Heterocycloalkynes Fused to a Heterocyclic Core: Searching for an Island with Optimal Stability-Reactivity Balance

2021 ◽  
Author(s):  
Natalia A. Danilkina ◽  
Anastasia I. Govdi ◽  
Alexander F. Khlebnikov ◽  
Alexander O. Tikhomirov ◽  
Vladimir V. Sharoyko ◽  
...  
Keyword(s):  
Optimal Stability

scholarly journals On the optimal stability of the Bernstein basis

1996 ◽  
Vol 65 (216) ◽  
pp. 1553-1567 ◽  
Author(s):  
R. T. Farouki ◽  
T. N. T. Goodman
Keyword(s):  
Bernstein Basis ◽  
Optimal Stability

The steep Nekhoroshev’s Theorem and optimal stability exponents (an announcement)

2014 ◽  
Vol 25 (3) ◽  
pp. 293-299 ◽  
Author(s):  
Massimiliano Guzzo ◽  
Luigi Chierchia ◽  
Giancarlo Benettin
Keyword(s):  
Optimal Stability

scholarly journals Diagonally Implicit Block Backward Differentiation Formula with Optimal Stability Properties for Stiff Ordinary Differential Equations

Symmetry ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 1342 ◽  
Author(s):  
Hazizah Mohd Ijam ◽  
Zarina Bibi Ibrahim
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Triangular Matrix ◽  
Differentiation Formula ◽  
Stability Properties ◽  
Stiff Ordinary Differential Equations ◽  
Backward Differentiation Formula ◽  
Optimal Stability ◽  
Best Value ◽  
Selection Of

This paper aims to select the best value of the parameter ρ from a general set of linear multistep formulae which have the potential for efficient implementation. The ρ -Diagonally Implicit Block Backward Differentiation Formula ( ρ -DIBBDF) was proposed to approximate the solution for stiff Ordinary Differential Equations (ODEs) to achieve the research objective. The selection of ρ for optimal stability properties in terms of zero stability, absolute stability, error constant and convergence are discussed. In the diagonally implicit formula that uses a lower triangular matrix with identical diagonal entries, allowing a maximum of one lower-upper (LU) decomposition per integration stage to be performed will result in substantial computing benefits to the user. The numerical results and plots of accuracy indicate that the ρ -DIBBDF method performs better than the existing fully and diagonally Block Backward Differentiation Formula (BBDF) methods.

Sign in / Sign up

Export Citation Format

Share Document