Siberian Advances in Mathematics
Siberian Advances in Mathematics is a peer-reviewed journal that publishes articles on fundamental and applied mathematics. It covers a broad spectrum of subjects: algebra and logic, real and complex analysis, functional analysis, differential equations, mathematical physics, geometry and topology, probability and mathematical statistics, mathematical cybernetics, mathematical economics, mathematical problems of geophysics and tomography, numerical methods, and optimization theory. Previously focused on translation, the journal now has the aim to become an international publication and accepts manuscripts originally submitted in English from all countries, along with translated works.
PEER REVIEW AND EDITORIAL POLICY
The journal follows the Springer Nature Peer Review Policy, Process and Guidance, Springer Nature Journal Editors' Code of Conduct, and COPE's Ethical Guidelines for Peer-reviewers.
Approximately 20% of the manuscripts are rejected without review based on formal criteria as they do not comply with the submission guidelines. Each manuscript is assigned to at least one peer reviewer. The journal follows a single-blind reviewing procedure. The period from submission to the first decision is up to 110 days. The approximate rejection rate is 50%. The final decision on the acceptance of a manuscript for publication is made by the Meeting of the Editorial Board.
If Editors, including the Editor-in-Chief, publish in the journal, they do not participate in the decision-making process for manuscripts where they are listed as co-authors.
Special issues published in the journal follow the same procedures as all other issues. If not stated otherwise, special issues are prepared by the members of the editorial board without guest editors.
Current Issue
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Vol 29, No 4 (2019)
- Year: 2019
- Articles: 3
- URL: https://journals.rcsi.science/1055-1344/issue/view/12235
Article
Shape-Preservation Conditions for Cubic Spline Interpolation
Abstract
We consider the problem on shape-preserving interpolation by classical cubic splines. Namely, we consider conditions guaranteeing that, for a positive function (or a function whose kth derivative is positive), the cubic spline (respectively, its kth derivative) is positive. We present a survey of known results, completely describe the cases in which boundary conditions are formulated in terms of the first derivative, and obtain similar results for the second derivative. We discuss in detail mathematical methods for obtaining sufficient conditions for shape-preserving interpolation. We also develop such methods, which allows us to obtain general conditions for a spline and its derivative to be positive. We prove that, for a strictly positive function (or a function whose derivative is positive), it is possible to find an interpolant of the same sign as the initial function (respectively, its derivative) by thickening the mesh.
231-262
263-273
Lie Type Jordan Algebras
Abstract
We study the variety νJ of Jordan algebras defined by the identities x2yx ≡ 0 and (x1y1)(x2y2)(x3y3) = 0. We suggest a method for constructing an algebra in νJ from an arbitrary Lie superalgebra. For certain subvarieties, we completely describe their identities and sequences of cocharacters. As a corollary, we obtain the first example of a variety of Jordan algebras with fractional exponential growth.
274-307