The development of V. V. Strygin’s ideas in numerical mathematics in the works of Samara mathematicians

Abstract

The article reviews the most important results in the field of numerical mathematics obtained by Professor V. V. Strygin’s disciples and the disciples of his disciples in 2000–2019 in the city of Samara. We present the results on spline interpolation of functions with a boundary layer, methods and algorithms for a posteriori adaptation of computational grids for singularly perturbed boundary value problems and the results on applied wavelet analysis based on spline wavelets.

Insights on the Similarity of Supramolecular Structures in Organic Crystals Using Quantitative Indexes

“…VDP was used in the ToposPro 30,33 software for the construction of the supramolecular cluster. The MCN found for each cluster in compounds 1–4 and 5–9 was 14 and 16, respectively.…”

Multifunctional Behavior of Sulfonate-Based Hydrolytically Stable Microporous Metal–Organic Frameworks

“…The three-dimensional structure of IPM-301 has a porous one-dimensional channel along the crystallographic a -axis with the naphthalene moieties aligned along the pore walls (Figure a). The uniqueness of the structure is further highlighted in the new topology of the structure, estimated using TOPOS (Table S4), having a binodal 3,5-c net and the overall structure comprising two interpenetrated nets (Figure S6). The net has a point symbol of (4·6 2 )­(4 3 ·6 6 ·8) and a long vertex symbol [4·4·4·6·6·6·6·6 2 ·6 2 ·8 3 ], [4·6 2 ·6 2 ].…”

Cu6S6 Clusters as a Building Block for the Stabilization of Coordination Polymers with NiAs, NaCl, and Related Structures: Synthesis, Structure, and Catalytic Studies

“…To understand the structure better, we carried out a topological analysis by using TOPOS . Thus, the Zn 3 trimer and [Cu 6 (6‐mna) 6 ] 6– cluster were considered as two distinct nodes.…”

“…A close examination of this bonding reveals a three‐dimensional NaCl‐like structure (Figure ). To understand the structure further, we carried out a TOPOS analysis . For the topological analysis, the Zn 4 tetramer and [Cu 6 (6‐mna) 6 ] 6– cluster units were considered as two distinct nodes.…”

“…The presence of 4,4′‐bipyridine and its connectivity with Zn 4 tetramers, however, adds an additional twist to the structure. A TOPOS analysis with the Zn 4 tetramer and [Cu 6 (6‐mna) 6 ] 6– cluster as two different nodes results in a uninodal α‐ Po topology. If the 4,4′‐bipyridine link between Zn centers is also considered, a new topology would result.…”