DSpace Collection: Volume 25 Number 2
http://hdl.handle.net/10525/428
Serdica Mathematical Journal Volume 25, Number 2, 1999The Collection's search engineSearch the Channelsearch
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Some Computational Aspects of the Consistent Mass Finite Element Method for a (semi-)periodic Eigenvalue Problem
http://hdl.handle.net/10525/444
Title: Some Computational Aspects of the Consistent Mass Finite Element Method for a (semi-)periodic Eigenvalue Problem<br/><br/>Authors: De Schepper, H.<br/><br/>Abstract: We consider a model eigenvalue problem (EVP) in 1D, withperiodic or semi–periodic boundary conditions (BCs). The discretization ofthis type of EVP by consistent mass finite element methods (FEMs) leads tothe generalized matrix EVP Kc = λ M c, where K and M are real, symmetricmatrices, with a certain (skew–)circulant structure. In this paper we fix ourattention to the use of a quadratic FE–mesh. Explicit expressions for theeigenvalues of the resulting algebraic EVP are established. This leads to anexplicit form for the approximation error in terms of the mesh parameter,which confirms the theoretical error estimates, obtained in [2].Fri, 01 Jan 1999 00:00:00 GMTOn the Maximum of a Branching Process Conditioned on the Total Progeny
http://hdl.handle.net/10525/443
Title: On the Maximum of a Branching Process Conditioned on the Total Progeny<br/><br/>Authors: Kerbashev, Tzvetozar<br/><br/>Abstract: The maximum M of a critical Bienaymé-Galton-Watson processconditioned on the total progeny N is studied. Imbedding of the process ina random walk is used. A limit theorem for the distribution of M as N → ∞is proved. The result is trasferred to the non-critical processes. A corollaryfor the maximal strata of a random rooted labeled tree is obtained.Fri, 01 Jan 1999 00:00:00 GMTAn Example Concerning Valdivia Compact Spaces
http://hdl.handle.net/10525/442
Title: An Example Concerning Valdivia Compact Spaces<br/><br/>Authors: Kalenda, Ondrej<br/><br/>Abstract: We prove that the dual unit ball of the space C0 [0, ω1 ) endowedwith the weak* topology is not a Valdivia compact. This answers a questionposed to the author by V. Zizler and has several consequences. Namely, ityields an example of an affine continuous image of a convex Valdivia compact(in the weak* topology of a dual Banach space) which is not Valdivia,and shows that the property of the dual unit ball being Valdivia is not anisomorphic property. Another consequence is that the space C0 [0, ω1 ) has nocountably 1-norming Markusevic basis.<br/><br/>Description: ∗ Supported by Research grants GAUK 190/96 and GAUK 1/1998Fri, 01 Jan 1999 00:00:00 GMTOn The Brill-noether Theory of Spanned Vector Bundles on Smooth Curves
http://hdl.handle.net/10525/441
Title: On The Brill-noether Theory of Spanned Vector Bundles on Smooth Curves<br/><br/>Authors: Ballico, E.<br/><br/>Abstract: Here we study the integers (d, g, r) such that on a smoothprojective curve of genus g there exists a rank r stable vector bundle withdegree d and spanned by its global sections.Fri, 01 Jan 1999 00:00:00 GMTParacompact Spaces and Radon Spaces
http://hdl.handle.net/10525/440
Title: Paracompact Spaces and Radon Spaces<br/><br/>Authors: Rodriguez-Salinas, Baltasar<br/><br/>Abstract: We prove that if E is a subset of a Banach space whose densityis of measure zero and such that (E, weak) is a paracompact space, then(E, weak) is a Radon space of type (F ) under very general conditions.Fri, 01 Jan 1999 00:00:00 GMTThe Perturbed Generalized Tikhonov's Algorithm
http://hdl.handle.net/10525/439
Title: The Perturbed Generalized Tikhonov's Algorithm<br/><br/>Authors: Alexandre, P.<br/><br/>Abstract: We work on the research of a zero of a maximal monotoneoperator on a real Hilbert space. Following the recent progress made inthe context of the proximal point algorithm devoted to this problem, weintroduce simultaneously a variable metric and a kind of relaxation in theperturbed Tikhonov’s algorithm studied by P. Tossings. So, we are led towork in the context of the variational convergence theory.Fri, 01 Jan 1999 00:00:00 GMT