numerical Solution of Mildly Non-Linear Parabolic Equations.
Long-Time Simulation of a Size-Structured Population Model with a Dynamical Resource
In this paper, we study the numerical approximation of a size-structured population model whose dependency on the environment is managed by the evolution of a vital resource. We show that this is a difficult task: some numerical methods are not suitable for a long-time integration. We analyze the reasons for the failure.
Look-ahead Levinson- and Schur-type recurrences in the Padé table.
L’origine des méthodes multipas pour l’intégration numérique des équations différentielles ordinaires
L’histoire des méthodes multipas pour l’intégration numérique des équations différentielles ordinaires a été peu étudiée. Ces méthodes peuvent être rattachées à la formule de quadrature de Gregory-Newton, qui a été appliquée pour la première fois à un système différentiel par Clairaut, en 1759, à l’occasion du retour de la comète de Halley. Les méthodes multipas proprement dites sont ensuite inventées à plusieurs reprises et de façon indépendante par J.C.Adams (1855), G.H.Darwin (1897), W.F.Sheppard...
Loss protection in pairs trading through minimum profit bounds: A cointegration approach.
Lösung der Dirichletproblems und Konvergenz der Differenzenapproximation für elliptische Differentialgleichungen zweiter Ordnung.
Lösung des Dirichlet Problems bei Jordangebieten mit analytischem Rand durch Interpolation.
Lösung linearer gewöhnlicher Randwertaufgaben 4. Ordnung mit Hilfe von Aufspaltungen. - Solving Linear Ordinary Boundary Value Problems of the Fourth Order by Means of Splittings.