Mathematical optimization and approximation methods for primary molecular effect model in high temperature superconductors TL group [TC > 0°]

Abstract

Optimization-Modelling Molecular Effect methods for one HTSC group were approached/determined based on previous studies. Namely, Inverse Least Squares (ILS), 2D Numerical/Graphical Optimization in primary Molecular Effect model are presented. This contribution results deals with the Molecular Effect Model ILS Numerical/2D Graphical modelling for High Temperature Superconductors HTSCs group of [Tl- Sn-Pb-Ba-Si-Mn-Mg-Cu-O] whose TC > 0° C exclusively. This HTSCs class, among others, constitutes a recent materials innovation in HTSCs with both TC > 0° C and TC ˂ 0° C material compounds. It shows important recent/prospective electronics physics applications. For results with these optimization/simulations, classical ILS, 2D Interior Optimization, and 2D Graphical Optimization techniques are applied. Numerical-Imaging solutions comprise Tikhonov Regularization algorithms and mathematical modelling-methods for this HTSCs group. Primarily, results prove a 2D sinusoidal analytic geometry model curve. Findings for this Molecular Effect ILS optimization show acceptable theoretical Numerical, 2D Graphical Optimization outcomes with low residuals. Results comprise two strands, the modelling for TC Molecular Effect, and the ILS software/imaging methods. HTCS Electronics Physics applications emerge from numerical and graphical results.