Quasi-Continuous Interpolation Scheme for Pathways between Distant Configurations

Using multiquadric quasi-interpolation for solving Kawahara equation

Finding pathways between distant local minima.

We report a new algorithm for constructing pathways between local minima that involve a large number of intervening transition states on the potential energy surface. A significant improvement in efficiency has been achieved by changing the strategy for choosing successive pairs of local minima that serve as endpoints for the next search. We employ Dijkstra's algorithm [E. W. Dijkstra, Numer. M...

Real Interpolation for Non - Distant Marcinkiewicz Spaces ∗

We describe the real interpolation spaces between given Marcinkiewicz spaces that have fundamental functions of the form t ( ln et )α with the same exponent q. The spaces thus obtained are used for the proof of optimal interpolation theorem from [7], concerning spaces L∞,α,E .

Quasi-configurations: building blocks for point-line configurations

We study generalized point – line configurations and their properties in the projective plane. These generalized configurations can serve as building blocks for (n4) configurations. In this way, we construct (374) and (434) configurations. The existence problem of finding such configurations for the remaining cases (224), (234), and (264) remains open.

using multiquadric quasi-interpolation for solving kawahara equation